Question 18 of 41beginner🔧 ApplyNumerical1 mark

Consider the decimal numbers 0.9, 1.1, 1.01, and 1.11. Identify the decimal number that is closest to 1.

Correct Answer

Step 1: Arrange in ascending order: 0.9 < 1 < 1.01 < 1.1 < 1.11

Step 2: Calculate distance from 1: Distance from 1 to 0.9 = 0.1 (10/100) Distance from 1 to 1.01 = 0.01 (1/100)

Step 3: Compare distances: 0.01 < 0.1

Step 4: Since 1/100 < 10/100, 1.01 is closest to 1.

Exercise: 3.6 Locating and Comparing Decimals | Q: 16 | (Page Page 28)
For More Understanding

Explanation

Arrange in ascending order: 0.9 < 1 < 1.01 < 1.1 < 1.11. The distance from 1 to 0.9 is 0.1 (10/100). The distance from 1 to 1.01 is 0.01 (1/100). Since 1/100 < 10/100, 1.01 is closest to 1.

Solution Steps

  1. Step 1: Arrange in order: 0.9 < 1 < 1.01 < 1.1 < 1.11

  2. Step 2: Calculate distance from 1: 0.9 is 0.1 away, 1.01 is 0.01 away

  3. Step 3: Compare distances: 0.01 < 0.1

  4. Step 4: 1.01 is closest to 1

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