decimals - njctlcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · comparing...
TRANSCRIPT
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Decimals
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Define & Review Vocabulary
Identify Place Values
Read and Write Decimals
Compare & Order Decimals
Round Numbers to Designated Place Values
Relate Fractions, Decimals & Percents
Decimal Operations
Real Life Applications
Table of Contents
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A Decimal Number (based on the number 10) contains
a Decimal Point.
Move me to find out!
What is a decimal number?
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What is the value of a yellow rod?
Blue Block
Red Block
How many yellow rods are needed to fill the blue block?
Yellow Rod
How many red blocks are needed to fill the blue block?(Hint: Fill a yellow rod with red blocks)
What is the value of a red block?
One Unit
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...........
PU
LLN
OT
E:
CA
N B
ES
TU
DE
N
Place Value Chart
million
hundred thousandten thousand
thousand
hundred
ten
one
and
tenth
hundredth
thousandthten thousandth
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Remember the place values after the decimal point start with tenths
mill
ion
hund
red
thou
sand
ten
thou
sand
thou
sand
hund
red
ten
one
and
tent
h
hund
redt
h
thou
sand
thte
n th
ousa
ndth
9, 8 7 5, 6 1 0 . 4 7 9 4
This number is read:
Nine million, eight hundred seventy-five thousand, six hundred ten AND four thousand, seven hundred ninety-four ten thousandths
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1
A 7
What digit is in the thousandths place?
4,567,098.2318
B 1
C 3
D 8
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2 What digit is in the hundreds place?
6,789.043
A 7
B 4
C 3
D 0
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3 What digit is in the millionths place? 6,754,123.945678
A 6
B 7
C 8
D 4
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4 What digit is in the tens place?
5,432.981
A 4
B 1
C 9
D 3
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5
A 3
B 4
C 2
D 5
What digit is in the ten thousands place?
543,127.9832
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0 . 0 7
5 4 6 . 2 5 9
8 . 3
0 . 8 9
0 . 0 1 1
2 3 5 4 . 6
9 . 7
Can you read the number?
thou
sand
s
hund
reds
tens
ones
and
tent
hs
hund
redt
hs
thou
sand
ths
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1. Look to see if there is a number to the left of the decimal; if so write it out. If there is no number to the left of the decimal, skip to step 3. 2. Write an and for the decimal point. 3. Write the number in the decimal part. 4. Write the word for the place value of the rightmost digit.
How do you write a decimal in words?
Write 13.24 in words
Thirteen and twenty-four hundredths
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How does a comma help when writing a decimal number?
The place value before the comma is always stated.
For example:
1,547 is writtenOne THOUSAND, five hundred forty-seven
6,547,100 is written6 MILLION, five hundred forty-seven THOUSAND, one hundred
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Write the decimal in words
1) 5.04 Five and four hundredths
2) 146.457 One hundred forty-six and four hundred fifty-seven thousandths
3) .0009 Nine ten-thousandths
4) 6,345.1498 Six thousand, three hundred forty-five and one thousand, four hundred ninety-eight ten thousandths
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Writing a decimal numerically
1. If there is a ths, there will be a decimal
2. If there is an and, there will be a whole number to the left of the decimal
3. Note the ending - this is the place where the decimal number will end
4. Use the decimal chart to help you!
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Use the chart as a guide to write the decimal numbers
1. four hundred nineteen and five hundredths
2. sixty-five and nine thousandths
3. seven thousand, four hundred thirty-three and twenty hundredths
4. six thousand and eight tenths
thou
sand
s
hund
reds
tens
ones
and
tent
hs
hund
redt
hs
thou
sand
ths
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Comparing Decimals
· Line up all of the decimal points· Put zeros in wherever digits are missing· Compare the digits, from left to right· The largest digit, having the same place value, names the largest number
Example:
910.800085.007910.801911.900085.070
What digit tells us this is the largest number?
1
Why isthis the smallest number?
