Evaluating Numerical Expressions-Gr 6-Solved Examples

Solved Examples and Worksheet for Evaluating Numerical Expressions

Q1Which operation should be performed first to evaluate 4 + 6 ÷ 8 - 3 ?

A. Subtraction
B. Division
C. Addition
D. None of the above

Solutions

Step: 1

Among division, addition and subtraction, division has the highest priority.

Step: 2

Division should be performed first to evaluate the expression.

Correct Answer is : Division

Q2Which operation would you perform first to evaluate 33 ÷ 5 ×

$6 + 7$ ?
A. Addition
B. Division
C. Multiplication
D. Subtraction

Solutions

Step: 1

Operation within the parentheses should be done first.

Step: 2

Addition should be done first.

Correct Answer is : Addition

Q3What is the value of the expression 17 -

$2 × 6$ ?

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

Solutions

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

Q4What is the value of the expression below?
20 -

$5 × 4$ + 4
A. 4
B. 2
C. 1
D. 3

Solutions

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

Q5Which operation do you perform first in the expression?
3 × 2 - 9

A. Subtraction
B. Addition
C. none of these
D. Multiplication

Solutions

Step: 1

The expression has two operations, multiplication and subtraction.

Step: 2

Of these two, multiplication has a higher priority.

Step: 3

Multiplication is performed first in the expression.

Correct Answer is : Multiplication

Q6Simplify the expression 49 ÷

$2 + 5$ -

$2 + 5$ .

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

Solutions

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

Q7Simplify:
3 × 5 - 12 ÷ 4 + 7
A. 21
B. 19
C. 17
D. 23

Solutions

Step: 1

The order of operation for the expression is division first, multiplication next and then addition and subtraction, in the order from left to right.

Step: 2

3 × 5 - 12 ÷ 4 + 7

[Original expression.]

Step: 3

$3 × 5$ - (

$124$ ) + 7

[Group the operations in order.]

Step: 4

= 15 - 3 + 7

[Work inside the grouping symbols.]

Step: 5

= 12 + 7

[Subtract 3 from 15.]

Step: 6

= 19

[Add.]

Correct Answer is : 19

Q8Simplify:
905 + 36 × 30 ÷ 6 - 5

A. 1044
B. 1074
C. 1086
D. 1080

Solutions

Step: 1

The order of operation for the expression is division first, multiplication next and then addition and subtraction, in the order from left to right.

Step: 2

905 + 36 × 30 ÷ 6 - 5

[Original expression.]

Step: 3

= 905 + 36 ×

$30 ÷ 6$ - 5

[Group the operation in order.]

Step: 4

= 905 + 36 × 5 - 5

[Divide inside the grouping symbols.]

Step: 5

= 905 +

$36 × 5$ - 5

[Group the operation in order.]

Step: 6

= 905 + 180 - 5

[Multiply inside the grouping symbols.]

Step: 7

= 1085 - 5

[Add 905 to 180.]

Step: 8

= 1080

[Subtract.]

Correct Answer is : 1080

Q9Find the value of the expression 5 + 6 × 7.
A. 47
B. 77
C. 46
D. 78

Solutions

Step: 1

The order of operation for the expression is, multiplication first and then addition.

Step: 2

5 + 6 × 7

[Original expression.]

Step: 3

= 5 + 42

[Multiply.]

Step: 4

= 47

[Add.]

Correct Answer is : 47

Q10What is the value of the expression 41 -

$4 × 8$ ?
A. 13
B. 5
C. 9
D. None of the above

Solutions

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

Q11Use the order of operations to find the values of the following expressions.
13 + 7 × 2 + 10 =
A. 50
B. 240
C. 136
D. 97
E. 37

Solutions

Step: 1

13 + 7 × 2 + 10

[Original numerical expression.]

Step: 2

= 13 +

$7 × 2$ + 10

Step: 3

= 13 + 14 + 10

[Multiply 7 and 2.]

Step: 4

= 37

[Add.]

Correct Answer is : 37

Solved Examples and Worksheet for Evaluating Numerical Expressions

Related Worksheet

Related Topic

HighSchool Math