Rounding Decimals Worksheets - Math Monks - Free Printable

Let’s solve each section step by step.

---

Section 1: Round to the Nearest Tenth

Rule: Look at the hundredths digit (second decimal place). If it’s 5 or more, round up the tenths digit. If less than 5, leave the tenths digit as is.

1) 8.326 → hundredths digit is 2 → less than 5 → 8.3
2) 6.998 → hundredths digit is 9 → 9 ≥ 5 → round up tenths digit (9 becomes 10) → carry over → 7.0
3) 9.83 → hundredths digit is 3 → less than 5 → 9.8
4) 51.711 → hundredths digit is 1 → less than 5 → 51.7
5) 687.817 → hundredths digit is 1 → less than 5 → 687.8
6) 19.07 → hundredths digit is 7 → 7 ≥ 5 → round up tenths digit (0 becomes 1) → 19.1
7) 432.080 → hundredths digit is 8 → 8 ≥ 5 → round up tenths digit (0 becomes 1) → 432.1
8) 483.37 → hundredths digit is 7 → 7 ≥ 5 → round up tenths digit (3 becomes 4) → 483.4
9) 59.42 → hundredths digit is 2 → less than 5 → 59.4

✔ Section 1 Answers:
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

---

Section 2: Round to the Nearest Hundredth

Rule: Look at the thousandths digit (third decimal place). If 5 or more, round up the hundredths digit. If less than 5, leave it.

1) 84.744 → thousandths digit is 4 → less than 5 → 84.74
2) 6.883 → thousandths digit is 3 → less than 5 → 6.88
3) 308.817 → thousandths digit is 7 → 7 ≥ 5 → round up hundredths digit (1 becomes 2) → 308.82
4) 66.663 → thousandths digit is 3 → less than 5 → 66.66
5) 399.839 → thousandths digit is 9 → 9 ≥ 5 → round up hundredths digit (3 becomes 4) → 399.84
6) 409.723 → thousandths digit is 3 → less than 5 → 409.72
7) 7.450 → thousandths digit is 0 → less than 5 → 7.45
8) 117.855 → thousandths digit is 5 → 5 ≥ 5 → round up hundredths digit (5 becomes 6) → 117.86
9) 66.935 → thousandths digit is 5 → 5 ≥ 5 → round up hundredths digit (3 becomes 4) → 66.94

✔ Section 2 Answers:
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

---

Section 3: Round to the Nearest Thousandth

Rule: Look at the ten-thousandths digit (fourth decimal place). If 5 or more, round up the thousandths digit. If less than 5, leave it.

1) 5.0016 → ten-thousandths digit is 6 → 6 ≥ 5 → round up thousandths digit (1 becomes 2) → 5.002
2) 6.1087 → ten-thousandths digit is 7 → 7 ≥ 5 → round up thousandths digit (8 becomes 9) → 6.109
3) 56.3008 → ten-thousandths digit is 8 → 8 ≥ 5 → round up thousandths digit (0 becomes 1) → 56.301
4) 106.7128 → ten-thousandths digit is 8 → 8 ≥ 5 → round up thousandths digit (2 becomes 3) → 106.713
5) 4.6687 → ten-thousandths digit is 7 → 7 ≥ 5 → round up thousandths digit (8 becomes 9) → 4.669
6) 49.9376 → ten-thousandths digit is 6 → 6 ≥ 5 → round up thousandths digit (7 becomes 8) → 49.938
7) 856.3981 → ten-thousandths digit is 1 → less than 5 → 856.398
8) 69.6009 → ten-thousandths digit is 9 → 9 ≥ 5 → round up thousandths digit (0 becomes 1) → 69.601
9) 73.7896 → ten-thousandths digit is 6 → 6 ≥ 5 → round up thousandths digit (9 becomes 10) → carry over → 73.790

✔ Section 3 Answers:
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

---

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