State whether the statement is True or False- 99 - 101 can be written as 100 - 1 - 100 - 1-

True ∵ 99 × 101 = 9999 and (100 1) × (100 + 1) = 100 × (100 +1) 1 × (100 + 1) = 100 × 100 + 1 × 100 1 × 100 1 × 1 [using distributive property] = 10000 ...

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Standard VII

Mathematics

Properties of Multiplication of Integers

State whether...

Question

Question 96

State whether the statement is True or False.

$99 \times 101$ can be written as $(100 - 1) \times (100 + 1) .$

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Solution

True
$∵ 99 \times 101 = 9999 a n d (100 - 1) \times (100 + 1) = 100 \times (100 + 1) - 1 \times (100 + 1) = 100 \times 100 + 1 \times 100 - 1 \times 100 - 1 \times 1 [u s i n g d i s t r i b u t i v e p r o p e r t y] = 10000 + 100 - 100 - 1 = 9999$

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Properties of Multiplication of Integers

Standard VII Mathematics

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Question 96 State whether the statement is True or False. 99×101 can be written as (100−1)×(100+1).

True ∵ 99×101=9999and (100−1)×(100+1)=100×(100+1)−1×(100+1)=100×100+1×100−1×100−1×1 [using distributive property]=10000+100−100−1=9999

Question 96

State whether the statement is True or False.

$99 \times 101$ can be written as $(100 - 1) \times (100 + 1) .$

True
$∵ 99 \times 101 = 9999 a n d (100 - 1) \times (100 + 1) = 100 \times (100 + 1) - 1 \times (100 + 1) = 100 \times 100 + 1 \times 100 - 1 \times 100 - 1 \times 1 [u s i n g d i s t r i b u t i v e p r o p e r t y] = 10000 + 100 - 100 - 1 = 9999$