Number Properties
Powers of 10
Order of Operation
Ratios, Rates and %
Word Problems
100
11 X (4 X 2) = (11 X 4) X 2 is an example of which property
What is Associative Property of Multiplication
100
2 x _____ = 200
What is 10^2
100
Parenthesis is the first or last operation in an expression
First
100
70% is also written like this
7/100
100
The answer to this numerical expression: (23 + 7) X 3 - 5 =
30 X 3 - 5 = 90 - 5 = 45
200
15 + (10 + 10) = (15 + 10) + 10 is an example of this property
What is Associative Property of Addition
200
3 X ______ = 30
10^1
200
9 - 5 ÷ (8 - 3) x 2 + 6 use the order of operations to solve
Step 1: 9 - 5 ÷ (8 - 3) x 2 + 6 = 9 - 5 ÷ 5 x 2 + 6 Parentheses Step 2: 9 - 5 ÷ 5 x 2 + 6 = 9 - 1 x 2 + 6 Division Step 3: 9 - 1 x 2 + 6 = 9 - 2 + 6 Multiplication Step 4: 9 - 2 + 6 = 7 + 6 Subtraction Step 5: 7 + 6 = 13 Addition
200
35% is also written like this
35/100
200
If it is 500 feet from your house to school and you walk to school each morning, but get a ride home in the afternoon, how many feet do you walk in 5 days?
2,500
300
14 + 10 + 18 = 10 + 14 + 18 is an example of this property
What is the Commutative Property of Addition
300
5 X ______ = 5,000
10^3
300
3 + 6 x (5 + 4) ÷ 3 - 7 use the order of operations to solve
Step 1: 3 + 6 x (5 + 4) ÷ 3 - 7 = 3 + 6 x 9 ÷ 3 - 7 Parentheses Step 2: 3 + 6 x 9 ÷ 3 - 7 = 3 + 54 ÷ 3 - 7 Multiplication Step 3: 3 + 54 ÷ 3 - 7 = 3 + 18 - 7 Division Step 4: 3 + 18 - 7 = 21 - 7 Addition Step 5: 21 - 7 = 14 Subtraction
300
Sam saved his $4 of his allowance each week. How much will he have after 6 weeks?
$4 X 6 = $24
300
This is another way to write: (6 X 1,000) + (4 X 100) + (2 X 10) + (2 X 1)
6,421
400
40 + 0 = 40 Is an example of this property
What is the Identity Property of Addition
400
5 X 10^0 = _______
5
400
9 + 6 x (8 - 5) = 42 This is true or false
False 9 + 6 x (8 - 5) = 9 + 6 X (3) = 9 + 18 = 27
400
If you drive 90 miles in 2 hours, your rate can be written as
90/2 = 45/1 or 45
400
Sarah buys 4 pieces of candy for $2 each. She also buys 3 drinks. If her drinks cost twice as much as her candy, how much money does she need?
4 X $2 = $8 2 X $2 = $4/each 3 X $4 = $12 12 + 4 = $16
500
6 X 1 = 6 Is an example of this property
What is the Identity Property of Multiplication
500
3 X 10^3 = ________
3,000
500
150 ÷ (6 + 3 x 8) - 5 use the order of operations to solve
Step 1: 150 ÷ (6 + 3 x 8) - 5 = 150 ÷ (6 + 24) - 5 Multiplication inside Parentheses Step 2: 150 ÷ (6 + 24) - 5 = 150 ÷ 30 - 5 Addition inside Parentheses Step 3: 150 ÷ 30 - 5 = 5 - 5 Division Step 4: 5 - 5 = 0 Subtraction
500
Jean travels 444 miles in 6 hours. How far does she travel in just one hour?
6 hours/444 miles = 1/x cross multiply 6X = 444 X= 74 miles
500
There are 20 cars driving students on a field trip. If there are 4 students in each car, how many students are going on the field trip?
5 X 4 = 80 students
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