Arrange the following decimals from smallest to largest. 3.07, 3.7, 3.17, 3.071 Which of the following shows the correct order?
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Worked Solution
Step 1: Align all decimals to the same number of decimal places by appending zeros.
3.07 → 3.070
3.7 → 3.700
3.17 → 3.170
3.071 → 3.071
Step 2: Compare the ones digit — all are 3, so move to tenths.
Tenths digits: 0, 7, 1, 0 → 3.070 and 3.071 share the smallest tenths digit (0).
Step 3: Break the tie between 3.070 and 3.071 by comparing hundredths.
Both have 7 in the hundredths place. Move to thousandths: 3.070 has 0, 3.071 has 1.
So 3.070 < 3.071.
Step 4: Order the remaining decimals.
3.170 has tenths digit 1 (next after 0), then 3.700 has tenths digit 7 (largest).
Final order: 3.07 < 3.071 < 3.17 < 3.7
Correct answer: 3.07, 3.071, 3.17, 3.7
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