Question 6 of 17beginner🔧 ApplyNumerical2 marks

Fill the digits 1, 3, and 7 in □□ × □ to make the largest product possible.

Correct Answer

Rule: To maximize the product, place the largest digit as the multiplier and arrange the remaining two digits in decreasing order to form the multiplicand.

Step 1: Identify the largest digit among 1, 3, 7 → 7

Step 2: Use 7 as the multiplier

Step 3: Arrange remaining digits 1, 3 in decreasing order → 31

Step 4: Form the product: 31×731 \times 7 = 217

Answer: 31×731 \times 7 = 217

Exercise: Figure it Out (Section 2) | Q: 1 | (Page Page 10)
For More Understanding

Explanation

The chapter establishes the rule: to maximize the product, place the largest digit as the multiplier and arrange the remaining two digits in decreasing order to form the multiplicand. Here, 7 is the largest digit (used as multiplier), and 31 is formed by arranging 3 and 1 in decreasing order.

Solution Steps

  1. Step 1: Identify the largest digit among 1, 3, 7 → 7

  2. Step 2: Use 7 as the multiplier

  3. Step 3: Arrange remaining digits 1, 3 in decreasing order → 31

  4. Step 4: Form the product: 31×731 \times 7 = 217

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