Sure! Let’s solve each problem step by step. The goal is to
round each decimal to the nearest thousandth.
---
🔢 What does “nearest thousandth” mean?
The
thousandth place is the
third digit to the right of the decimal point.
- Example: In 37.5816, the digits are:
- Tenths: 5
- Hundredths: 8
-
Thousandths: 1
- Ten-thousandths: 6 ← this is the digit we look at to decide whether to round up or down.
📏 Rounding Rule:
Look at the digit
immediately after the thousandth place (i.e., the
ten-thousandths place):
- If it’s
5 or greater, round
up the thousandths digit.
- If it’s
4 or less, leave the thousandths digit
unchanged.
---
##
✔ Solutions:
---
1) 37.5816
→ Thousandths digit:
1
→ Next digit (ten-thousandths):
6 → ≥5 →
Round up
→ 37.581 + 0.001 =
37.582
✔ Answer: 37.582
---
2) 1.06755
→ Thousandths digit:
7
→ Next digit:
5 → ≥5 →
Round up
→ 1.067 + 0.001 =
1.068
✔ Answer: 1.068
---
3) 22.64735
→ Thousandths digit:
7
→ Next digit:
3 → <5 →
Keep as is
→
22.647
✔ Answer: 22.647
---
4) 7.1424
→ Thousandths digit:
2
→ Next digit:
4 → <5 →
Keep as is
→
7.142
✔ Answer: 7.142
---
5) 5.8109
→ Thousandths digit:
0
→ Next digit:
9 → ≥5 →
Round up
→ 5.810 + 0.001 =
5.811
✔ Answer: 5.811
---
6) 43.21867
→ Thousandths digit:
8
→ Next digit:
6 → ≥5 →
Round up
→ 43.218 + 0.001 =
43.219
✔ Answer: 43.219
---
7) 9.37826
→ Thousandths digit:
8
→ Next digit:
2 → <5 →
Keep as is
→
9.378
✔ Answer: 9.378
---
8) 85.0041
→ Thousandths digit:
4
→ Next digit:
1 → <5 →
Keep as is
→
85.004
✔ Answer: 85.004
---
9) 10.2597
→ Thousandths digit:
9
→ Next digit:
7 → ≥5 →
Round up
→ 10.259 + 0.001 =
10.260
✔ Answer: 10.260
*(Note: We keep the trailing zero to show we rounded to the thousandth place.)*
---
10) 2.75483
→ Thousandths digit:
4
→ Next digit:
8 → ≥5 →
Round up
→ 2.754 + 0.001 =
2.755
✔ Answer: 2.755
---
11) 79.19601
→ Thousandths digit:
6
→ Next digit:
0 → <5 →
Keep as is
→
79.196
✔ Answer: 79.196
---
12) 6.6532
→ Thousandths digit:
3
→ Next digit:
2 → <5 →
Keep as is
→
6.653
✔ Answer: 6.653
---
13) Simon needs help with 8.6028
→ Thousandths digit:
2
→ Next digit:
8 → ≥5 →
Round up
→ 8.602 + 0.001 =
8.603
✔ Answer: 8.603
---
14) Area of a circle is 47.75025 square feet
→ Thousandths digit:
0
→ Next digit:
2 → <5 →
Keep as is
→
47.750
✔ Answer: 47.750
*(Again, we keep the trailing zero to indicate precision to the thousandth place.)*
---
## 🎯 Final Answers Summary:
1)
37.582
2)
1.068
3)
22.647
4)
7.142
5)
5.811
6)
43.219
7)
9.378
8)
85.004
9)
10.260
10)
2.755
11)
79.196
12)
6.653
13)
8.603
14)
47.750
---
Let me know if you’d like a printable version or further explanation! 😊
Parent Tip: Review the logic above to help your child master the concept of rounding decimals worksheet printable.