Compare the digits
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Order from least to the greatest
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12.405Order from least to greatest
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6 The number with the least value is:
A 12.001
B 12.011
C 12.0009
D 12.0019
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7 The number with the least value is:
A 0.01
B 0.011
C 0.001
D 0.00101
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8 The number with the greatest value is:
A 2.9
B 2.99
C 2.899
D 2.8999
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9 The number with the greatest value is:
A 597.65
B 598.09
C 598.12
D 597.605
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10 How much money would you like to win?
A 1600.50
B 1599.09
C 1601.01
D 1610.02
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Let's learn how to round decimals using the following examples:
Round 513.287 to the nearest tenths place.
When rounding decimals, put your pencil point under the place value that you are rounding to
DO NOT MOVE IT
513.287
Rounding Decimals
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Look to the right.
Is the digit 5 or more? Yes OR No
What happens to the 2? Increases by 1 OR remains the same
What happens to everything to the left of the tenths place? Those digits always remain the same.
513.287
Put your pencil point under the digit in the tenths place.
Final Answer: 513.3
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What happened to the digits to the right of the tenths place?
Remember, we are rounding.
The place values to the right of the tenths place have zero value, so now the digits 8 and 7 become zeroes.
513.300 = 513.3
Try the next example...
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Round 3.14159265 to the nearest hundredths place.
First, choose the digit that represents the hundredths place.
11 Answer?
A B C
First, put your pencil point under the 4 and look at the digit to the right. Ask yourself: "Is this digit 5 or more?" Since it's a 1, the 4 remains a 4, and everything after it becomes a zero.
3.14000000 = 3.14
D
Choose which letter is under the hundredths place.
3.14159265
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When rounding to a specific place, your answer MUST have a digit in that place.
Example:Round 14.95 to the nearest tenth
Answer: 15.0 There must be a digit in the tenths place, since we were to round to the tenths place.
Try this:Round 345.6982 to the nearest hundredths place
Answer: 345.70
Caution!
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12 Round
9876.543219
to the nearest hundredths
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13 Round
9876.543219
to the nearest hundred
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14 Round
9876.543219
to the nearest tenths
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15 Round
9876.543219
to the nearest thousandths
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16 Round
9876.543219
to the nearest unit
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decimals
fractions
Writing Decimals as Fractions
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Writing decimals as fractions...
Move the decimal part of the original number into the numerator (without the decimal point)
Example 1:
=0.25
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0.25
Example 1:
=
Then count the number of places to the right of the decimal point.
This place value will become your denominator...
25
100
Writing decimals as fractions...
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Finally, simplify the fraction.
Writing decimals as fractions...
Example 1:
0.25 =25
100=
4
1
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Writing decimals as fractions...
Example 2:
=0.032
Move the decimal part of the original number into the numerator (without the decimal point)
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0.032
Example 2:
=
Then count the number of places to the right of the decimal point.
This place value will become your denominator...
32
1,000
Writing decimals as fractions...
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Finally, simplify the fraction.
Writing decimals as fractions...
Example 2:
0.032 =32
1000=
125
4
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If there is a whole part to the original number, move the whole part to front of the fraction.
Writing decimals as fractions...
Example 3:
=4.1
What will the place value be?
Move the decimal part of the original number into the numerator (without the decimal point)
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Can this fraction be reduced?
Writing decimals as fractions...
Example 3:
4.1 =1
104
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Let's review how to write a decimal as a fraction!
· Numerator is decimal part of the original number
· Denominator is place value of rightmost digit
· Simplify the fraction
· Whole numbers are written in front of the fraction
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17 Write the decimal as a fraction or mixed number in simplest form:
0.85
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18 Write the decimal as a fraction or mixed number in simplest form:
4.375
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19 Write the decimal as a fraction or mixed number in simplest form:
1.0025
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20 Write the decimal as a fraction or mixed number in simplest form: 14.12
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21 Write the decimal as a fraction or mixed number in simplest form:
8.002
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Common Equivalents you should know like the back of your hand!
