Question 25 of 25intermediate🔧 ApplyNumerical2 marks

Given that 207 × (−33 + 7) = −5382, write the value of −207 × (33 − 7) = ____.

Correct Answer

Given: 207 × (−33 + 7) = −5382

Step 1: Simplify −33 + 7 = −26

Step 2: So 207 × (−26) = −5382

Step 3: We need −207 × (33 − 7) = −207×26207 \times 26

Step 4: −207×26207 \times 26 = −(207×26207 \times 26)

Step 5: Since 207 × (−26) = −5382, we have −207×26207 \times 26 = −5382

Answer: −5382

Exercise: Figure it Out (Section 5) | Q: 14 | (Page Page 21)
For More Understanding

Explanation

The chapter explains the properties of integer multiplication. We have 207 × (−33 + 7) = −5382. Note that −33 + 7 = −26 and 33 − 7 = 26. So −207 × (33 − 7) = −207×26207 \times 26. Also, 207 × (−26) = −5382. Therefore, −207×26207 \times 26 = −5382. Alternatively, −207 × (33 − 7) = −207×26207 \times 26 = −(207×26207 \times 26) = −5382.

Solution Steps

  1. Step 1: Given: 207 × (−33 + 7) = −5382

  2. Step 2: Simplify: −33 + 7 = −26

  3. Step 3: So 207 × (−26) = −5382

  4. Step 4: We need: −207 × (33 − 7) = −207×26207 \times 26

  5. Step 5: −207×26207 \times 26 = −(207×26207 \times 26) = −(−5382 ÷ (−26) × 26)

  6. Step 6: Since 207 × (−26) = −5382, we have −207×26207 \times 26 = −5382

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