Question 10 of 25beginner🔧 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 integers and their multiples 666×9666 \times 9 = 5994 667×9667 \times 9 = 6003

Step 3: Calculate distances from 6000 |6000 - 5994| = 6 |6003 - 6000| = 3

Step 4: Compare distances 3 < 6

∴ 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 discusses finding multiples of 9. To find the multiple of 9 closest to 6000, divide 6000 by 9: 6000 ÷ 9 = 666.67. The nearest integers are 666 and 667. Multiplying: 666×9666 \times 9 = 5994 and 667×9667 \times 9 = 6003. Distance from 6000: |6000 - 5994| = 6 and |6003 - 6000| = 3. Since 3 < 6, the closest multiple is 6003.

Solution Steps

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

  2. Step 2: Find multiples: 666×9666 \times 9 = 5994 and 667×9667 \times 9 = 6003

  3. Step 3: Calculate distances: |6000 - 5994| = 6, |6003 - 6000| = 3

  4. Step 4: Compare: 3 < 6, so 6003 is closer

  5. Step 5: Answer: 6003 is the multiple of 9 closest to 6000

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