CREATED BY PAM SHEMBO

*PLACE VALUE

*Place value

* PLACE VALUE CHARTS WITH DECIMALS

*PROPERTIES OF NUMBERS

*FACTORS: Numbers that you multiply to have

a product.

Ex: Factors of 24

1X24= 24

2X12= 24

3X8 = 24

4X6 = 24

List: 1, 2, 3, 4, 6, 8, 12 and 24.

*PROPERTIES OF NUMBERS

*MULTIPLES: The product of a given whole

number and any other whole

number.

Ex: Multiples of 24: 24, 48, 72, 96, 120,...

*LEAST COMMON MULTIPLE OF 4 AND 5

*Mutiples of 4 : 4, 8, 12, 16, 20, 24, …

*Mutiples of 5: 5, 10, 15, 20, 25, 30,…

*LCM: 20

*PROPERTIES OF NUMBERS

*PRIME NUMBERS: Numbers that only have 2 factors (1 and the number itself).

Ex: 2 1X2 = 2 1,2

11 1X 11 = 11 1, 11

*COMPOSITE NUMBERS: Numbers that have more than 2 factors.

Ex: 12 1X12= 12 2X6=12 3X4=12

1, 2, 3, 4, 6, 12

*PROPERTIES OF NUMBERS

*ATTENTION!

1 and 0 are nor prime or composite!

*SQUARE NUMBER: A number that has been multiplied by itself.

Ex: 16 4X4= 16

25 5x5= 25

*PROPERTIES OF NUMBERS

*EXPONENTS (EXPOSANTS):

5X5X5= 5 exponent 3 = 125

*Properties of multiplication

*1. Commutative property: You can change the

order of the factors.

Ex: 50 X 4 = 4 X 50

2. Associative property: You can change the

grouping of factors.

Ex: (7 X 25) X 4 = 7 x (25 x 4)

* PROPERTIES OF MULTIPLICATION

*3. Distributive property

Ex: 4 X 28 = 4 X (20 + 8) = (4X20) + (4x8)=

112

* 4. Identical property

Ex: 1 X 243 = 243

* 5. Zero property

Ex: 0 x 243 = 0

*PROPERTIES OF NUMBERS

*STEPS TO FOLLOW IN A DIVISION:

*1. Daddy-Divide (How many times the divisor goes into part of the dividend?)

*2. Mommy-Multiply

*3. Sister- Subtract

*4. Brother-Bring Down

*5. Daddy-Divide

*PROPERTIES OF NUMBER

*ORDER OF OPERATIONS:

*1. Parenthesis, brackets, braces (Go from the

* inside to the outside)

*2. Exponents: 3X3X3 = 3 exponent 3 = 27

*3. Divisions or multiplications in the order that they appear in the equation from left to right.

*4. Subtractions or additions in the order that they appear in the equation from left to right.

*PROPERTIES OF NUMBERS

VOLUME OF A RECTANGULAR PRISM

*Vol = Length X Width X Height

*OR Vol = Base X Height

AREA Of A RECTANGLE

A = Length X Width

AREA OF A SQUARE

A = S X S OR A = S exponent 2

*PROPERTIES OF NUMBERS

*PERIMETER OF A RECTANGLE

*P = Length + Length + width + width

*Or P = (Lx2) + (wx2)*PERIMETER OF A SQUARE

*P = s+s+s+s

*OR = s x 4

*FRACTIONS/PERCENTS

*½= 50/100= 50%

*¼= 25/100= 25%

*¾ = 75/100= 75%

* 1/3 = 33.3/100 =33.3%

*2/3 = 66.6/100= 66.6%

*1/8 = 12.5/100=12.5%

*1/5 = 20/100 = 20%

*1/10 = 10/100 =10%

*+/- FRACTIONS

*1/4 + 1/6 = 3/12 + 2/12 = 5/12

*2/3 – ½ = 4/6 – 3/6 = 1/6

*3 ½ - 1 2/3= 3 3/6 - 1 4/6 = 2 9/6 – 1 4/6=

1 5/6.

