Rounding Decimals Worksheets - Math Monks - Free Printable

Let’s go step by step to round each number correctly.

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Part 1: Round to the Nearest Tenth

The tenths place is the first digit after the decimal point. Look at the hundredths place (second digit after decimal) to decide whether to round up or stay.

1) 8.326 → Tenths = 3, Hundredths = 2 → 2 < 5 → stays → 8.3
2) 6.998 → Tenths = 9, Hundredths = 9 → 9 ≥ 5 → round up → 9 becomes 10 → carry over → 7.0
3) 9.83 → Tenths = 8, Hundredths = 3 → 3 < 5 → stays → 9.8
4) 51.711 → Tenths = 7, Hundredths = 1 → 1 < 5 → stays → 51.7
5) 687.817 → Tenths = 8, Hundredths = 1 → 1 < 5 → stays → 687.8
6) 19.07 → Tenths = 0, Hundredths = 7 → 7 ≥ 5 → round up → 0 becomes 1 → 19.1
7) 432.080 → Tenths = 0, Hundredths = 8 → 8 ≥ 5 → round up → 0 becomes 1 → 432.1
8) 483.37 → Tenths = 3, Hundredths = 7 → 7 ≥ 5 → round up → 3 becomes 4 → 483.4
9) 59.42 → Tenths = 4, Hundredths = 2 → 2 < 5 → stays → 59.4

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Part 2: Round to the Nearest Hundredth

Hundredths place is second digit after decimal. Look at thousandths place (third digit).

1) 84.744 → Hundredths = 4, Thousandths = 4 → 4 < 5 → stays → 84.74
2) 6.883 → Hundredths = 8, Thousandths = 3 → 3 < 5 → stays → 6.88
3) 308.817 → Hundredths = 1, Thousandths = 7 → 7 ≥ 5 → round up → 1 becomes 2 → 308.82
4) 66.663 → Hundredths = 6, Thousandths = 3 → 3 < 5 → stays → 66.66
5) 399.839 → Hundredths = 3, Thousandths = 9 → 9 ≥ 5 → round up → 3 becomes 4 → 399.84
6) 409.723 → Hundredths = 2, Thousandths = 3 → 3 < 5 → stays → 409.72
7) 7.450 → Hundredths = 5, Thousandths = 0 → 0 < 5 → stays → 7.45
8) 117.855 → Hundredths = 5, Thousandths = 5 → 5 ≥ 5 → round up → 5 becomes 6 → 117.86
9) 66.935 → Hundredths = 3, Thousandths = 5 → 5 ≥ 5 → round up → 3 becomes 4 → 66.94

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Part 3: Round to the Nearest Thousandth

Thousandths place is third digit after decimal. Look at ten-thousandths place (fourth digit).

1) 5.0016 → Thousandths = 1, Ten-thousandths = 6 → 6 ≥ 5 → round up → 1 becomes 2 → 5.002
2) 6.1087 → Thousandths = 8, Ten-thousandths = 7 → 7 ≥ 5 → round up → 8 becomes 9 → 6.109
3) 56.3008 → Thousandths = 0, Ten-thousandths = 8 → 8 ≥ 5 → round up → 0 becomes 1 → 56.301
4) 106.7128 → Thousandths = 2, Ten-thousandths = 8 → 8 ≥ 5 → round up → 2 becomes 3 → 106.713
5) 4.6687 → Thousandths = 8, Ten-thousandths = 7 → 7 ≥ 5 → round up → 8 becomes 9 → 4.669
6) 49.9376 → Thousandths = 7, Ten-thousandths = 6 → 6 ≥ 5 → round up → 7 becomes 8 → 49.938
7) 856.3981 → Thousandths = 8, Ten-thousandths = 1 → 1 < 5 → stays → 856.398
8) 69.6009 → Thousandths = 0, Ten-thousandths = 9 → 9 ≥ 5 → round up → 0 becomes 1 → 69.601
9) 73.7896 → Thousandths = 9, Ten-thousandths = 6 → 6 ≥ 5 → round up → 9 becomes 10 → carry over → 73.790 → 73.790

*(Note: We keep the trailing zero in 73.790 to show it’s rounded to the thousandths place.)*

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Final Answer:

Round to the Nearest Tenth:
1) 8.3
2) 7.0
3) 9.8
4) 51.7
5) 687.8
6) 19.1
7) 432.1
8) 483.4
9) 59.4

Round to the Nearest Hundredth:
1) 84.74
2) 6.88
3) 308.82
4) 66.66
5) 399.84
6) 409.72
7) 7.45
8) 117.86
9) 66.94

Round to the Nearest Thousandth:
1) 5.002
2) 6.109
3) 56.301
4) 106.713
5) 4.669
6) 49.938
7) 856.398
8) 69.601
9) 73.790