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Mathable Smart Lab

CLASS VI • NUMBER SENSETopic: Decimals

A Peek Beyond the Point

Explore tenths, hundredths, thousandths, decimal comparison, fractions, money, measurement, and precision.

Fact Sheet: Decimals

Decimals help us measure the “little differences” between whole numbers. They are useful for length, weight, money, time, and science.

Decimal Point: The point separates whole-number places from fractional places.
Place Value: 4.372 means 4 ones, 3 tenths, 7 hundredths, and 2 thousandths.
Fraction Connection: 0.1 = 1/10, 0.01 = 1/100, 0.001 = 1/1000.
Hundreds100
Tens10
Ones1
.
Tenths1/10
Hundredths1/100
Thousandths1/1000

0.77 tenths7/10

Formula Hub

Tenths

1 tenth = 0.1 = 1/10

Example: 0.6 = 6/10

Hundredths

1 hundredth = 0.01 = 1/100

Example: 0.45 = 45/100

Thousandths

1 thousandth = 0.001 = 1/1000

Example: 0.125 = 125/1000

Comparing Decimals

Compare from left to right.

Add trailing zeroes if needed: 0.5 = 0.50.

Decimal to Fraction

Digits after decimal decide denominator.

0.37 = 37/100.

Money

₹3.75 means ₹3 and 75 paise.

100 paise = ₹1.

Interactive Lab: Decimal Explorer

Score: 0Current Streak: 🔥 0Badge: Decimal Starter


Activity Zone

🎛️ Decimal Bar Builder

Build tenths visually.

0.4 = 4/10

🧱 Hundredths Grid

Shade hundredths and read the decimal.

0.37 = 37/100

📍 Decimal Number Line

Move the marker from 0 to 1.

0.65

⚖️ Decimal Comparison Challenge

Choose the greater value.

0.7
0.65

🔁 Fraction ↔ Decimal Converter

💰 Money Decimal Lab

Add prices written as decimals.

Worksheet Generator

Create printable decimal practice on place value, comparison, fraction conversion, money, measurement, and number lines.



Real-World Use

Measurement: 2.5 cm is more precise than saying “about 2 cm”.
Money: ₹4.75 means 4 rupees and 75 paise.
Sports: Race timings like 10.42 seconds use decimals.
Science: Weight, temperature, and length often need decimal measurements.

🌍 Real-Life Case Generator

Teacher Tools

Learning Outcomes

  • Identify tenths, hundredths, and thousandths.
  • Represent decimals using bars, grids, and number lines.
  • Compare decimals using place value.
  • Convert common fractions to decimals and decimals to fractions.
  • Use decimals in money and measurement contexts.

Exit Ticket Prompts

  • Which is greater: 0.8 or 0.75? Explain.
  • Write 0.36 as a fraction.
  • What does the 7 mean in 4.72?