Question 16 of 41beginner💡 UnderstandShort Answer1 mark

Can you tell which of these is the smallest and which is the largest? 0.2, 0.20, 0.200, 0.02, 0.002

Correct Answer

The smallest is 0.002 and the largest is 0.2 (which equals 0.20 and 0.200).

Step 1: Compare place values. 0.2 = 0.20 = 0.200 (all equal to 2 tenths)

Step 2: Evaluate 0.02. 0.02 = 2 hundredths

Step 3: Evaluate 0.002. 0.002 = 2 thousandths

Step 4: Arrange in order. 0.002 < 0.02 < 0.2

Conclusion: 0.002 < 0.02 < 0.2 = 0.20 = 0.200

Exercise: 3.6 Locating and Comparing Decimals | Q: 12 | (Page Page 25)
For More Understanding

Explanation

0.2, 0.20, and 0.200 are all equal as they represent 2 tenths. 0.02 represents 2 hundredths, which is smaller than 2 tenths. 0.002 represents 2 thousandths, which is the smallest. So 0.002 < 0.02 < 0.2 = 0.20 = 0.200.

Solution Steps

  1. Step 1: Compare place values: 0.2 = 0.20 = 0.200 (all equal to 2 tenths)

  2. Step 2: 0.02 = 2 hundredths = 0.02

  3. Step 3: 0.002 = 2 thousandths

  4. Step 4: Order: 0.002 < 0.02 < 0.2

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