Question 9 of 25beginner🔧 ApplyFill in the Blanks3 marks

Observe the following pairs of multiplications (fill in the blanks where needed): | 3 × −4 = −12 | −4×34 \times 3 = −12 | | −30×1230 \times 12 = ___ | 12 × −30 = ___ | | −15 × −8 = 120 | −8 × −15 = 120 | | 14 × −5 = −70 | −5 × ___ = −70 |

Correct Answer

−30×1230 \times 12 = −360, 12 × −30 = −360, −5×145 \times 14 = −70

Exercise: Commutative Property | Q: 1 | (Page Page 11)
For More Understanding

Explanation

The chapter explains that multiplication is commutative for integers. This means that a × b = b × a for any two integers a and b. The magnitude of the product does not change when the multiplier and multiplicand are swapped, and the sign also remains the same.

Solution Steps

  1. Step 1: −30×1230 \times 12: One negative factor → product negative. 30×1230 \times 12 = 360. Answer: −360

  2. Step 2: 12 × −30: Same factors, just swapped → same product. Answer: −360

  3. Step 3: −5 × ___ = −70: We need −5×145 \times 14 = −70 (since 14 × −5 = −70, by commutativity −5×145 \times 14 = −70)

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