Understanding Multiplying and Dividing by 10, 100, and 1000
Part 1: The Magic of Multiplying by 10, 100, and 1000
Multiplying by 10
When you multiply a number by 10, each digit moves one place to the left, and we add a zero at the end.
Example: 23 × 10 = 230
The 2 moves from tens to hundreds, the 3 moves from ones to tens, and we add a zero in the ones place.
Multiplying by 100
When you multiply by 100, each digit moves two places to the left, and we add two zeros at the end.
Example: 45 × 100 = 4,500
The 4 moves from tens to thousands, the 5 moves from ones to hundreds, and we add two zeros.
Multiplying by 1000
When you multiply by 1000, each digit moves three places to the left, and we add three zeros at the end.
Example: 67 × 1000 = 67,000
The 6 moves from tens to ten-thousands, the 7 moves from ones to thousands, and we add three zeros.
Part 2: The Pattern of Dividing by 10, 100, and 1000
Dividing by 10
When you divide by 10, each digit moves one place to the right, and we remove a zero from the end (if there is one).
Example: 340 ÷ 10 = 34
The 3 moves from hundreds to tens, the 4 moves from tens to ones, and the zero disappears.