today’s lesson... what: ordering rational numbers why: to order groups of fractions, decimals,...
TRANSCRIPT
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Today’s lesson . . .
What: ORDERING RATIONAL NUMBERS
Why: To order groups of fractions, decimals, percentages, and #’s written in scientific notation in both ascending and descending order.
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STRATEGY: Start with the whole #’s, move onto the
tenths, etc.
When comparing decimal #’s, start with the __________________________ place value digit and compare. If there is a “tie,” move on to the next digit, etc. In other words . . .1) Compare the whole numbers.2) If there is a “tie,” move on to the ______________________________ .3) If there is another “tie,” move on to the _______________________________.4) If needed, keep moving on to the next place value digit(s).
REVIEW (ORDERING DECIMALS):
greatest
tenthshundredths
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Examples:
Put the following decimal numbers in ascending order:1) 1.025 1.25 0.039 0.4
Answer:2) 0.0055 0.2 0.015 0.15
Answer:3) 0.75 0.425 0.9 0.45
Answer:
0.039; 0.4; 1.025; 1.25
0.0055; 0.015; 0.15; 0.2
0.425 ; 0.45; 0.75; 0.9
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Put the following numbers in ascending (least to great) order:
STRATEGY: Convert everything into decimals first!
# Frac. Decimal % Scientific Notation
Answer(List in Original Form):
1. 1/8 0.0255 13% 1.25 x 10-
2
2. 1¾ 1.755 1.7% 1.7 x 103Decimal
Version
Decimal
Version
1) 1.25 x 10-22) 0.02553) 1/84) 13%1) 0.0172) 1 ¾
3) 1.7554) 1.7 x 103
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3. ¼ 0.3 20% 2.5 x 10-3On Your own:
Place the decimals from #3 (above) on the below number line:
Hmmm. I wonder how this number line
is divided??
1) 2.5 x 10-32) 20%3) ¼
4) 0.3
Tenths of course!!
0.0025
0.25
0.2
0.3
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# Frac. Decimal % Scientific Notation
Answer(List in Original Form):1. 2/5 0.45 40.5% 4.1 x 10 -4
2. 2/3 0.6 66% 6.6 x 10-3
Put the following numbers in descending (greatest to least) order:
Place the decimals from #1 (above) on the below number line:
1) 0.452) 40.5% 3) 2/54) 4.1 x 10-41) 2/32) 66%3) 0.64) 6.6 x 10-3
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Word Problems:1. Amanda, Bill, Cynthia, and Max went running. Amanda ran 3.2 miles, Bill ran 3 2/5 miles, Cynthia ran 3.2 x 10 -2 miles, and Max ran 50% of 6 miles. Who ran the least amount of distance? Cynthia ran the least distance becauseShe only ran 0.032 miles, which is only 3.2% of a mile!
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2. At Simpson Middle School, the 6th graders are absent 1/8 of the time,the 7th graders are absent 0.1 of the time, and 8th graders are absent 13.5% of the time. Which grade is absent the most? The 8th graders are absent the most!
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END OF LESSON
The next slides are student copies of the notes for this lesson. These notes were handed out in class
and filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)
represent the homework assigned for that day.
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When comparing decimal #’s, start with the __________________________place value digit and compare. If there is a “tie,” move on to the next digit, etc. In other words . . .1) Compare the whole numbers.2) If there is a “tie,” move on to the ______________________________ .3) If there is another “tie,” move on to the ___________________________.4) If needed, keep moving on to the next place value digit(s).
STRATEGY: Start with the
whole #’s, move onto the
tenths, etc.
Math-7 NOTES DATE: ______/_______/_______What: ORDERING RATIONAL NUMBERSWhy: To order groups of fractions, decimals, %’s, and #’s written in scientific notation in both ascending and descending order.
NAME:
REVIEW (ORDERING DECIMALS):
Examples:Put the following decimal numbers in ascending order:1) 1.025 1.25 0.039 0.4Answer:2) 0.0055 0.2 0.015 0.15Answer:3) 0.75 0.425 0.9 0.45Answer:
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Put the following numbers in ascending (least to great) order:
STRATEGY: Convert
everything into decimals first!
# Fraction Decimal % Scientific Notation
Answer(List in Original Form):1. 1/8 0.0255 13% 1.25 x 10-2
2. 1¾ 1.755 1.7% 1.7 x 103
3. ¼ 0.3 20% 2.5 x 10-3
Decimal
Version
Decimal
Version
Decimal
Version
Place the decimals from #3 (above) on the below number line:
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Put the following numbers in descending (greatest to least) order:# Fraction Decimal % Scientific Notation
Answer(List in Original Form):1. 2/5 0.45 40.5% 4.1 x 10 -4
2. 2/3 0.6 66% 6.6 x 10-3 Decimal
Version
Decimal
Version
Word Problems:1. Amanda, Bill, Cynthia, and Max went running. Amanda ran 3.2 miles, Bill ran 3 2/5 miles, Cynthia ran 3.2 x 10-2 miles, and Max ran 50% of 6 miles. Who ran the least amount of distance? 2. At Simpson Middle School, the 6th graders are absent 1/8 of the time, the 7th graders are absent 0.1 of the time, and 8th graders are absent 13.5% of the time. Which grade is absent the most?
Place the decimals from #1 (above) on the below number line:
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PRACTICE WORKNAME:________________________________________________________________________________DATE: _____/_____/__________
“Ordering rational numbers”
# Fraction Decimal % Scientific Notation
Answer(List in Original Form):1. 4/5 0.08 80.5% 8 x 10 -3
2. 1/3 0.34 33% 3.3 x 10-2
3. 41/44.3 42.5% 4.25 x 102
# Fraction Decimal % Scientific Notation
Answer(List in Original Form):4. ¼ 0.025 2% 2.5 x 10-4
5. 5/60.83 8.3% 8.35 x 10-2
6. 14/160.0975 8.75% 8.75 x 102
Order the following from least to greatest (ascending):
Order the following from to greatest to least (descending):
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PRACTICE WORKNAME:________________________________________________________________________________DATE: _____/_____/__________
“Ordering rational numbers”