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Numbers and Operations Worksheets

Numbers and Operations Worksheets
  • Page 1
 1.  
Use the symbol < or > or =, to show the relationship between - 7, - 64
a.
- 7 > - 8
b.
- 7 < - 8
c.
- 7 = - 8


Solution:

We know - 64 = - 8

So, - 7 > - 8


Correct answer : (1)
 2.  
Name the property of the statement: - 11 + 11 = 0
a.
Identity property of addition
b.
Closure property of addition
c.
Inverse property of addition
d.
None of these


Solution:

For every real number a, there is a unique additive inverse - a, such that a + (- a) = 0 and (- a) + a = 0

So, it is the inverse property of addition.


Correct answer : (3)
 3.  
Determine whether the associative property satisfied under the division operation.
a.
No
b.
Yes


Solution:

(a ÷ b) ÷ c = abc1 = abc

a ÷ (b ÷ c) = abc = acb

abcacb

So, (a ÷ b) ÷ ca ÷ (b ÷ c)

Associative property is not satisfied under the division operation.


Correct answer : (1)
 4.  
Name the property of the statement: 17 · (14 · 9) = (17 · 14) · 9
a.
Associative property of multiplication
b.
Commutative property of multiplication
c.
Distributive property of multiplication
d.
Closure property of multiplication


Solution:

a · (b · c) = (a · b) · c for all real numbers a, b and c, indicates the associative property of multiplication.


Correct answer : (1)
 5.  
If a scooter travels 216 km on 6 liters of petrol, how many kilometers will it travel on 10 liters of petrol?
a.
324 km
b.
360 km
c.
288 km
d.
396 km


Solution:

On 6 liters of petrol, the scooter travels 216 km.

On 1 liter of petrol, it travels 216 / 6 km

On 10 liters of petrol, it travels 216 / 6 × 10 km

= 36 × 10 km

= 360 km


Correct answer : (2)
 6.  
Find the additive inverse of 2- 3.
a.
32
b.
23
c.
- 32
d.
- 23


Solution:

2- 3 = - 23

For every real number ‘x’, there is unique additive inverse ‘- x’.

So, additive inverse of 2- 3 is - ( - 23) = 23


Correct answer : (2)
 7.  
Find the multiplicative inverse of - 87.
a.
78
b.
87
c.
- 78
d.
- 87


Solution:

The multiplicative inverse of a non-zero real number is it’s reciprocal.

The reciprocal of - 87 is - 78.


Correct answer : (3)
 8.  
Divide: - 12 ÷ (2)
a.
- 6
b.
16
c.
5
d.
- 16


Solution:

To divide real numbers, multiply by the multiplicative inverse of the divisor.

- 12 ÷ 2

Multiplicative inverse of 2 is 1 / 2.

(- 12) ÷ 2 = (- 12) × 12 = - 6
[Simplify.]


Correct answer : (1)
 9.  
Divide: - 192 ÷ (- 12)
a.
- 116
b.
16
c.
116
d.
- 12


Solution:

To divide real numbers, multiply by the multiplicative inverse of the divisor.

- 192 ÷ (- 12)

Multiplicative inverse of - 12 is - 1 / 12.

- 192 ÷ (- 12) = (- 192) × (- 1 / 12) = 16
[Simplify.]


Correct answer : (2)
 10.  
Simplify: 7 | 14 - 24 |
a.
- 90
b.
65
c.
- 80
d.
70


Solution:

7 | 14 - 24 |

= 7 | 14 + (- 24) |
[Add the additive inverse.]

= 7 (10)
[| - 10 | = 10.]

= 70
[Multiply.]


Correct answer : (4)

More Numbers and Operations Worksheets
Addition Worksheet Addition and Subtraction Worksheet
Division Worksheet
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