Free Integers 02 Practice Test - 7th grade
Question 1
Replace the blank with an integer.
SOLUTION
Solution :Let x be the integer to be found.
x×(−13) = -143
x = −143−13 = 11
Question 2
Product of two integers can be:
Positive
Negative
Zero
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
Question 3
For any integer a, a ÷ 0 is
a
0
Not defined
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.
Question 4
The value of 1 - 2 + 3 - 4 + 5 - 6 +........... + 19 - 20 is __________.
20
-20
-10
10
SOLUTION
Solution : C
Here,
(1−2)=−(2−1)=−1
(3−4)=−(4−3)=−1
.
.
(19−20)=−(20−19)=−1.There are 10 pairs having a value -1.
∴1−2+3−4+5−6 +...........+19−20
= +10×(−1)= −10 [∵x×(−y)=−xy]
Question 5
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
Question 6
The pair of integers (a, b) such that a÷b = -4 is __________.
(-2, 2)
(8, -2)
(-4, 2)
(4, 1)
SOLUTION
Solution : B
−2(2)=−1≠−4
8(−2)=−4
−4(2)=−2≠−4
4(1)=4≠−4
∴ (8, -2) is the required pair.
Question 7
Fill in the blank using greater or less to make the statement true.
8 -13 -15 is
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
Question 8
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.
Question 9
Subtract the sum of 883 and -479 from -76.
1276
328
-480
480
SOLUTION
Solution : C
Here,
Sum of 883 and -479= 883 + (-479) = 883 - 479
= 404Now, subtracting the sum from -76
= -76 - 404
= -480
Question 10
If you add -6 to 7 and then subtract -8 from the result, what will be the answer?
7
-7
9
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
