Decimal Worksheets - Free Printable
Educational worksheet: Decimal Worksheets. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Worksheets
To solve the problem, we need to analyze each grid and determine the fraction and decimal representation of the shaded part. Each grid represents a whole divided into equal parts, and the shaded portion indicates the fraction of the whole.
1. Grids with 100 Squares: These grids represent hundredths (each square is \( \frac{1}{100} \)).
2. Grids with 10 Rectangles: These grids represent tenths (each rectangle is \( \frac{1}{10} \)).
Let's go through each part step by step:
---
- Grid Type: 100 squares (hundredths).
- Shaded Part: 30 squares.
- Fraction: \( \frac{30}{100} \).
- Decimal: \( 0.30 \).
Answer:
- Fraction: \( \frac{30}{100} \)
- Decimal: \( 0.30 \)
---
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 6 rectangles.
- Fraction: \( \frac{6}{10} \).
- Decimal: \( 0.6 \).
Answer:
- Fraction: \( \frac{6}{10} \)
- Decimal: \( 0.6 \)
---
- Grid Type: 100 squares (hundredths).
- Shaded Part: 45 squares.
- Fraction: \( \frac{45}{100} \).
- Decimal: \( 0.45 \).
Answer:
- Fraction: \( \frac{45}{100} \)
- Decimal: \( 0.45 \)
---
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 1 rectangle.
- Fraction: \( \frac{1}{10} \).
- Decimal: \( 0.1 \).
Answer:
- Fraction: \( \frac{1}{10} \)
- Decimal: \( 0.1 \)
---
- Grid Type: 100 squares (hundredths).
- Shaded Part: 70 squares.
- Fraction: \( \frac{70}{100} \).
- Decimal: \( 0.70 \).
Answer:
- Fraction: \( \frac{70}{100} \)
- Decimal: \( 0.70 \)
---
- Grid Type: 100 squares (hundredths).
- Shaded Part: 0 squares.
- Fraction: \( \frac{0}{100} \).
- Decimal: \( 0.00 \).
Answer:
- Fraction: \( \frac{0}{100} \)
- Decimal: \( 0.00 \)
---
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 8 rectangles.
- Fraction: \( \frac{8}{10} \).
- Decimal: \( 0.8 \).
Answer:
- Fraction: \( \frac{8}{10} \)
- Decimal: \( 0.8 \)
---
- Grid Type: 100 squares (hundredths).
- Shaded Part: 90 squares.
- Fraction: \( \frac{90}{100} \).
- Decimal: \( 0.90 \).
Answer:
- Fraction: \( \frac{90}{100} \)
- Decimal: \( 0.90 \)
---
- Grid Type: 100 squares (hundredths).
- Shaded Part: 1 square.
- Fraction: \( \frac{1}{100} \).
- Decimal: \( 0.01 \).
Answer:
- Fraction: \( \frac{1}{100} \)
- Decimal: \( 0.01 \)
---
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 4 rectangles.
- Fraction: \( \frac{4}{10} \).
- Decimal: \( 0.4 \).
Answer:
- Fraction: \( \frac{4}{10} \)
- Decimal: \( 0.4 \)
---
- Grid Type: 100 squares (hundredths).
- Shaded Part: 99 squares.
- Fraction: \( \frac{99}{100} \).
- Decimal: \( 0.99 \).
Answer:
- Fraction: \( \frac{99}{100} \)
- Decimal: \( 0.99 \)
---
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 7 rectangles.
- Fraction: \( \frac{7}{10} \).
- Decimal: \( 0.7 \).
Answer:
- Fraction: \( \frac{7}{10} \)
- Decimal: \( 0.7 \)
---
| Part | Fraction | Decimal |
|------|----------------|-----------|
| a | \( \frac{30}{100} \) | \( 0.30 \) |
| b | \( \frac{6}{10} \) | \( 0.6 \) |
| c | \( \frac{45}{100} \) | \( 0.45 \) |
| d | \( \frac{1}{10} \) | \( 0.1 \) |
| e | \( \frac{70}{100} \) | \( 0.70 \) |
| f | \( \frac{0}{100} \) | \( 0.00 \) |
| g | \( \frac{8}{10} \) | \( 0.8 \) |
| h | \( \frac{90}{100} \) | \( 0.90 \) |
| i | \( \frac{1}{100} \) | \( 0.01 \) |
| j | \( \frac{4}{10} \) | \( 0.4 \) |
| k | \( \frac{99}{100} \) | \( 0.99 \) |
| l | \( \frac{7}{10} \) | \( 0.7 \) |
Boxed Final Answer:
\[
\boxed{
\begin{array}{c|c|c}
\text{Part} & \text{Fraction} & \text{Decimal} \\
\hline
a & \frac{30}{100} & 0.30 \\
b & \frac{6}{10} & 0.6 \\
c & \frac{45}{100} & 0.45 \\
d & \frac{1}{10} & 0.1 \\
e & \frac{70}{100} & 0.70 \\
f & \frac{0}{100} & 0.00 \\
g & \frac{8}{10} & 0.8 \\
h & \frac{90}{100} & 0.90 \\
i & \frac{1}{100} & 0.01 \\
j & \frac{4}{10} & 0.4 \\
k & \frac{99}{100} & 0.99 \\
l & \frac{7}{10} & 0.7 \\
\end{array}
}
\]
Key Points:
1. Grids with 100 Squares: These grids represent hundredths (each square is \( \frac{1}{100} \)).
2. Grids with 10 Rectangles: These grids represent tenths (each rectangle is \( \frac{1}{10} \)).
Let's go through each part step by step:
---
Part a:
- Grid Type: 100 squares (hundredths).
