Solved Examples and Worksheet for Simplify Numerical Expressions

Q1What is the value of the expression 17 - (2 × 6)?

A. 6
B. 8
C. 5
D. 7

Solutions
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Step: 1
The order of operation for the expression is, operation within grouping symbols first and then subtraction, from left to right.
Step: 2
17 - (2 × 6)
  [Original expression.]
Step: 3
= 17 - 12
  [Multiply 2 and 6.]
Step: 4
= 5
  [Subtract 12 from 17.]
Step: 5
The value of the expression is 5.
Correct Answer is :   5
Q2What is the value of the expression below?
20 - (5 × 4) + 4
A. 4
B. 2
C. 1
D. 3

Solutions
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Step: 1
The order of operation for the expression is, operation within grouping symbol first, addition next and then subtraction, from left to right.
Step: 2
20 - (5 × 4) + 4
  [Original expression.]
Step: 3
= 20 - 20 + 4
  [Do the operation within the grouping symbol.]
Step: 4
= 24 - 20
  [Add 20 and 4.]
Step: 5
= 4
  [Subtract 20 from 24.]
Step: 6
The value of the expression is 4.
Correct Answer is :   4
Q3Simplify the expression 49 ÷ (2 + 5) - (2 + 5).

A. 0
B. - 1
C. 1
D. 2

Solutions
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Step: 1
49 ÷ (2 + 5) - (2 + 5)
  [Original Expression.]
Step: 2
= 49 ÷ 7 - 7
  [Add within the parentheses from left to right.]
Step: 3
= 7 - 7
  [Divide.]
Step: 4
= 0
  [Subtract.]
Step: 5
The value of the expression is 0.
Correct Answer is :   0
Q4Simplify: 1152 ÷ [416 - (16 × 8)]

A. 7
B. 4
C. 5
D. 6

Solutions
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Step: 1
The order of operation for the expression is working inside the round braces first, working inside the square braces next and then division.
Step: 2
1152 ÷ [416 - (16 × 8)]
  [Original expression.]
Step: 3
= 1152 ÷ [416 - 128]
  [Multiply 16 by 8 inside the grouping symbols.]
Step: 4
= 1152 ÷ 288
  [Subtract inside the grouping symbols.]
Step: 5
= 4
  [Divide.]
Correct Answer is :   4
Q5Simplify: (96 - 48) × (192 - 48) + 96 ÷ 6

A. 6922
B. 6928
C. 6934
D. 6880

Solutions
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Step: 1
The order of operation for the expression is working inside the braces first, division and multiplication next and then addition, in order from left to right.
Step: 2
(96 - 48) × (192 - 48) + 96 ÷ 6
  [Original expression.]
Step: 3
= 48 × 144 + 96 ÷ 6
  [Subtract inside the braces.]
Step: 4
= 48 × 144 + 16
  [Divide 96 by 6.]
Step: 5
= 6912 + 16
  [Multiply 48 with 144.]
Step: 6
= 6928
  [Add.]
Correct Answer is :   6928
Q6What is the value of the expression (20 + 5) - 5 ÷ 5?

A. 26
B. 24
C. 23
D. 25

Solutions
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Step: 1
The order of operation for the expression is working inside the braces first, division next and then subtraction, in order from left to right.
Step: 2
(20 + 5) - 5 ÷ 5
  [Original expression.]
Step: 3
= 25 - 5 ÷ 5
  [Work inside the grouping symbols.]
Step: 4
= 25 - 1
  [Divide 5 by 5.]
Step: 5
= 24
  [Subtract.]
Step: 6
The value of the expression is 24.
Correct Answer is :   24
Q7What is the value of the expression?
8 × [16 + (8 - 4)]

A. 160
B. 164
C. 156
D. 168

Solutions
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Step: 1
8 × [16 + (8 - 4)]
  [Original expression.]
Step: 2
= 8 × (16 + 4)
  [Simplify the terms in the round brackets.]
Step: 3
= 8 × 20
  [Simplify.]
Step: 4
= 160
  [Multiply.]
Correct Answer is :   160
Q8What is the value of the expression shown?
8 + 32 ÷ 8 × 4 - 2

A. 18
B. 22
C. 20
D. 24

Solutions
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Step: 1
The order of operation for the expression is division first, multiplication next, followed by addition, and then subtraction, in order from left to right.
Step: 2
8 + 32 ÷ 8 × 4 - 2
  [Original expression.]
Step: 3
= 8 + 4 × 4 - 2
  [Divide 32 by 8.]
Step: 4
= 8 + 16 - 2
  [Multiply 4 and 4.]
Step: 5
= 24 - 2
  [Add 8 and 16.]
Step: 6
= 22
  [Subtract 2 from 24.]
Step: 7
The value of the expression is 22.
Correct Answer is :   22
Q9What is the value of the expression?
216 ÷ [12 + (16 - (12 ÷ 3))]
A. 9
B. 8
C. 11
D. 10

Solutions
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Step: 1
The order of operation for the expression is working inside the round braces first and then square braces, followed by division, in order from left to right.
Step: 2
216 ÷ [12 + (16 - (12 ÷ 3))]
  [Original expression.]
Step: 3
= 216 ÷ [12 + (16 - 4)]
  [Divide 12 by 3 in the round braces.]
Step: 4
= 216 ÷ [12 + 12]
  [Subtract 4 from 16.]
Step: 5
= 216 ÷ 24
  [Add 12 to 12 in the square braces.]
Step: 6
= 9
  [Divide 216 by 24.]
Step: 7
The value of the expression is 9.
Correct Answer is :   9
Q10What is the value of the expression 41 - (4 × 8) ?
A. 13
B. 5
C. 9
D. None of the above

Solutions
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Step: 1
The order of operation for the expression is, operation within grouping symbol first and then subtraction, from left to right.
Step: 2
41 - (4 × 8)
  [Original expression.]
Step: 3
= 41 - 32
  [Multiply 4 and 8.]
Step: 4
= 9
  [Simplify.]
Step: 5
The value of the expression is 9.
Correct Answer is :   9

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