Number Properties – September 16, 2020

Properties of numbers – September 16, 2020

• A number multiplied by itself gives a square number. mxm=m2

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.  50=1     80=1      130=1  therefore 40 + 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.