Multiplying by 10, 100, 1000
Definition of Multiplying by 10, 100, 1000
- Multiplying by 10, 100, 1000 is a fundamental concept in Mathematics, which makes calculations easier, especially in mental maths.
- It involves shifting the digits of a number to the left to create bigger numbers.
- Every left shift by one place equates to multiplying the original number by 10.
- The same principle applies to multiplication by higher powers of 10 like 100 and 1000 with the shift being more to the left.
Steps to Multiply by 10, 100, 1000
- Multiplying by 10: Shift all digits one place to the left and fill the right-most space with a zero. For example, 53 * 10 = 530.
- Multiplying by 100: Shift all digits two places to the left and fill the right-most spaces with two zeros. For example, 53 * 100 = 5300.
- Multiplying by 1000: Shift all digits three places to the left and fill the right-most spaces with three zeros. For example, 53 * 1000 = 53000.
Considerations when Multiplying Decimals by 10, 100, 1000
- When multiplying decimal numbers by 10, 100, or 1000 the same principle applies, but rather than adding zeros, the decimal point itself moves to the right.
- Multiplying decimals by 10: The decimal point moves one place to the right. For example, 5.3 * 10 = 53.
- Multiplying decimals by 100: The decimal point moves two places to the right. For example, 0.53 * 100 = 53.
- Multiplying decimals by 1000: The decimal point moves three places to the right. For example, 0.053 * 1000 = 53.
Common Mistakes with Multiplying by 10, 100, 1000
- Misplacing decimal point: When dealing with decimal numbers, ensuring correct placement of the decimal point is crucial. Always remember the decimal point moves, not the digits.
- Confusing direction of movement: Remember that when multiplying, the digits or decimal point move to the left or right, increasing the number size.
- Incorrect number of zeros: Always correspond the number of zeros in the multiplying factor with the number of places to move. For example, three places for 1000.