Write Numerical Expressions
Interpret Numerical Expressions
Evaluate Numerical Expressions
Use Grouping Symbols
Vocabulary
100

Write a numerical expression to model the words. Divide 60 by 5.

 60 ÷ 5

100

Compare the numerical expressions. 

24 + 7 and 9 × (24 + 7)

9 × (24 + 7) is 9 times as great as 24 + 7.

100

3 × 8 – 6 × 3

6

100

Use parentheses to rewrite the numerical expression to have the given value. 


36 ÷ 9 + 3 – 2 value: 1

36 ÷ (9 + 3) – 2

100

Define evaluate.

to find the value of a numerical expression

200

Write a numerical expression to model the words. Divide 10 by the difference of 5 and 3.

10 ÷ (5 – 3)

200

Compare the numerical expressions. 

12 – 7 and 4 × (12 – 7)

4 × (12 – 7) is 4x greater than 12 -7

200

5 + 3 × 4 + 1

18

200

Use parentheses to rewrite the numerical expression to have the given value.

12 – 3 × 8 – 6 value: 66

(12 – 3) × 8 – 6

200

Define numerical expression. 

a mathematical phrase that uses only numbers and operation signs

300

Write a numerical expression to model the words.

Multiply 2 by the sum of 8 and 4.

(8 + 4) × 2

300

3 × (21 + 4) and 21 + 4

3 × (21 + 4) is 3 times as great as 21 + 4

300

Solve. (5 + 3 + 6) x 4

96

300

Use parentheses to rewrite the numerical expression to have the given value. 

15 + 17 ÷ 8 – 4 value: 8

(15 + 17) ÷ (8 – 4)

300

Define order of operations.

a special set of rules which gives the order in which calculations are done in a numerical expression.

400

Masha is training for a marathon. She is doing tempo runs to increase her speed. In tempo runs, a runner varies their pace during the run. Masha jogs 1 mile, then runs at a fast pace for 11 miles. She finishes by walking 2 miles to cool down. Write a numerical expression to model the number of miles Masha runs, walks, or jogs.

1 + 11 + 2

400

What is the relationship between 

7 × (18 – 5) and 18 – 5?

7 × (18 – 5) is 7 times as great as 18 – 5

400

90 ÷ {[2 × (4 + 1)] + 5}

90

400

Use parentheses to rewrite the numerical expression 25 – 4 × 3 + 2 to have a value of 11.

25 – (4 × 3 + 2)

400

Define G.E.M.S

Grouping,

Exponents,

Mult./Div.

Sub./Add

500

One small airplane has 44 seats. The flight crew sits in two of these seats. The remaining seats are divided equally into 7 rows for passengers. Explain how you would write a numerical expression to model the number of seats in each passenger row.

(44 – 2) ÷ 7

500

40 × 5 and 40 × 20

40 × 20 is four times as great as 40 × 5

500

Rewrite (4 + 2) × 3 using the Distributive Property, then evaluate.

(4 × 3) + (2 × 3); 18

500

Dan has a flower shop. He has a display of 36 roses. He sells 3 bouquets of 4 roses on Monday and 2 bouquets of 5 roses on Tuesday. What expression models the number of roses Dan has left in the display?

36 – (3 × 4) – (2 × 5)

500

Define P.E.M.D.A.S

Parenthesis,

Exponents,

Multiplication,

Division,

Addition,

Subtraction