Question

How do decimals change when multiplied or divided by powers of 10 greater than 1?

Short, simple, make it seem like a 9th grader wrote it

Answer 1

Write it like a paragraph

Answer 2

When you multiply a decimal by a power of 10, like 10, 100, or 1000, you move the decimal point to the right. Each time you multiply by 10, you move it one place. For example:

- 2.5 × 10 = 25.0 (the decimal moves one place right)
- 3.45 × 100 = 345.0 (the decimal moves two places right)

On the other hand, when you divide a decimal by a power of 10, you move the decimal point to the left. Each division by 10 moves it one place. For example:

- 5.6 ÷ 10 = 0.56 (the decimal moves one place left)
- 12.4 ÷ 100 = 0.124 (the decimal moves two places left)

So, multiplying by a power of 10 makes the number bigger, while dividing by it makes the number smaller!

Answer 3

When you multiply a decimal by a power of 10, such as 10, 100, or 1000, the decimal point moves to the right. Each time you multiply by 10, you shift the decimal one place to the right. For example, if you multiply 2.5 by 10, it becomes 25.0, and if you multiply 3.45 by 100, it turns into 345.0. On the flip side, when you divide a decimal by a power of 10, the decimal point moves to the left. Each division by 10 shifts the decimal one place to the left. For instance, dividing 5.6 by 10 gives you 0.56, and dividing 12.4 by 100 results in 0.124. So, multiplying by a power of 10 makes the number bigger, while dividing by it makes the number smaller!