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πŸ”’ Decimals

Ngā Tau Ira β€” Numbers with Decimal Points

πŸ’° More Precise Than Whole Numbers

Decimals are numbers with a decimal point that show parts of a whole. We use them every day β€” money ($3.50), measurements (1.5 km), and more!

πŸ“Š Decimal Place Value

Tens Ones . Tenths Hundredths Thousandths
10 1 . 0.1 0.01 0.001
Example: 15.347
  • 1 = one ten (10)
  • 5 = five ones (5)
  • 3 = three tenths (0.3)
  • 4 = four hundredths (0.04)
  • 7 = seven thousandths (0.007)

πŸ”— Decimals & Fractions

They're Related!
  • 0.5 = 1/2 (one half)
  • 0.25 = 1/4 (one quarter)
  • 0.75 = 3/4 (three quarters)
  • 0.1 = 1/10 (one tenth)

πŸ“ Comparing Decimals

How to Compare
  1. Line up the decimal points
  2. Compare digit by digit from left to right
  3. The first different digit tells you which is bigger

Example: 3.45 vs 3.54 β†’ Compare tenths: 4 < 5, so 3.45 < 3.54

🎯 Rounding Decimals

When to Round Up or Down

Look at the digit AFTER the place you're rounding to:

  • 0-4 β†’ Round DOWN (keep the same)
  • 5-9 β†’ Round UP (add 1)

Example: 3.847 rounded to 1 decimal place = 3.8

✏️ Activities

Order These (smallest to largest)

0.5, 0.05, 0.55, 0.15

Answer: ___, ___, ___, ___

Round to 1 Decimal Place
  1. 4.67 β†’ ___
  2. 8.24 β†’ ___
  3. 12.95 β†’ ___

πŸ‘©β€πŸ« Teacher Notes

Curriculum Links
  • Mathematics: Number β€” decimals