Question 11 of 31beginner🔧 ApplyNumerical2 marks

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

Correct Answer

Given: Find the multiple of 9 closest to 6000.

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

Step 2: Find the nearest multiples 666×9666 \times 9 = 5994 (difference from 6000: 6) 667×9667 \times 9 = 6003 (difference from 6000: 3)

Step 3: Compare the differences 3 < 6

Answer: ∴ The multiple of 9 closest to 6000 is 6003.

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

Explanation

The chapter explains divisibility by 9. To find the multiple of 9 closest to 6000, divide 6000 by 9: 6000 ÷ 9 = 666.67. The nearest multiples are 666×9666 \times 9 = 5994 and 667×9667 \times 9 = 6003. Since 6003 is only 3 away from 6000 while 5994 is 6 away, 6003 is closer.

Solution Steps

  1. 6000 ÷ 9 = 666.67

  2. 666×9666 \times 9 = 5994 (difference from 6000: 6)

  3. 667×9667 \times 9 = 6003 (difference from 6000: 3)

  4. 6003 is closer to 6000 than 5994

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