Question 12 of 31beginner🔧 ApplyNumerical2 marks

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

Correct Answer

Given: Find multiples of 9 between 4300 and 4400.

Step 1: Find the first multiple of 9 ≥\geq 4300 4300 ÷ 9 = 477.78 First multiple: 478×9478 \times 9 = 4302

Step 2: Find the last multiple of 9 ≤\leq 4400 4400 ÷ 9 = 488.89 Last multiple: 488×9488 \times 9 = 4392

Step 3: Count the number of multiples Number of multiples = 488 - 478 + 1 = 11

Answer: There are 11 multiples of 9 between 4300 and 4400.

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

Explanation

The chapter discusses multiples. To find multiples of 9 between 4300 and 4400: 4300 ÷ 9 = 477.78, so the first multiple is 478×9478 \times 9 = 4302. 4400 ÷ 9 = 488.89, so the last multiple is 488×9488 \times 9 = 4392. Number of multiples = 488 - 478 + 1 = 11.

Solution Steps

  1. 4300 ÷ 9 = 477.78, first multiple: 478×9478 \times 9 = 4302

  2. 4400 ÷ 9 = 488.89, last multiple: 488×9488 \times 9 = 4392

  3. Number of multiples = 488 - 478 + 1 = 11

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