# Worksheet: Order of Operations: Evaluate Numerical Expressions

In this worksheet, we will practice evaluating expressions with parentheses and the four operations.

**Q1: **

Calculate .

**Q2: **

Evaluate .

**Q3: **

What number belongs in the blank?

*Hint:* Think about the order that we do the operations.

**Q4: **

What number belongs in the blank?

*Think:* about the order that we do the operations.

- A7
- B9
- C
- D
- E8

**Q5: **

Evaluate .

**Q6: **

The operations are in the wrong order. Use the letters to list them in the correct order.

- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,

**Q7: **

Are these expressions equal?

- Ayes
- Bno

Are these expressions equal?

- Ano
- Byes

Fill in the blank: When I add parentheses to an expression, I willchange its value.

- Anever
- Balways
- Csometimes

**Q8: **

Which number makes the equation correct?

**Q9: **

Fill in the blank to make the equation correct: .

**Q10: **

Find the value of each expression.

.

.

.

**Q11: **

Fill in the blank: .

**Q12: **

What number belongs in the blank?

*Hint:* Think about the order that we do the operations.

**Q13: **

What number belongs in the blank?

*Hint:* Think about the order that we do the operations.

**Q14: **

Isabella wants to add 19 to 56 and then divide by 12.

She writes the expression . Does the expression need parentheses to make it correct? If yes, identify where they should appear.

- Ayes, around
- Bno

**Q15: **

Hannah said that .

Ethan said that .

Which calculation did Hannah do first?

- A
- B

Which operation did Ethan do first?

- Aaddition
- Bmultiplication

If there are multiple operations, we do not do them left to right. Instead, we do certain operations first. Knowing this, who is correct?

- AEthan
- BHannah

Write Hannah’s equation using parentheses to make it correct.

- A
- B
- C
- D

**Q16: **

Evaluate .

**Q17: **

Fill in the blank to make the equation correct: .

**Q18: **

Let us evaluate the expression in steps.

What expression do you get after you perform the first operation?

- A
- B
- C
- D
- E

What expression do you get after you perform the next operation?

- A
- B
- C
- D
- E

What answer do you get when you perform the final operation?

**Q19: **

David wants to find the number that is 11 times more than the difference between 21 and 13.

He writes the expression , which is incorrect. Which part should he put in parentheses to make it correct?

- A
- B

**Q20: **

Which number makes this equation correct?

.

- A5
- B1
- C7
- D3
- E4

**Q21: **

Evaluate .

**Q22: **

What number belongs in the blank?

*Hint:* Think about the order that we do the operations.

**Q23: **

Do these expressions have the same value?

- Ano
- Byes

**Q24: **

What number belongs in the blank?

*Hint*: Think about the order that we do the operations.

**Q25: **

Find the value of each expression.

.

.

.