MCQ Questions for Class 6 Maths Integers

Answer: (c) 99

Explanation: An integer is a discrete /complete number or a number without any fraction . Integers can be negative or positive. So we can say that any number from 1,2,3,4…. Or from -1,-2,-3… all are integers.

So, in the present case,

the only discrete number or number without fraction is 99

Hence, the integer is 99.

Answer: 575

Explanation: The absolute value of an integer is the numerical value of the integer, regardless of its sign.

In present case,

-575 is written as | -575 | is equal to 575

|| sign is called the Mod sign. Mod is used to make the number positive, if the number is negative. The mod of positive number remains positive.

Hence, the absolute value will be 575

Answer: (a) -25737

Explanation: The successor of any number (including Integers ) will be the number which is 1 greater than the number, or comes after that number in number line

So, we have to add 1 to the integer to find its successor.

In present case,

-25738 + 1 = -25737

So, the successor the given number is -25737

Answer: (a) 8681

Explanation: The predecessor of any number (including integers) will be the number which is one lesser than the number, or comes before than that number in number line

So, we have to subtract 1 from the given integer to find its predecessor.

8682 – 1 = 8681

So, the predecessor the integer is 8681

Answer: (b) 57

Explanation: We know that positive integers are always greater than negative integers, no matter how bigger, the negative digit is from the positive integers

Amongst the two given integers, -33 is the negative integer, while 57 is the positive integer

So, the greater integer is 57.

Answer: (a) -7

Explanation: While adding two integers with the same sign, we add their values regardless of their signs, and give the sum, their common sign.

In present case,

First we add the values of the two integers, regardless of the negative sign: 2 + 5 = 7

Now we assign the common sign to the answer,

In present case the common sign is –

So, the sum of -2 and -5 is -7.

Answer: (c) -17

Explanation: In addition of two integers having different signs or in which one is positive and one is negative, we subtract them regardless of their signs, and give the sign of the integer with the greater value to it.

In present case,

First we find the difference to the given integers i.e., 52 – 35 = 17

Now, we would assign the sign of the greater integer to the result.

In this case, 52 > 35

and the sign of 52 is ( – )

Hence, the sum of -52 and 35 is -17.

Answer: (b) <

Explanation: If a < b

Then, (a + c) < (b + c) where, c is any integer.

In present case,

a = 25

b = 35

c = -12

Here, 25 < 35

So, 25 + -12 < 35 + -12

So, the correct answer is <

Alternative Method:

L.H.S: 25 + ( -12 )

= 25 – 12

= 13

R.H.S: 35 + ( -12 )

= 35 – 12

= 23

So, 13 < 23

Hence, 25 + -12 < 35 + -12

Answer: (b) -22

Explanation: In order to subtract a smaller integer from a larger integer, where both the integers are negative, we subtract the smaller integer from the higher integer, and give the negative sign to the difference.

In the present case, both – 64 and – 42 are negative.

Difference of the two integers, ignoring their signs :

= 64 – 42

= 22

Now, we assign negative sign to the result i.e., (-22)

Hence, ( -64 ) – ( -42 ) = (-22)

Answer: (b) 80

Explanation: When we subtract a negative integer from a positive integer then, we add the two numbers.

Since, 30 is positive and 50 is negative

We simply add the two Integers, ignoring their signs:

= 50 + 30

= 80 or +80

Hence, ( 30 ) – ( -50 ) = +80 or 80

Answer: (d) 504

Explanation: When we multiply more than two negative integers together the result is may be positive or negative integer, it depends on the number negative signs in a product. If there are odd numbers of negative sign in a product then the results will always a negative integer and if even number of negative sign in a product then results will always a positive integer.

Since, -3 , -4 , -6 and -7 are negative.

We simply multiply the integers, ignoring their signs:

3 x 4 x 6 x 7 = 504

Number of negative sign in the product = 4

Hence, there are even negative sign so we simply add the positive sign to the result i.e., + 504

Hence, ( -3 ) x ( -4 ) x ( -6 ) x ( -7 ) = + 504 or 504

Answer: (b) -48

Explanation: Multiplication of one positive and one negative integer will always results in negative integer. In order to multiply a positive integer and a negative integer, we simply multiply the two numbers, and add a negative sign to it.

Since, -8 is negative and 6 is positive.

We simply multiply the two integers, ignoring their signs:

8 x 6 = 48

and add a negative sign to the result – 48

Hence, -8 x 6 = -48

Answer: (b) 160

Explanation: If we multiply more than two positive integers, with each other simultaneously, the result is always a positive integer.

Since, 10 , 2 , 4 and 2 are positive integers.

We simply multiply the integers:

10 x 2 x 4 x 2 = 160

and add a positive sign to the result + 160

Hence, 10 x 2 x 4 x 2 = + 160.

Answer: (d) 1

Explanation: Multiplicative identity of an integer is ‘1’.

When we multiply any positive or negative integer by 1 the answer will be the same the integer only.

In generalize form, for any integer ‘a’

a x 1 = 1 x a = a

In the given equation, we have :

-20 x __ = -20

On comparing, generalized form and given equation we get:

a = -20

Using the equation, a x 1 = 1 x a = a

Hence, -20 x 1 = -20

So, the answer is 1

Answer: (c) 5

Explanation: Division of two negative integers is always a positive integer. In order to divide two negative integers we simply divide the two numbers, and add a positive sign to it.

Since, both -45 and -9 are negative.

We simply divide the two integers, ignoring their signs:

45 ÷ 9 = 5

Add the positive sign to result i.e, + 5

Hence, ( -45 ) ÷ ( -9 ) = + 5 or 5

Answer: (c) -8

Explanation: Division of unlike (positive and negative) integer is always a negative integer. In order to divide a positive integer by a negative integer or negative integer by a positive integer we always get a negative integer.

Since, ( 56 ) is positive and -7 is negative.

We simply divide the two integers, ignoring their signs:

( 56 ) ÷ 7 = 8

Add the negative sign to result i.e, – 8

Hence, ( 56 ) ÷ ( -7 ) = ( -8 )

Answer: (a) 72

Explanation: When any whole number is divided by 1 it gives the same whole number, similarly when an integer is divided by 1 it also gives back the same integer.

In generalize form, for any integer ‘a’

a ÷ 1 = a

Given equation:

72 ÷ 1 = ____

On comparing, generalize form and given equation we get:

a = 72

Using the equation a ÷ 1 = a

Hence, 72 ÷ 1 = 72

So, the answer is 72