Page 152 - New Medley 3 Semester 1

Property 2: 12 × 7 = 84. Also 7 × 12 = 84

13 × 9 = 117. Also 9 × 13 = 117

14 × 8 = 112. Also 8 × 14 = 112

We get the same product in both cases.

The product of two numbers is the same even if the

order of numbers is changed. So, we can interchange the
multiplier and multiplicand.

Let A and B be the two numbers then

A × B = B × A.

Property 3: 5 × 0 = 0 or 0 × 5 = 0

19 × 0 = 0 or 0 × 19 = 0

67 × 0 = 0 or 0 × 67 = 0

185 × 0 = 0 or 0 × 185 = 0

The product of a number and zero (0) is zero (0).

Let A be any number. Then

A × 0 = 0. Also 0 × A = 0.

Property 4: Let us multiply 19, 27 and 38.

We can multiply any two numbers at a time.

9 × 27 × 38 9 × 27 × 38

= (9 × 27) × 38 = 9 × (27 × 38)

= 243 × 38 = 9 × 1026

= 9234 = 9234

We get the same product in both cases.

The product of three numbers is the same even if the

grouping of the multiplying numbers is changed.

Let A, B and C be the three numbers then.

(A × B) × C = A × (B × C)

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