# Free Integers 01 Practice Test - 7th grade

Which of the following statement is false?

A.

7+(6)=13

B. 5+1=4
C.

2+(1)=1

D. 8+(9)=1

#### SOLUTION

Solution : B

Here,
76=13,
5+1=4,
21=1,
89=1
The second statement is false.

Predecessor of 9 is:

A.

8

B.

9

C.

10

D.

10

#### SOLUTION

Solution : C

The predecessor of a number is found by subtracting 1 from it.

Therefore, predecessor of 9 is given as,

91=10

The reciprocal of 16 is -16

A.

True

B.

False

#### SOLUTION

Solution : B

The reciprocal of 16 is 6

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

#### SOLUTION

Solution :

If 'a' and 'b' are any two integers, by distributive property of multiplication over addition,

a × (b + c) = (a × b) + (a × c)

Use the sign of >, < or = in the blank to make the statement true.

(-4 × 2) + 10 __  (6 - 7) × -2

#### SOLUTION

Solution :

RHS = (-4 × 2) + 10 = 2

LHS = (6 - 7) × -2 = 2

(-4 × 2) + 10 = (6 - 7) × -2

Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

(iii) The absolute value of an integer is always greater than the integer.

(iv) Every negative integer is less than any natural number.

A.

i, iii, iv

B.

i, iv

C.

ii, iv

D.

Only iv

#### SOLUTION

Solution : D

(i) All the negative integers are less than 0.

(ii) Multiplicative identity for integers is same as that of  whole numbers i.e., 1.

(iii) Absolute value of a non-negative integer is equal to the integer itself and the absolute value of a negative integer is always greater than the integer.

E.g. absolute value of 6 is 6; absolute value of - 6 is 6.

(iv) Every negative integer is less than any natural number.

The multiplicative identity for integers is

___.
A.

1

B. First whole number
C. First natural number
D. -1

#### SOLUTION

Solution : A and C

Any integer multiplied by '1' results in the same integer. So, the multiplicative identity for integers is 1.
1 is also the first natural number so we can say that even the first natural number is also a multiplicative identity for integers.

If the lowest temperature in Gulmarg in Kashmir was 10C in January and in summer the temperature rose by 43C and reached the maximum temperature, what was the maximum temperature that year?

A.

43C

B.

33C

C.

53C

D.

33C

#### SOLUTION

Solution : D

Here,
Lowest temperature=10C          Temperature rise=43CMaximum temperature=(10+43)                                        =33C

The maximum temperature is 33C.

-1 says:  "Zero is smaller than me, I am the king!!!”  Is this statement given by -1 true or false?

A.

True

B.

False

#### SOLUTION

Solution : B

Since the number 0 is to the right of -1 on the number line, 0 is larger than -1. So, the statement is FALSE.

(-1) x (-1) x (-1) x (-1) x ... 80 times = ___

#### SOLUTION

Solution :

When even number of negative integers are multiplied, the product will be a positive integer.

(-1) x (-1) x (-1) x (-1) x ... 80 times

= (-1 ... 80 times)[1 x 1 x 1 x 1 x ... 80 times]

= (+) (1 x 1 x 1 x 1 x ... 80 times)

= 1 x 1 x 1 x 1 x ... 80 times
= 1