# Free Integers 02 Practice Test - 7th grade

Replace the blank with an integer.

___ × (-13) = -143

#### SOLUTION

Solution :

Let x be the integer to be found.​

x×(13) = -143

x = 14313 = 11

Product of two integers can be:

A.

Positive

B.

Negative

C.

Zero

D.

Cannot say

#### SOLUTION

Solution : A, B, and C

A product of two integers can be positive or negative or zero.

Example:
5×6=30 or
5×(6)=30
5×(4)=20,
5×0=0

For any integer a, a ÷ 0 is

A.

a

B.

0

C.

Not defined

D.

1

#### SOLUTION

Solution : C

For any integer a, a ÷ 0 is not defined.
We know that, division is a repeated subtraction.
For example 15÷3 is
15-3 = 12
12-3 = 9
9-3 = 6
6-3 = 3
3-3 = 0
Therefore, 15÷3 = 5.

Similarly 15 ÷ 0 is
15 - 0 = 15
15 - 0 = 15
15 - 0 = 15
15 - 0 = 15  and so on ...
Therefore, division of an integer by 0 is not defined.

The value of 1 - 2 + 3 - 4 + 5 - 6 +........... + 19 - 20 is __________.

A.

20

B.

-20

C.

-10

D.

10

#### SOLUTION

Solution : C

Here,
(12)=(21)=1
(34)=(43)=1
.
.
(1920)=(2019)=1

There are 10 pairs having a value -1.

12+34+56 +...........+1920
= +10×(1)= 10  [x×(y)=xy]

If 'a' and 'b' are any two integers and a+(b+c) = (a+b)+c. The property used here is __.

#### SOLUTION

Solution :

If 'a' and 'b' are any two integers, then by associative property;

a+(b+c) = (a+b)+c

The pair of integers (a, b) such that a÷b = -4 is __________.

A.

(-2, 2)

B.

(8, -2)

C.

(-4, 2)

D.

(4, 1)

#### SOLUTION

Solution : B

2(2)=14 ​​​​​​​

8(2)=4 ​​​​​​​​​​​​​​

4(2)=24 ​​​​​​​​​​​​​​

4(1)=44 ​​​​​​​​​​​​​​

(8, -2) is the required pair.

Fill in the blank using greater or less to make the statement true.

8 -13 -15 is __  than -15 -39 + 6

#### SOLUTION

Solution :

LHS =
8+ (-13) - 15 = 8 + (-28) = -20
RHS =
-15 + (-39) + 6 = -54 + 6 = -48
-20  > -48

8+ (-13) - 15  is greater than -15 -39 + 6

The additive inverse of -55 is .

#### SOLUTION

Solution :

The additive inverse of a number 'x' is the number that, which when added to 'x' results in zero.

-55 + 55 = 0. Therefore, additive inverse of -55 is 55.

Subtract the sum of 883 and -479 from -76.

A.

1276

B.

328

C.

-480

D.

480

#### SOLUTION

Solution : C

Here,
Sum of 883 and -479

= 883 + (-479) = 883 - 479
= 404

Now, subtracting the sum from -76
= -76 - 404
= -480

If you add -6 to 7 and then subtract -8 from the result, what will be the answer?

A.

7

B.

-7

C.

9

D.

10

#### SOLUTION

Solution : C -6 + 7= 1

1 - (-8) = 1 + 8 = 9

Stand on -6 on the number line, then move 7 places to the right in order to add 7 to -6. You will reach 1.

Now, move 8 places to the right to subtract -8 from 1. You will reach 9 i.e.1-(-8) = 1 + 8 = 9