Class 7 Maths: Integers Olympiad Questions

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.