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

Compare : (-22)+(31)+(-45) ______ (-2)×(-10)+3
A. >
B. <
C. =
D. None of the above

Question 2

The submarine is 10 m below the sea level, then it rises 25 m . What will be the current position of submarine from sea level?
A. 15 m above sea level
B. 15 m below sea level
C. 35 m below sea level
D. 35 m above sea level

Question 3

A person walks 100 m in North and then 45 m towards South and again 30 m towards North. What is the difference between initial position and current position?
A. 45 m towards South
B. 65 m towards South
C. 85 m towards North
D. 65 m towards North

Question 4

At Saturday temperature of Manali was -4°C , Sunday it rose by 2 °C and then Monday is fell by 3°C. What is the temperature on Monday and Sunday respectively?
A. -5°C, -2°C
B. -2°C, -7°C
C. -2°C, -5°C
D. -5°C, -7°C

Question 5

If 56 - (-34) + (-22) + k = -25, what is value of k?
A. -56
B. -93
C. 87
D. 90