You're looking at a
visual multiplication of decimals worksheet using a
10x10 grid (hundredths grid). Each grid represents 1 whole, divided into 100 equal squares — so each square = 0.01 or 1/100.
The method used here is
area model multiplication:
- One decimal (e.g., 0.2) is represented by shading
rows (vertically).
- The other decimal (e.g., 0.8) is represented by shading
columns (horizontally).
- The
overlapping shaded area (usually shown in a third color like orange) represents the
product.
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Let’s go through
each problem and explain how to get the answer visually and mathematically.
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1) 0.2 × 0.8
- Shade 2 rows (for 0.2 → 20 squares vertically).
- Shade 8 columns (for 0.8 → 80 squares horizontally).
- Overlap: 2 rows × 8 columns =
16 squares.
- So, 16/100 =
0.16
✔ Answer:
16/100 = 0.16
---
2) 0.1 × 0.5
- 1 row × 5 columns =
5 squares
- 5/100 =
0.05
✔ Answer:
5/100 = 0.05
---
3) 0.3 × 0.8
- 3 rows × 8 columns =
24 squares
- 24/100 =
0.24
✔ Answer:
24/100 = 0.24
---
4) 0.4 × 0.5
- 4 rows × 5 columns =
20 squares
- 20/100 =
0.20 → simplified to
0.2
✔ Answer:
20/100 = 0.2
---
5) 0.6 × 0.8
- 6 rows × 8 columns =
48 squares
- 48/100 =
0.48
✔ Answer:
48/100 = 0.48
---
6) 0.9 × 0.5
- 9 rows × 5 columns =
45 squares
- 45/100 =
0.45
✔ Answer:
45/100 = 0.45
---
7) 0.5 × 0.6
- 5 rows × 6 columns =
30 squares
- 30/100 =
0.3
✔ Answer:
30/100 = 0.3
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8) 0.9 × 0.3
- 9 rows × 3 columns =
27 squares
- 27/100 =
0.27
✔ Answer:
27/100 = 0.27
---
9) 0.5 × 0.4
- 5 rows × 4 columns =
20 squares
- 20/100 =
0.2
✔ Answer:
20/100 = 0.2
---
10) 0.2 × 0.1
- 2 rows × 1 column =
2 squares
- 2/100 =
0.02
✔ Answer:
2/100 = 0.02
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11) 0.5 × 0.5
- 5 rows × 5 columns =
25 squares
- 25/100 =
0.25
✔ Answer:
25/100 = 0.25
---
12) 0.8 × 0.9
- 8 rows × 9 columns =
72 squares
- 72/100 =
0.72
✔ Answer:
72/100 = 0.72
---
13) 0.1 × 0.7
- 1 row × 7 columns =
7 squares
- 7/100 =
0.07
✔ Answer:
7/100 = 0.07
---
14) 0.2 × 0.4
- 2 rows × 4 columns =
8 squares
- 8/100 =
0.08
✔ Answer:
8/100 = 0.08
---
15) 0.9 × 0.9
- 9 rows × 9 columns =
81 squares
- 81/100 =
0.81
✔ Answer:
81/100 = 0.81
---
##
✔ Final Summary:
All answers match the
Answer Key provided on the right side of the worksheet.
This visual method helps students understand
why multiplying decimals gives smaller numbers — because you’re taking a *fraction of a fraction* of the whole grid.
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📌
Key Concept:
> When multiplying two decimals less than 1, the product is
always smaller than either factor — because you’re finding a part of a part.
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Let me know if you’d like to see how this connects to standard algorithm multiplication!
Parent Tip: Review the logic above to help your child master the concept of decimal models worksheet.