0.25 0.75 0.5 0.2
14
34
12
15
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Some repeating decimals can be converted to fractions. These are common equivalents you should also know!
0.3333... 0.6666... 0.1666... 0.8333...
13
23
16
56
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decimals
fractions
Writing Fractions as Decimals
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The Pit!
Divide the numerator by the denominator...Or kick the numerator into the pit!
Writing fractions as decimals...
Example 1:
7
20=
7
20
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Then do the math
Writing fractions as decimals...
Example 1:
7
20=
7.0020=0.35 0.35
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PULLIt is less work to put the 3 in front of the decimal point.What happens if we change the mixed number to an improper fraction? Do we eventually get the same answer?
The Pit!
Divide the numerator by the denominator...Or kick the numerator into the pit!
Writing fractions as decimals...
Example 2:
5
8=3
5
83
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What happens if you use
Then do the math
Writing fractions as decimals...
Example 2:
0.6255
8=3
5.00083 = 3.625
298
?
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The Pit!
Divide the numerator by the denominator...Or kick the numerator into the pit!
Writing fractions as decimals...
Example 3:
5
6=
5
6
![Page 65: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/65.jpg)
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Then do the math
Writing fractions as decimals...
Example 3:
5
6=
5.00060.833
= 0.83
![Page 66: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/66.jpg)
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Definitions:Repeating decimal: A decimal in which a pattern of one or more digits is repeated indefinitely, such as 0.353535...To show that a decimal is repeating, a bar is often put above the repeating digits: .35 means .353535...A repeating decimal does not end.
Terminating decimal: A decimal that has only a finite number of nonzero digits to the right of the decimal point, such as 0.56
Challenge Create a decimal that is non-terminating
and non-repeating.
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The Pit!
Divide the numerator by the denominator...Or kick the numerator into the pit!
Writing fractions as decimals...
Example 4:
5
3=
5
3
![Page 68: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/68.jpg)
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Then do the math
Writing fractions as decimals...
Example 4:
5
3=
5.00031.666
= 1.6
Repeatingdecimal!
![Page 69: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/69.jpg)
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Then do the math
Writing fractions as decimals...
Example 5:
-74
=-7.004-1.75
= -1.75
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22 Write the fraction as a decimal:
3 10
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23 Write the mixed number as a decimal: 3
4
5
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24 Write the fraction as a decimal:
31 22
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25 Write the fraction as a decimal and round to the nearest hundredth:
37
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26 Write the fraction as a decimal:
-12
5
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1 2
1 3
1 4
0.5 0.3333... 0.25
Common Equivalents you should know like the back of your hand!
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Common Equivalents you should know like the back of your hand!
1 5
2 3
3 4
0.2 0.666... 0.75
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0
deci
mal
s percentsWriting Decimals as Percents
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What does percent mean?
Percent means parts per 100The symbol is %
Example: 50% means 50 per 100
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Multiply by 100 and add the percent symbol.
0.75
Example 1:
=1000.75 =
RememberTo multiply a # by 100, move the decimal two places to the RIGHT. 0.75
Writing decimals as percents...
75%
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Multiply by 100 and add the percent symbol.
0.09
Example 2:
=1000.09 =
RememberTo multiply a # by 100, move the decimal two places to the RIGHT. 0.09
Writing decimals as percents...
9%
![Page 81: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/81.jpg)
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Multiply by 100 and add the percent symbol.
0.007
Example 3:
=1000.007 =
RememberTo multiply a # by 100, move the decimal two places to the RIGHT. 0.007
Writing decimals as percents...
0.7%
![Page 82: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/82.jpg)
Slide 82 / 183
Multiply by 100 and add the percent symbol.
0.4
Example 4:
=1000.4 =
RememberTo multiply a # by 100, move the decimal two places to the RIGHT. 0.4
Writing decimals as percents...
