Question 7 of 25beginner💡 UnderstandShort Answer2 marks

Try to frame a simple rule to multiply two integers.

Correct Answer

When multiplying two integers:

Step 1: Multiply the magnitudes (absolute values) of the two integers.

Step 2: Determine the sign: If both integers have the same sign (both positive or both negative), the product is positive. If the integers have different signs (one positive and one negative), the product is negative.

Exercise: Figure it Out (Section 2) | Q: 3 | (Page Page 8)
For More Understanding

Explanation

The chapter explains that the magnitude of the product depends only on the magnitudes of the multiplier and multiplicand. The sign of the product follows these rules: positive × positive = positive, negative × negative = positive, positive × negative = negative, and negative × positive = negative. This is also articulated in Brahmagupta's rules from his Brāhmasphuṭasiddhānta (628 CE).

Solution Steps

  1. Multiply the magnitudes (absolute values) of the two integers.

  2. Determine the sign: if both integers have the same sign, the product is positive; if they have different signs, the product is negative.

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