Worksheet: Order of Operations: Evaluate Numerical Expressions

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

Q1:

Calculate 15÷(5÷3).

Q2:

Evaluate 9+7(1256÷7).

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
  • C113
  • D1223
  • E8

Q5:

Evaluate 3×(1+4).

Q6:

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

  • AC, A, B, D
  • BD, B, A, C
  • CA, C, B, D
  • DC, A, D, B
  • EA, C, D, B

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 (8+)×4=36 correct?

Q9:

Fill in the blank to make the equation correct: (82)×=30.

Q10:

Find the value of each expression.

(8+4)÷21=.

8+4÷(21)=.

8+4÷21=.

Q11:

Fill in the blank: (102)÷=4.

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 19+56÷12. Does the expression need parentheses () to make it correct? If yes, identify where they should appear.

  • Ayes, around 19+56
  • Bno

Q15:

Hannah said that 8+2×5=50.

Ethan said that 8+2×5=18.

Which calculation did Hannah do first?

  • A8+2
  • B2×5

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(8+2)×5=50
  • B8+(2×5)=50
  • C(8+2)×5=18
  • D8+(2×5)=18

Q16:

Evaluate (123)×(32÷9).

Q17:

Fill in the blank to make the equation correct: (6+2)×3=×(52).

Q18:

Let us evaluate the expression 3×(4+5)3 in steps.

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

  • A15+43
  • B3×93
  • C12+53
  • D3×4+5
  • E3×4+2

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

  • A12+5
  • B273
  • C173
  • D193
  • E12+2

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 11×2113, which is incorrect. Which part should he put in parentheses () to make it correct?

  • A2113
  • B11×21

Q20:

Which number makes this equation correct?

(73)÷4=÷(1+3).

  • A5
  • B1
  • C7
  • D3
  • E4

Q21:

Evaluate (6+8)÷7.

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.

(2+8)7+9=.

2+87+9=.

2+(87)+9=.

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