Question 4 of 37beginner🔧 ApplyNumerical2 marks

Find all multiples of 40 that lie between 310 and 410.

Correct Answer

Step 1: 40×740 \times 7 = 280 (less than 310)

Step 2: 40×840 \times 8 = 320 (between 310 and 410) ✓

Step 3: 40×940 \times 9 = 360 (between 310 and 410) ✓

Step 4: 40×1040 \times 10 = 400 (between 310 and 410) ✓

Step 5: 40×1140 \times 11 = 440 (greater than 410)

Answer: The multiples of 40 between 310 and 410 are 320, 360, and 400.

Exercise: Figure it Out (Section 2) | Q: 1 | (Chapter: Page 4)
For More Understanding

Explanation

To find multiples of 40 between 310 and 410, divide 310 by 40 to find the starting point. 310 ÷ 40 = 7.75, so the next multiple is 40×840 \times 8 = 320. Then 40×940 \times 9 = 360, and 40×1040 \times 10 = 400. The next multiple 40×1140 \times 11 = 440 exceeds 410.

Solution Steps

  1. Step 1: 40×740 \times 7 = 280 (less than 310)

  2. Step 2: 40×840 \times 8 = 320 (between 310 and 410) ✓

  3. Step 3: 40×940 \times 9 = 360 (between 310 and 410) ✓

  4. Step 4: 40×1040 \times 10 = 400 (between 310 and 410) ✓

  5. Step 5: 40×1140 \times 11 = 440 (greater than 410)

  6. Step 6: Multiples of 40 between 310 and 410 are: 320, 360, 400.

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