Question 8 of 19beginner🔧 ApplyNumerical2 marks

Find the multiple of 9 that is closest to the number 6000.

Correct Answer

Step 1: Divide 6000 by 9. 6000 ÷ 9 = 666.67

Step 2: Find the nearest multiples. 9×6669 \times 666 = 5994 9×6679 \times 667 = 6003

Step 3: Calculate the distance from 6000 to 5994. 6000 - 5994 = 6

Step 4: Calculate the distance from 6000 to 6003. 6003 - 6000 = 3

Step 5: Compare the distances. Since 3 < 6 ∴ The closest multiple is 6003.

Exercise: Figure it Out (Section 2) | Q: 3 | (Chapter: Page 15)
For More Understanding

Explanation

To find multiples of 9 near 6000, divide 6000 by 9: 6000 ÷ 9 = 666.67. The nearest integers are 666 and 667. The multiples are 9×6669 \times 666 = 5994 and 9×6679 \times 667 = 6003. The distance from 6000 to 5994 is 6, and the distance from 6000 to 6003 is 3. Since 3 < 6, the closest multiple of 9 to 6000 is 6003.

Solution Steps

  1. Step 1: Divide 6000 by 9: 6000 ÷ 9 = 666.67

  2. Step 2: The nearest multiples are 9×6669 \times 666 = 5994 and 9×6679 \times 667 = 6003

  3. Step 3: Distance from 6000 to 5994 = 6000 - 5994 = 6

  4. Step 4: Distance from 6000 to 6003 = 6003 - 6000 = 3

  5. Step 5: Since 3 < 6, the closest multiple is 6003

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