Math worksheet with decimal multiplication word problems for students to solve.

Let’s work through each question step by step.

---

Question 1:

> A jar of sweets weighs 0.265 kg.
> How much would 8 jars weigh?
> How much would 80 jars weigh?

We multiply the weight of one jar by the number of jars.

→ 8 jars:
0.265 × 8 = ?

Let’s calculate:

0.265 × 8
= (0.200 × 8) + (0.060 × 8) + (0.005 × 8)
= 1.600 + 0.480 + 0.040
= 2.120 kg

So, 8 jars weigh 2.12 kg

→ 80 jars:
0.265 × 80 = ?

We can think of this as 0.265 × 8 × 10 = 2.12 × 10 = 21.2 kg

Or directly:
0.265 × 80 = 21.2 kg

✔ So:
8 jars → 2.12 kg
80 jars → 21.2 kg

---

Question 2:

> A watering can holds 5.505 litres of water.
> How much would 6 cans hold?
> How much would 60 cans hold?

→ 6 cans:
5.505 × 6 = ?

Break it down:

5 × 6 = 30
0.5 × 6 = 3
0.005 × 6 = 0.03
Wait — better to do it properly:

5.505 × 6:

Start from right:

5 × 6 = 30 → write 0, carry 3
0 × 6 = 0 + 3 = 3
5 × 6 = 30 → write 0, carry 3
5 × 6 = 30 + 3 = 33

But since it’s 5.505 (three decimal places), we need to place the decimal correctly.

Actually, let’s do:

5.505 × 6:

= (5 + 0.5 + 0.005) × 6
= 5×6 + 0.5×6 + 0.005×6
= 30 + 3 + 0.03
= 33.03 litres

✔ So 6 cans → 33.03 L

→ 60 cans:
5.505 × 60 = 5.505 × 6 × 10 = 33.03 × 10 = 330.3 litres

✔ So:
6 cans → 33.03 L
60 cans → 330.3 L

---

Question 3:

> A plank of wood is 3.775 m long.
> How long would 4 planks be?
> How long would 400 planks be?

→ 4 planks:
3.775 × 4 = ?

Calculate:

3 × 4 = 12
0.7 × 4 = 2.8
0.07 × 4 = 0.28
0.005 × 4 = 0.02

Add them:

12 + 2.8 = 14.8
14.8 + 0.28 = 15.08
15.08 + 0.02 = 15.10

So, 3.775 × 4 = 15.1 metres

→ 400 planks:
3.775 × 400 = 3.775 × 4 × 100 = 15.1 × 100 = 1510 metres

✔ So:
4 planks → 15.1 m
400 planks → 1510 m

---

Question 4:

> Which is greater:
> 0.654 × 7 or 0.739 × 6
> What is the difference between the two?

First, calculate both:

→ 0.654 × 7:

0.654 × 7:

654 × 7 = 4578 → so 0.654 × 7 = 4.578

→ 0.739 × 6:

739 × 6 = 4434 → so 0.739 × 6 = 4.434

Compare:
4.578 vs 4.434 → 4.578 is greater

Difference:
4.578 - 4.434 = 0.144

✔ So:
Greater value: 0.654 × 7 = 4.578
Difference: 0.144

---

Final Answer:
1. 8 jars: 2.12 kg; 80 jars: 21.2 kg
2. 6 cans: 33.03 L; 60 cans: 330.3 L
3. 4 planks: 15.1 m; 400 planks: 1510 m
4. Greater: 0.654 × 7 = 4.578; Difference: 0.144