Model decimals and fractions
key points :
🔸 Fractions Show Parts of a Whole 🧁
A fraction has two parts:
- Numerator 👉 number of parts selected
- Denominator 👉 total number of equal parts
Example: 3/10 means 3 parts out of 10 equal parts.
🔹 Decimals Also Show Parts of a Whole 💡
A decimal uses a dot ( . ) to show parts of 1.
- 0.1 = 1/10
- 0.01 = 1/100
🍬 Fractions and Decimals Can Represent the Same Value
| Fraction | Decimal |
|---|---|
| 1/10 | 0.1 |
| 5/10 | 0.5 |
| 3/100 | 0.03 |
Example:
½ = 0.5 and ¼ = 0.25
🟥🟩🟦 Use Models to Show Fractions & Decimals
We can model them with:
✔ Grids (10×10 hundred grids)
✔ Number lines
✔ Base-10 blocks
Example using a Hundred Grid:
- Shade 36 boxes 👉 36/100 = 0.36 🎨
📏 Model on a Number Line
A number line between 0 and 1 can be divided into:
- 10 parts (tenths)
- 100 parts (hundredths)
Example:
Mark 0.4 at the 4th line of 10 equal parts.
Mark 0.25 at 25th line of 100 equal parts.
🔁 Convert Fractions ↔ Decimals
To convert fractions to decimals:
Divide numerator ÷ denominator.
Example:
3/4 → 3 ÷ 4 = 0.75
To convert decimals to fractions:
Write it over 10, 100, or 1000
0.08 → 8/100
📊 Compare Fractions and Decimals
Use models to compare values:
- 0.4 > 0.35 because 40 hundredths > 35 hundredths
- 3/10 < 5/10 so 0.3 < 0.5
⭐ Equivalent Fractions and Decimals
A fraction and decimal can be equivalent if they show the same value:
- 50/100 = 5/10 = 0.5
- 25/100 = 0.25
🧠 Real-Life Examples
Fractions & decimals are used in daily life:
🍫 Chocolate bars
📏 Measurements
💰 Money (₹0.50 = 50 paise)
Learn with an example
Show 6/100 by shading the model.
The model has 10 rows and 10 columns. So, there are 10×10=100 equal parts.
You can shade any 6 parts to show
Here is another way to show
Show 9/10 by shading the model.
The model has 10 equal parts.
You can shade any 9 parts to show 9/10.
Here is another way to show
Show 4/10 by shading the model.
Click and drag to shade.
The model has 10 equal parts.
You can shade any 4 parts to show 4/10 .
Here is another way to show 4/10 :
Let’s practice!