*X OF FRACTIONS

*½ X ¼ = 1/8 Multiply the numerators together and the denominators together.

*2 ¼ X 10 = 2 X 10 = 20

¼ X 10 = ¼ X 10/1 = 10/4 = 10 ÷ 4 =2.5

20 + 2.5 = 22.5 = 22 and1/2

*2 ¼ X 3 1/5 = 9/4 X 16/5 = 144/20 = 7 and 1/5

*For mixed number change them into improper fractions!

*÷ OF FRACTIONS

*2 ÷ ¼ = 8 How many times ¼ goes into 2?

*¼ ÷ 2 = 1/8 If ¼ of a pizza is left and 2 children share this 1/4 , how much of the whole pizza will each get?

*LINE PLOT WITH FRACTIONS

*INTERPRETING DATA

*The Range: The difference between the biggest and the smallest number in a series of data.

*The Mode: The number that is the most frequent in a series of data.

*The Median: The number in the middle in a series of data when you have placed them from smallest to biggest.

*The Mean (The Average): Find the sum of a series of numbers and then divide by how many numbers there are.

*GEOMETRY:TRIANGLES

*GEOMETRY: QUADRILATERALS

*GEOMETRY: HIERARCHY

*GEOMETRY

*GEOMETRY

*COMPARISON OF DECIMALS

*Place these numbers from least to greatest:

0.517, 1.25, 0.3, 1.8

Strategy to use: ADD ZEROS

0.517, 1.250, 0.300, 1.800

Now place them from least to greatest

0.300, 0.517, 1.250, 1.800

* ADDITION AND SUBTRACTION OF DECIMAL NUMBERS

*To add or subtract decimal numbers ADD ZEROS!

*EX: 5 – 3.89 =

* 5.00

*-3.89

*_____

*1. 11

* ADDITIONS AND SUBTRACTIONS OF DECIMAL NUMBERS

*When you add or subtract decimal numbers LINE UP DECIMAL POINTS AND ADD ZEROS.

*EX: 3 + 2.258 =

* 3.000

*+ 2.258

*___________

* 5. 258

*MULTIPLICATION OF DECIMAL NUMBERS

*Multiplication of decimal numbers: DO NOT ADD ZEROS

* 6.8 X 2.3 =

* 6.8 One digit after the decimal point

* X 2.3 One digit after the decimal point

* ______

* 204

*+ 1360

* ______

* 15.64 2 digits after the decimal point

* DIVISIONS OF DECIMAL NUMBERS

*DIVISIONS OF DECIMAL NUMBERS

*EX: 21.52 ÷ 0.8 =

*1. Estimate: 21 ÷ 1 = 21

*2. Calculate without the decimal points: 2152 ÷ 8= 269

*3. Compare: 21 and 269. What can you do so that 269 will be close to 21? Add a decimal point so the answer is 26.9.

*21.52 ÷ 0.8 = 26.9

*4. Verify your answer: 26.9 × 0.8 = 21.52

*UNITS OF LENGTH

US CUSTOMARY METRIC SYSTEM

1 ft = 12 in1 yd= 3 ft1 mi = 5280 ft1 mi = 1760 yd

1 cm = 10 mm1 m= 100 cm1 km = 1000 mKILO means 1000

*UNITS OF CAPACITY

US CUSTOMARY SYSTEM

METRIC SYSTEM

1 Gal = 4 qt1 qt = 2 pt1 pt = 2 c1 Gal = 8 pt1 Gal = 16 c

1 L = 1000 ml

*UNITS OF WEIGHT/MASS

US CUSTOMARY METRIC SYSTEM

1 lb = 16 oz1 T = 2000 lb

1 g = 1000 mg1 kg = 1000 g1 T = 1000 kgKILO means 1000

*UNITS OF CAPACITY US SYSTEM