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Worksheet
Solved Examples and Worksheet for Evaluating Numerical Expressions
Q1
Which operation should be performed first to evaluate
4 + 6 ÷ 8 - 3 ?
A
. Subtraction
B
. Division
C
. Addition
D
. None of the above
Solutions
Share
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
Q2
Which operation would you perform first to evaluate
33 ÷ 5 ×
6
+
7
?
A
. Addition
B
. Division
C
. Multiplication
D
. Subtraction
Solutions
Share
Step: 1
Operation within the parentheses should be done first.
Step: 2
Addition should be done first.
Correct Answer is :
Addition
Q3
What is the value of the expression
17 -
2
×
6
?
A
. 6
B
. 8
C
. 5
D
. 7
Solutions
Share
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
Q4
What is the value of the expression below?
20 -
5
×
4
+ 4
A
. 4
B
. 2
C
. 1
D
. 3
Solutions
Share
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
Q5
Which operation do you perform first in the expression?
3 × 2 - 9
A
. Subtraction
B
. Addition
C
. none of these
D
. Multiplication
Solutions
Share
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
Q6
Simplify the expression
49 ÷
2
+
5
-
2
+
5
.
A
. 0
B
. - 1
C
. 1
D
. 2
Solutions
Share
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
Q7
Simplify:
3 × 5 - 12 ÷ 4 + 7
A
. 21
B
. 19
C
. 17
D
. 23
Solutions
Share
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
- (
12
4
) + 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
Q8
Simplify:
905 + 36 × 30 ÷ 6 - 5
A
. 1044
B
. 1074
C
. 1086
D
. 1080
Solutions
Share
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
Q9
Find the value of the expression
5 + 6 × 7
.
A
. 47
B
. 77
C
. 46
D
. 78
Solutions
Share
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
Q10
What is the value of the expression
41 -
4
×
8
?
A
. 13
B
. 5
C
. 9
D
. None of the above
Solutions
Share
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
Q11
Use 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
Share
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
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Related Topic
Order Of Operations
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