Multiplying a number by 10 depends on whether the number is a whole number or a decimal.
Multiplying Whole Numbers by 10
When multiplying a whole number by 10, you simply add a "0" to the end of the number.
Examples:
- 5 x 10 = 50
- 23 x 10 = 230
- 147 x 10 = 1470
Explanation: This works because each digit shifts one place value to the left (e.g., the ones place becomes the tens place, the tens place becomes the hundreds place).
Multiplying Decimals by 10
When multiplying a decimal number by 10, you move the decimal point one place to the right.
Examples:
- 3.14 x 10 = 31.4
- 0.75 x 10 = 7.5
- 12.5 x 10 = 125
Explanation: Moving the decimal point one place to the right is equivalent to multiplying by 10, as each digit increases in value by a factor of 10.
