Question 46 of 47intermediate🔧 ApplyShort Answer2 marks

If 67×6767 \times 67 = 4489, without multiplication find 67×6867 \times 68.

Correct Answer

67×6867 \times 68 = 67×6767 \times 67 + 67 = 4489 + 67 = 4556. When one factor increases by 1, the product increases by the other factor.

Exercise: Let Us Think (Section 3) | Q: 5 | (Page Page 22)
For More Understanding

Explanation

Using the property that 67×6867 \times 68 = 67 × (67 + 1) = 67×6767 \times 67 + 67×167 \times 1 = 67×6767 \times 67 + 67. So we add 67 to 4489.

Solution Steps

  1. Step 1: Recognize that 68 = 67 + 1

  2. Step 2: 67×6867 \times 68 = 67 × (67 + 1) = 67×6767 \times 67 + 67

  3. Step 3: 67×6867 \times 68 = 4489 + 67 = 4556

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