# 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?

• 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.

.

.

.