Topic Content:
- Multiplication and Division with Decimals
Multiplication and Division by Power of 10:
The table below shows the multiplication of 5.03 by different powers of 10
| 5.03 × 1 | = 5.03 × 100 | 5.03 |
| 5.03 × 10 | = 5.03 × 101 | 50.3 |
| 5.03 × 100 | = 5.03 × 102 | 503 |
| 5.03 × 1000 | = 5.03 × 103 | 5 030 |
| 5.03 × 10000 | = 5.03 × 104 | 50 300 |
If you look closely at the table, you will notice:
1. As the power of 10 increases, it appears as if the decimal point stays where it is and the digits in the number move to the left.
2. The digits move as many places to the left as the power of 10 (or as the number of zeros in the multiplier.
3. As each place to the right of the digits becomes empty, we fill it with a zero to act as a placeholder.
4. If the fraction of the right of the decimal point becomes zero, there is no need to write anything after the point.
Similarly, we divide 5.03 by increasing power of 10.
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