Question 14 of 44intermediate🔧 ApplyShort Answer2 marks

It can be seen in row 8 that 0 appears as the ones digit two times. × 8 gives 0 as the ones digit. What numbers can go in the box? Give 5 examples of such numbers.

Correct Answer

Numbers that give 0 as the ones digit when multiplied by 8 are multiples of 5.

Five examples: 5, 10, 15, 20, 25

Verification: 5×85 \times 8 = 40 10×810 \times 8 = 80 15×815 \times 8 = 120 20×820 \times 8 = 160 25×825 \times 8 = 200

All have 0 in the ones place.

Exercise: Multiplication Chart | Q: 12 | (Page Page 9)
For More Understanding

Explanation

The chapter shows that in row 8, 0 appears as the ones digit for products like 40 (5×85 \times 8) and 80 (10×810 \times 8). To get 0 in the ones place when multiplying by 8, we need to multiply 8 by a number ending in 5 or 0 (multiples of 5). This is because 8×58 \times 5 = 40 (ends in 0), and the pattern repeats every 5 numbers.

Solution Steps

  1. Step 1: Identify when × 8 gives ones digit 0

  2. Step 2: 5×85 \times 8 = 40 (ends in 0), 10×810 \times 8 = 80 (ends in 0)

  3. Step 3: Pattern: Numbers ending in 5 or 0 when multiplied by 8 give ones digit 0

  4. Step 4: Five examples: 5, 10, 15, 20, 25

  5. Step 5: Verify: 5×85 \times 8=40, 10×810 \times 8=80, 15×815 \times 8=120, 20×820 \times 8=160, 25×825 \times 8=200

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