Question 10 of 19beginner🔧 ApplyNumerical2 marks

How many multiples of 9 are there between the numbers 4300 and 4400?

Correct Answer

Step 1: Divide 4300 by 9: 4300 ÷ 9 ≈\approx 477.78

Step 2: First multiple ≥\geq 4300: 9×4789 \times 478 = 4302

Step 3: Divide 4400 by 9: 4400 ÷ 9 ≈\approx 488.89

Step 4: Last multiple < 4400: 9×4889 \times 488 = 4392

Step 5: Number of multiples = 488 - 478 + 1 = 11

Answer: There are 11 multiples of 9 between 4300 and 4400. The multiples are: 4302, 4311, 4320, 4329, 4338, 4347, 4356, 4365, 4374, 4383, 4392.

Exercise: Figure it Out (Section 2) | Q: 4 | (Page Page 15)
For More Understanding

Explanation

To find multiples of 9 between 4300 and 4400, divide both numbers by 9: 4300 ÷ 9 ≈\approx 477.78 and 4400 ÷ 9 ≈\approx 488.89. The first multiple of 9 ≥\geq 4300 is 9×4789 \times 478 = 4302. The last multiple of 9 < 4400 is 9×4889 \times 488 = 4392. The number of multiples is 488 - 478 + 1 = 11. The multiples are: 4302, 4311, 4320, 4329, 4338, 4347, 4356, 4365, 4374, 4383, 4392.

Solution Steps

  1. Step 1: Divide 4300 by 9: 4300 ÷ 9 = 477.78

  2. Step 2: First multiple ≥\geq 4300: 9×4789 \times 478 = 4302

  3. Step 3: Divide 4400 by 9: 4400 ÷ 9 = 488.89

  4. Step 4: Last multiple < 4400: 9×4889 \times 488 = 4392

  5. Step 5: Number of multiples = 488 - 478 + 1 = 11

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