40%
![Page 83: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/83.jpg)
Slide 83 / 183
Multiply by 100 and add the percent symbol.
1.49
Example 5:
=1001.49 =
RememberTo multiply a # by 100, move the decimal two places to the RIGHT. 1.49
Writing decimals as percents...
149%
![Page 84: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/84.jpg)
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Multiply by 100 and add the percent symbol.
8
Example 6:
=1008 =
RememberTo multiply a # by 100, move the decimal two places to the RIGHT. 8
Writing decimals as percents...
800%
![Page 85: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/85.jpg)
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27 Write the decimal as a percent:
0.45
45%
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Slide 86 / 183
28 Write the decimal as a percent:
1.3
130%
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29 Write the decimal as a percent:
0.008
.8%
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Slide 88 / 183
30 Write the decimal as a percent:
5
500%
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Slide 89 / 183
31 Write the decimal as a percent:
.2
20%
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perc
ent
decimal
Writing Percents as Decimals
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Slide 91 / 183
Divide by 100 and remove the percent symbol.
28%
Example 1:
=10028% =
RememberTo divide a # by 100, move the decimal two places to the LEFT. 28%
Writing percents as decimals...
0.28
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Slide 92 / 183
Divide by 100 and remove the percent symbol.
8%
Example 2:
=1008% =
RememberTo divide a # by 100, move the decimal two places to the LEFT. 8%
Writing percents as decimals...
0.08
![Page 93: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/93.jpg)
Slide 93 / 183
Divide by 100 and remove the percent symbol.
0.4%
Example 3:
=1000.4% =
RememberTo divide a # by 100, move the decimal two places to the LEFT. 0.4%
Writing percents as decimals...
0.004
![Page 94: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/94.jpg)
Slide 94 / 183
Divide by 100 and remove the percent symbol.
375%
Example 4:
=100375% =
RememberTo divide a # by 100, move the decimal two places to the LEFT. 375%
Writing percents as decimals...
3.75
![Page 95: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/95.jpg)
Slide 95 / 183
32 Write the percent as a decimal:
2%
.02
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Slide 96 / 183
33 Write the percent as a decimal:
658%
6.58
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Slide 97 / 183
34 Write the percent as a decimal:
0.019%
.00019
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.043
35 Write the percent as a decimal:
4.3%
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Slide 99 / 183
0.005
36 Write the percent as a decimal:
.5%
![Page 100: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/100.jpg)
Slide 100 / 183
fractions
percents
Writing Fractions as Percents
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Slide 101 / 183
Write an equivalent fraction with a denominator of 100.
Example 1:
34
=100
x 34
=100
x25
10075
Writing fractions as percents...
75%
25
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Slide 102 / 183
Write an equivalent fraction with a denominator of 100.
Example 2:
45
=100
x 45
=100
x20
10080
Writing fractions as percents...
80%
20
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Slide 103 / 183
Write an equivalent fraction with a denominator of 100.
Example3:
94
=100
x 94
=100
x25
100225
Writing fractions as percents...
225%
25
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Slide 104 / 183
Write an equivalent fraction with a denominator of 100.
Example 4:
3600
=100
x 3600
=100
x6
1000.5
Writing fractions as percents...
0.5%
6
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Slide 105 / 183
37 Write the fraction as a percent:
1920
95%
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Slide 106 / 183
38 Write the fraction as a percent:
9 1000
.9%
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Slide 107 / 183
39 Write the fraction as a percent:
8 100
8%
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Slide 108 / 183
40 Write the fraction as a percent:
5 2
250%
![Page 109: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/109.jpg)
Slide 109 / 183
41 Write the fraction as a percent:
3 500
.6%
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Slide 110 / 183
To write any fraction as a percent:
Express the fraction as a decimaland then express the decimal as a percent.
Example 5:
78
0.8757.000
87.5%
80.875 100
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Slide 111 / 183
To write any fraction as a percent:
Express the fraction as a decimaland then express the decimal as a percent.
