Number Properties – September 16, 2020
Properties of numbers – September 16, 2020

A number multiplied by itself gives a square number. mxm=m^{2}
Eg. 5 x 5 = 25. 25 is a square number

When a number is multiplied by its reciprocal the result is 1
Eg 5 x 1/5 = 1

A number multiplied by one gives the number itself. This is known as the identity property for multiplication. 6 x 1 = 6

Adding zero to a number gives the number itself. This is the identity property for addition. 8 + 0 = 8

A number raised to the power of zero is 1.
Eg. 5^{0}=1 8^{0}=1 13^{0}=1 therefore 4^{0} + 4 = 5

A number multiplied by zero is zero. Eg 6 x 0 = 0 or 5 x 3 x 0 = 0

When two numbers are added or multiplied together, the order is not important, the result is the same. This is known as the commutative property of numbers. Eg 5 + 3 = 3 + 5 or 6 + 7 = 7 + 6

When three numbers are added or multiplied together the grouping and ordering is not important. The result is the same. This is known as the associative property. Eg 3 + 4 + 5 = (3 + 4) + 5 or 3 + (4+5)

You can multiply the sum of two numbers by multiplying each addend separately then adding together the products of each multiplication. This is the distributive property. 3 x (4 + 5) = (3 x4) + (3 x 5)

BOMDAS Rule: BODMAS is an acronym and it stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. When a problem has more than one operation the order in which the operations are done is very important and is based on this rule.

Eg 5 x 3 + 2 = 17 and NOT 25 The multiplication is done before the addition.