- A−1372
- B−1428
- C1372
- D−1398
Step-by-Step Solution
. The correction has to be ADDED, because you are subtracting a negative. Answering −1428 subtracts the 28 instead, and −1398 corrects by only 2 rather than by .
Answer: A) −1372
Rewrite (−14) × 98 as (−14) × (100 − 2) and evaluate it.
Class 7Integers (Extended)Integers
Key idea: Why distributive matters
The distributive property is your best friend for mental maths with integers. Example: compute (−7) × 102.
(−7) × 102 = (−7) × (100 + 2) = (−7)(100) + (−7)(2) = −700 + (−14) = −714.
Or (−13) × 99 = (−13)(100 − 1) = −1300 + 13 = −1287. Break the harder factor into a friendly sum or difference, distribute, then combine.
(−7) × 102 = (−7) × (100 + 2) = (−7)(100) + (−7)(2) = −700 + (−14) = −714.
Or (−13) × 99 = (−13)(100 − 1) = −1300 + 13 = −1287. Break the harder factor into a friendly sum or difference, distribute, then combine.
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