Example 6:
129
1.33312.000
133.3%
91.333 100
![Page 112: Decimals - NJCTLcontent.njctl.org/courses/math/archived-courses... · 5/13/2009 · Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing](https://reader033.vdocuments.net/reader033/viewer/2022051911/600104f77a15a3235b682ccc/html5/thumbnails/112.jpg)
Slide 112 / 183
To write any fraction as a percent:
Express the fraction as a decimaland then express the decimal as a percent.
Example 7:
58
0.6255.000
362.5%
83.625 1003 3
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42 Write the fraction as a percent:
58
62.5%
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43 Write the fraction as a percent. Round to the nearest whole percent.
47
57%
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44 Write the fraction as a percent:
3 5
360%
3
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45 Write the fraction as a percent:
2 500
.4%
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46 Write the fraction as a percent:
92
450%
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percents
fractions
Writing Percents as Fractions
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Writing percents as fractions...
Express the % as a fraction with a denominator of 100, then simplify.
Example 1:
75% =75
=100
3
4
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Writing percents as fractions...
Express the % as a fraction with a denominator of 100, then simplify.
Example 2:
120% =120
=100
1
51
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Multiply by 10to get rid of the decimal
Writing percents as fractions...
Express the % as a fraction with a denominator of 100, then simplify.
Example 3:
0.3% =0.3
=100
3
1000
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Multiply by 100to get rid of the decimal
Writing percents as fractions...Express the % as a fraction with a denominator of 100, then simplify.
Example 4:
% = =100
1
42
9
4
100
2.25=
10,000
225=
400
9
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Writing percents as fractions...another wayExpress the % as a fraction with a denominator of 100, then simplify.
Example 4:
Convert the percent to a fraction. Divide the numerator by the denominator (100). Simplify.
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2 5
47 Write the percent as a fraction in simplest form:
40%
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48 Write the percent as a fraction in simplest form:
110%
1110
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49 Write the percent as a fraction in simplest form:
0.5%
1200
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50 Write the percent as a fraction in simplest form:
8%
2 25
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51 Write the percent as a fraction in simplest form:
5 %
4 75
13
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Relate Fractions, Decimals & Percents
...Tying it all together!
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Helping you remember...
Fill in each box below with an example of the process described.
% to a fraction % to a decimal
fraction to a % decimal to a %
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52 Find the lowest value
A 5%
B 1/2
C .5%
D .05
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53 Find the greatest value
A 120%
B 1.02
C .2%
D 1.19
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54 Find the greatest value
A 6%
B .6
C 60
D 6
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55 Find the lowest value
A 2%
B .2
C .02
D .2%
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56 Find the lowest value
A 50%
B 500%
C 50.0
D 50.01
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Reorder the amount starting with the lowest value
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Reorder the amount starting with the lowest value
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Reorder the amount starting with the lowest value
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Add decimals
0.25 0.25 0.25 0.25
Four quarters equal one dollar
= $1.00
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When adding or subtracting decimals, always remember to align the decimals vertically...
0.250.250.250.251.00+
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Now, try this - Don't forget - LINE 'EM UP
0.1 + 1.25 + 0.04 + 1.39
0.101.250.041.39+
2.78
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If you know how to add whole numbers then you can add decimals. Just follow these few steps.
Step 1: Put the numbers in a vertical column, aligning the decimal points.
Step 2: Add each column of digits, starting on the right and working left.
Step 3: Place the decimal point in the answer directly below the decimal points that you lined up in Step 1.
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1.15
57 Add the following:
0.6 + 0.55
A 6.1
B .115
C 1.15
D 0.16
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58 Find the sum
1.025 + 0.03 + 14.0001
15.0551
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59 What is the sum of
12.034 and 0.0104?
