What decimal number is illustrated?

key notes :

🔍 Understanding Decimal Models

  • Decimals can be shown using grids, blocks, number lines, or money models 💰
  • Each model represents parts of a whole (1) 🧩

🟥🟦 Base-Ten Blocks Representation

BlockValueExample
🟦 Large Square1 whole = 1.02 squares = 2.0
🔶 Long RodOne-tenth = 0.13 rods = 0.3
🟨 Small CubeOne-hundredth = 0.015 cubes = 0.05

👉 Add them to find the decimal number
Example: 1 square + 4 rods + 7 cubes = 1.47


🟩📊 100-Grid Model (Hundred Chart)

  • A full grid shaded = 1.00
  • 1 square shaded in the grid = 0.01
  • 10 squares shaded = 0.10

Example: If 36 squares are shaded → 0.36 🎯


📍📏 Decimal on a Number Line

  • Between 0 and 1 we divide the line into 10 equal parts for tenths (0.1)
  • Each tenth can be divided into 10 smaller parts for hundredths (0.01)

🧠 Example: A point between 0.4 and 0.5 at the 3rd small line = 0.43 🧮


💰🪙 Money Model

  • ₹1 = 1.00
  • 10 paise = 0.10
  • 1 paise = 0.01

Example: ₹1 + 30p + 5p = ₹1.35 ➡️ 1.35 as a decimal


🧠💡 Key Strategy to Read Illustrated Decimals

✅ Count the wholes
✅ Count the tenths
✅ Count the hundredths
Add them together to get the decimal


🎉 Example Problem

If the model shows:

  • 2 wholes
  • 5 tenths
  • 9 hundredths

Decimal number = 2.59 🌈


🏁 Final Tip

🔸 Decimals show parts of a whole
🔸 Always check if the illustration represents tenths or hundredths
🔸 Write the value correctly using the decimal point ✏️

Learn with an example

What decimal number is illustrated?

There are 100 squares. There are 22 coloured squares. This picture shows twenty-two hundredths.

Now write twenty-two hundredths as a decimal. Use a place value chart.

ones tenthshundredths
0.22

The answer is 0.22.

What decimal number is illustrated?

There are 100 squares. There are 62 colored squares. This picture shows sixty-two hundredths.

Now write sixty-two hundredths as a decimal. Use a place value chart.

The answer is 0.62.

What decimal number is illustrated?

There are 100 squares. There are 21 coloured squares. This picture shows twenty-one hundredths.

Now write twenty-one hundredths as a decimal. Use a place value chart.

ones tenthshundredths
0.21

The answer is 0.21.

Let’s practice!