Multiplying by Powers of 10

Question

Factor A - 1.7 x Factor greater than 1 - 10 = Product greater than factor A - _

- 0.58 x 1 = _
- 0.58 x 10 = _
- 0.58 x 100 = 58
- 0.58 x 1000 = _

Notice that the shifting of the digits to the left results in the decimal point being to the right of where it previously was before.

Answer 1

Let's complete the calculations step by step:

1. 0.58 x 1 = 0.58
   (Multiplying by 1 does not change the value.)

2. 0.58 x 10 = 5.8
   (When you multiply by 10, you shift the decimal point one place to the right.)

3. 0.58 x 100 = 58
   (When you multiply by 100, you shift the decimal point two places to the right.)

4. 0.58 x 1000 = 580
   (When you multiply by 1000, you shift the decimal point three places to the right.)

So, the complete list is:

• 0.58 x 1 = 0.58
• 0.58 x 10 = 5.8
• 0.58 x 100 = 58
• 0.58 x 1000 = 580

This illustrates how multiplying by powers of ten shifts the decimal point to the right, resulting in larger values.

Answer 2

Fill in the blanks
Factor A - 1.7 x Factor greater than 1 - 10 = Product greater than factor A - _

Answer 3

To fill in the blanks in your statement, we can break it down as follows:

1. Factor A is 1.7.
2. Factor greater than 1 is 10.
3. When you multiply 1.7 by 10, you get 17.

So, to complete the statement:

Factor A - 1.7 x Factor greater than 1 - 10 = Product greater than factor A - 17.

The completed sentence would read:

Factor A - 1.7 x Factor greater than 1 - 10 = Product greater than factor A - 17.