A 12.1344
B 12.0444
C 12.138
D 1.20444
B
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20.34
60 Find the sum
8 + 0.04 + 12.3
A 13.14
B 19.34
C 20.34
D 20.14
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61 Find the sum:
5 + 100.14 + 57.89 + 2.3
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Let's go to Cool Math and practice addition:
Cool Math Link
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Put the numbers in a vertical column aligning the decimal points.
1.1- 0.3
Subtract the numbers from right to left using the same rules as whole numbers.
1.1- 0.3
0.8
Subtract decimals
10
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What do we do if there aren't enough decimal places when we subtract?
4.3 - 2.05
Don't forget...Line 'em Up!
4.32.05
What goes here?
4.302.05
2.25
2
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Cool Math Link
Let's go to Cool Math and practice subtraction:
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625 - 0.23
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6312.809 - 4
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641897.11 - 0.647
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654.1 - 0.09
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6617 - 13.008
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Multiply & Divide Decimals
To multiply two decimals:
· Ignore the decimal points
· Multiply the numbers
· Count the total number of digits to the right of the decimal points
· Put that many digits to the right of the decimal point in your answer
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Multiply & Divide Decimals
3.21x .04
.1284
There are a total of four digits to the right of the decimal points.
There must be four digits to the right of the decimal point in the answer.
}
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23.2x 4.04
928
93.728
There are a total of three digits to the right of the decimal points.
There must be three digits to the right of the decimal point in the answer.
} 92800
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67 Multiply 0.4 x 0.03
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68 Multiply 3.45 x 2.1
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69 Multiply 53 x 0.08
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70 Multiply 4.01 x 7.8
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71 Multiply 0.012 x 0.21
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Divide decimals
To divide a decimal by a whole number:Use long division.Bring the decimal point up in the answer
56.08
28 04
2
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Try these!
112.045
56.0008
PULLPull5
2
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To divide a number by a decimal:
· Change the divisor to a whole number by multiplying by a power of 10
· Multiply the dividend by the same power of 10
· Divide
· Bring the decimal point up in the answer
DividendDivisor
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15.6 6.24
Multiply by 10, so that 15.6 becomes 1566.24 must also be multiplied by 10
156 62.4
.234 23.4
Multiply by 1000, so that .234 becomes 23423.4 must also be multiplied by 1000
234 23400
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By what power of 10 should the divisor and dividend be multiplied?
4.15 2.5 means
.008
0.9
68.342 means
4.2
678.921
2.2
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72 Divide
0.78 0.02
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73
0.6 4.866
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74
10 divided by 0.25
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75
12.03 0.04
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76
0.012 24.6
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77 If you had six hundredths of a mile left to run, how would you write this distance as a decimal?
A 6.0
B .6
C .06
D 06.0
E .60
C
Pull
Pull
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78 Your weekly grocery bill averages $97.39. Round your total to the nearest 10 dollars to figure out approximately how much money to save for groceries per week.
A $100.00
B $90.00
C $97.00
D $95.00A
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79 Sally won $25.00 for her science fair project. Her project cost $12.57 to prepare. How much did Sally actually make as a profit?
A $37.57
B $12.43
C $13.57
D $12.00B
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80 Five students collected paper to be recycled. Shelly's stack was .008 cm. thick; Ken's stack was .125 cm. thick; Joe's stack was .150 cm. thick; Betty's stack was .185 cm. thick; Mary's stack was .005 cm. thick. What was the thickness of the papers collected to be recycled?
A .561 cm.
B .452 cm.
C .480 cm.
D .473 cm.
D
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81 The regular price of a pair of jeans is $29.99. Mrs. Jones has four children for whom she must buy new jeans. The jeans are on sale for $22.50.
What would the total cost be of four pairs of jeans on sale?
A $119.96
B $90.00
C $86.00
D $52.49
B
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82 The regular price of a pair of jeans is $29.99. Mrs. Jones has four children for whom she must buy new jeans. The jeans are on sale for $22.50.
How much money does she save by buying the jeans on sale?
A $7.49
B $30.96
C $29.96
D $89.96
C
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