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Class 7 A Peek Beyond the Point: cheat sheet
CBSE Mathematics. Decimals continue place value to the right of the point: tenths, hundredths and thousandths. Compare, add and subtract them by lining up the points.
Key ideas
- Each place is one tenth of the place to its left: 0.1 = 1/10, 0.01 = 1/100, 0.001 = 1/1000.
- Zeros at the end after the point do not change the value: 2.5 = 2.50 = 2.500.
- To compare decimals, compare the whole parts first, then the tenths, then the hundredths.
- To add or subtract, line up the decimal points and fill gaps with zeros.
- Measures use decimals: 2 m 35 cm = 2.35 m and 1 kg 250 g = 1.25 kg.
Remember
| Place values | tenths 1/10, hundredths 1/100, thousandths 1/1000 |
| Length | 1 cm = 10 mm; 1 m = 100 cm; 1 km = 1000 m |
| Mass and volume | 1 kg = 1000 g; 1 L = 1000 mL |
Watch out
- Thinking 0.25 is bigger than 0.3 because 25 is bigger than 3.
- Lining up the last digits instead of the decimal points.
- Writing 2 m 5 cm as 2.5 m (it is 2.05 m).
Worked example
Add: 5.33 + 2.2 + 7.534
Working: line up the points: 5.330 + 2.200 + 7.534 = 15.064
Answer: 15.064
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