- Shaded Part: 30 squares.
- Fraction: \( \frac{30}{100} \).
- Decimal: \( 0.30 \).
Answer:
- Fraction: \( \frac{30}{100} \)
- Decimal: \( 0.30 \)
---
Part b:
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 6 rectangles.
- Fraction: \( \frac{6}{10} \).
- Decimal: \( 0.6 \).
Answer:
- Fraction: \( \frac{6}{10} \)
- Decimal: \( 0.6 \)
---
Part c:
- Grid Type: 100 squares (hundredths).
- Shaded Part: 45 squares.
- Fraction: \( \frac{45}{100} \).
- Decimal: \( 0.45 \).
Answer:
- Fraction: \( \frac{45}{100} \)
- Decimal: \( 0.45 \)
---
Part d:
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 1 rectangle.
- Fraction: \( \frac{1}{10} \).
- Decimal: \( 0.1 \).
Answer:
- Fraction: \( \frac{1}{10} \)
- Decimal: \( 0.1 \)
---
Part e:
- Grid Type: 100 squares (hundredths).
- Shaded Part: 70 squares.
- Fraction: \( \frac{70}{100} \).
- Decimal: \( 0.70 \).
Answer:
- Fraction: \( \frac{70}{100} \)
- Decimal: \( 0.70 \)
---
Part f:
- Grid Type: 100 squares (hundredths).
- Shaded Part: 0 squares.
- Fraction: \( \frac{0}{100} \).
- Decimal: \( 0.00 \).
Answer:
- Fraction: \( \frac{0}{100} \)
- Decimal: \( 0.00 \)
---
Part g:
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 8 rectangles.
- Fraction: \( \frac{8}{10} \).
- Decimal: \( 0.8 \).
Answer:
- Fraction: \( \frac{8}{10} \)
- Decimal: \( 0.8 \)
---
Part h:
- Grid Type: 100 squares (hundredths).
- Shaded Part: 90 squares.
- Fraction: \( \frac{90}{100} \).
- Decimal: \( 0.90 \).
Answer:
- Fraction: \( \frac{90}{100} \)
- Decimal: \( 0.90 \)
---
Part i:
- Grid Type: 100 squares (hundredths).
- Shaded Part: 1 square.
- Fraction: \( \frac{1}{100} \).
- Decimal: \( 0.01 \).
Answer:
- Fraction: \( \frac{1}{100} \)
- Decimal: \( 0.01 \)
---
Part j:
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 4 rectangles.
- Fraction: \( \frac{4}{10} \).
- Decimal: \( 0.4 \).
Answer:
- Fraction: \( \frac{4}{10} \)
- Decimal: \( 0.4 \)
---
Part k:
- Grid Type: 100 squares (hundredths).
- Shaded Part: 99 squares.
- Fraction: \( \frac{99}{100} \).
- Decimal: \( 0.99 \).
Answer:
- Fraction: \( \frac{99}{100} \)
- Decimal: \( 0.99 \)
---
Part l:
- Grid Type: 10 rectangles (tenths).
- Shaded Part: 7 rectangles.
- Fraction: \( \frac{7}{10} \).
- Decimal: \( 0.7 \).
Answer:
- Fraction: \( \frac{7}{10} \)
- Decimal: \( 0.7 \)
---
Final Answers:
| Part | Fraction | Decimal |
|------|----------------|-----------|
| a | \( \frac{30}{100} \) | \( 0.30 \) |
| b | \( \frac{6}{10} \) | \( 0.6 \) |
| c | \( \frac{45}{100} \) | \( 0.45 \) |
| d | \( \frac{1}{10} \) | \( 0.1 \) |
| e | \( \frac{70}{100} \) | \( 0.70 \) |
| f | \( \frac{0}{100} \) | \( 0.00 \) |
| g | \( \frac{8}{10} \) | \( 0.8 \) |
| h | \( \frac{90}{100} \) | \( 0.90 \) |
| i | \( \frac{1}{100} \) | \( 0.01 \) |
| j | \( \frac{4}{10} \) | \( 0.4 \) |
| k | \( \frac{99}{100} \) | \( 0.99 \) |
| l | \( \frac{7}{10} \) | \( 0.7 \) |
Boxed Final Answer:
\[
\boxed{
\begin{array}{c|c|c}
\text{Part} & \text{Fraction} & \text{Decimal} \\
\hline
a & \frac{30}{100} & 0.30 \\
b & \frac{6}{10} & 0.6 \\
c & \frac{45}{100} & 0.45 \\
d & \frac{1}{10} & 0.1 \\
e & \frac{70}{100} & 0.70 \\
f & \frac{0}{100} & 0.00 \\
g & \frac{8}{10} & 0.8 \\
h & \frac{90}{100} & 0.90 \\
i & \frac{1}{100} & 0.01 \\
j & \frac{4}{10} & 0.4 \\
k & \frac{99}{100} & 0.99 \\
l & \frac{7}{10} & 0.7 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of decimal models worksheet.