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Decimal math worksheet with four word problems and a rectangle for perimeter calculation.

Worksheet with decimal math problems involving comparisons, addition, and perimeter calculation.

Worksheet with decimal math problems involving comparisons, addition, and perimeter calculation.

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Show Answer Key & Explanations Step-by-step solution for: 5TH GRADE MATH - DECIMAL WORD PROBLEMS — Steemit
Let’s go through each problem one by one, carefully and step by step.

---

Problem 1:
Tony walked 15.52 km. Troy walked 15.25 km. Who walked longer?

We compare the two numbers:
15.52 vs 15.25

Look at the digits after the decimal point:
- Tony: .52 → that’s 52 hundredths
- Troy: .25 → that’s 25 hundredths

Since 52 > 25, then 15.52 > 15.25

So Tony walked longer.

---

Problem 2:
Jimmy saved $0.95 per day. Rony saved $1.05 per day. Who saved more each day?

Compare 0.95 and 1.05

Even though 0.95 looks big, 1.05 is actually bigger because it’s over 1 dollar.

Think of it like this:
- $0.95 = 95 cents
- $1.05 = 105 cents

105 > 95 → so Rony saved more.

Rony saved more money each day.

---

Problem 3:
Steven ran these distances:

- Monday: 2.04 miles
- Tuesday: 1.918 miles
- Wednesday: 2.5 miles
- Thursday: 0.85 miles
- Friday: 1.3 miles

We need to add them all up.

Let’s line them up with decimals aligned:

```
2.040 ← added a zero to make 3 decimal places for consistency
1.918
2.500 ← added two zeros
0.850 ← added one zero
+ 1.300 ← added two zeros
---------
```

Now add:

Start from rightmost digit (thousandths place):

0 + 8 + 0 + 0 + 0 = 8 → write 8

Hundredths place:

4 + 1 + 0 + 5 + 0 = 10 → write 0, carry 1

Tenths place:

0 + 9 + 5 + 8 + 3 = 25, plus carried 1 = 26 → write 6, carry 2

Ones place:

2 + 1 + 2 + 0 + 1 = 6, plus carried 2 = 8

So total = 8.608 miles

Wait — let me double-check that addition:

Actually, let’s do it again without padding first, just adding as is:

2.04
+1.918
= 3.958

3.958
+2.5
= 6.458

6.458
+0.85
= 7.308

7.308
+1.3
= 8.608

Yes, total = 8.608 miles

---

Problem 4:
Find the perimeter of the rectangle.

Given:
- Length = 4.25 cm
- Width = 1.5 cm

Perimeter of rectangle = 2 × (length + width)

So:

First, add length and width:
4.25 + 1.5 = ?

Write 1.5 as 1.50 to match decimal places:

4.25
+1.50
= 5.75

Now multiply by 2:
5.75 × 2 = 11.50

Perimeter = 11.5 cm

---

Final Answers:

1. Tony walked longer.
2. Rony saved more money each day.
3. Steven ran 8.608 miles in total.
4. The perimeter is 11.5 cm.

──────────────────────────────────────

Final Answer:
1. Tony
2. Rony
3. 8.608 miles
4. 11.5 cm
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals word problems worksheet.
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