Worksheet: Evaluating Numerical Expressions Involving Exponents Using Order of Operations

In this worksheet, we will practice evaluating numerical expressions involving exponents using the order of operations.

Q1:

Evaluate 1 2 3 2 .

Q2:

Evaluate ( 2 + 2 ) 2 + 2 ÷ 2 .

Q3:

Calculate 6 × 8 ( 3 2 . 6 ) + 3 . 4 .

Q4:

Analyse the statement ( 1 9 + 2 6 ) × 9 = 1 9 + 2 6 × 9 , and then state whether it is true or false.

  • Afalse
  • Btrue

Q5:

Calculate the following: 9 × 7 + 5 × 3 .

Q6:

Calculate 9 4 5 × 1 0 + 6 9 .

Q7:

Calculate 4 7 + 5 × 8 ( 2 × 3 ) .

Q8:

Evaluate 6 [ ( 1 2 3 ) 2 ] + 6 .

Q9:

Calculate the following: 9 6 ÷ ( 1 9 1 3 ) × 4 .

Q10:

What is the value of 3 × 3 6 ÷ 3 × 7 + 8 2 ?

Q11:

Calculate the following: 9 × 7 + 8 8 .

Q12:

Calculate ( 5 + 1 0 ) ÷ 5 .

Q13:

Calculate the following: 5 6 ÷ ( 5 + 3 ) + 2 .

Q14:

Calculate 4 ( 9 ÷ 3 ) + 1 5 .

Q15:

Calculate 8 + 1 ( 2 7 2 3 ) .

Q16:

Evaluate 6 2 × 2 .

Q17:

Evaluate 6 ÷ 9 + 9 × 8 .

Q18:

Calculate 4 × 2 + 3 5 .

Q19:

Calculate 5 × 2 + 3 .

Q20:

Evaluate 6 ( 6 ) + 2 7 ÷ 3 .

Q21:

Calculate 4 ÷ 3 × 4 .

  • A 1 3
  • B 4 3
  • C 1 6 3
  • D 6 4 3

Q22:

Calculate 3 0 + ( 6 ÷ 3 ) + 2 1 × 2 .

Q23:

Rewrite the equation 9 + 1 5 ÷ 3 × 1 0 = 8 0 using parentheses to make it correct.

  • A 9 + ( 1 5 ÷ 3 ) × 1 0 = 8 0
  • B 9 + 1 5 ÷ ( 3 × 1 0 ) = 8 0
  • C ( 9 + 1 5 ) ÷ ( 3 × 1 0 ) = 8 0
  • D ( 9 + 1 5 ) ÷ 3 × 1 0 = 8 0

Q24:

Calculate 1 6 × 5 ÷ [ 3 4 ( 3 5 9 ) ] .

Q25:

Are these expressions equal?

  • A no
  • B yes

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