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Explain associative property

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Explain associative property
  • 1 answers

Yogita Ingle 5 years, 8 months ago

The addition follows associative property i.e. regardless of how numbers are parenthesized the final sum of the numbers will be same. Associative property of addition states that:

(x+y)+z = x+(y+z)

Let us say, we want to add 5+10+4. It can be seen that the answer is 19. Now, let us group the numbers; put 5 and 10 in the bracket. We get,

⇒ (5+10)+4 = 15+4 = 19 

Rule for the associative property of multiplication is:

(xy) z = x (yz)

On solving 5×3×2, we get 30 as product. Now as in addition, let’s group the terms:

⇒ (5 × 3) × 2 = 15 × 2 = 30         (BODMAS rule)

After regrouping,

⇒ 5 × (3 × 2) = 5 × 6 = 30

 

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