Learn Class 7 Math - Integers

The term integer is a wide concept that includes various things, including the natural number and whole number.

Natural numbers are numbers that start from 1 and move on. In comparison, the whole numbers are the set of numbers that start from 0 and move on.

Properties of integers

The integer consists of various properties, including addition, subtraction, multiplication, and division.

1. The property of addition

  • The commutative property of addition is a + b = b + a.
  • The associative property of addition consists of three integers,i.e., (a + b) + c = a + (b + c).

2. The property of multiplication

  • The commutative property related to multiplication is a x b = b x a.
  • The multiplicative identity is a x 1 = 1 x a = a. This one is known as the multiplicative integer.
  • The multiplication by 0 always results in 0.

3. The property of division:

  • The property of division includes dividing the different sets of numbers,i.e., positive and negative numbers.
  • When a positive number gets divided by a positive number, the result will always come in a positive number.
  • When a negative number gets divided by a negative number, the result will always be a positive number.
  • And when a positive number gets divided by a negative number, the result will come in a negative number.

Integers Sample Questions for Class 7

Question 1

The difference between two integers is -101. One of the integer is -67, what is other integer?
A. -44
B. 34
C. -24
D. 54

Question 2

The difference between two intgers is -40, one of the integer is -76, what is other integer?
A. 30
B. -36
C. -116
D. 112

Question 3

What will be the sign of an answer, if we multiply 220 negative integers and 7 positive integers?
A. Negative
B. Positive
C. Cannot Say
D. None of the above

Question 4

What should be divided by - 7 to get quotient as -13?
A. 84
B. 91
C. -98
D. -105

Question 5

What is the product of (-152)÷ (-2) and (-132)÷11?
A. -890
B. -560
C. -625
D. -912