When multiplying a decimal by a power of 10, the product .

Question

decreases
stays the same
increases
When dividing a decimal by a power of 10, the quotient .
stays the same
increases
decreases

Answer 1

When multiplying a decimal by a power of 10, the product increases. This is because multiplying by 10, 100, 1000, etc., shifts the decimal point to the right, effectively increasing the value of the number.

When dividing a decimal by a power of 10, the quotient decreases. This is because dividing by 10, 100, 1000, etc., shifts the decimal point to the left, effectively decreasing the value of the number.

So, to summarize:

• Multiplying a decimal by a power of 10: increases
• Dividing a decimal by a power of 10: decreases

Answer 2

What is the product of each expression?
0.59 × 1000 =
590
5900
59
7.147 × 10 =
0.7147
714.7
71.47
15.364 × 100 =
153.64
1536.4
15.364

Answer 3

Let's calculate the products of each expression:

1. 0.59 × 1000:

   • Moving the decimal point three places to the right (because we are multiplying by 1000) gives us: 590.

2. 7.147 × 10:

   • Moving the decimal point one place to the right (because we are multiplying by 10) gives us: 71.47.

3. 15.364 × 100:

   • Moving the decimal point two places to the right (because we are multiplying by 100) gives us: 1536.4.

So, the results are:

1. 0.59 × 1000 = 590
2. 7.147 × 10 = 71.47
3. 15.364 × 100 = 1536.4

Answer 4

100 Priority Mail Express packages cost $1,309.00 to mail. How much does 1 priority mail express package cost to mail? NOTE: Enter the amount as dollars, decimal point, then cents to be scored correctly. For example, 6 dollars and 7 cents would be written as 6.07

Answer 5

To find the cost of one Priority Mail Express package, divide the total cost by the number of packages:

\[ \text{Cost per package} = \frac{\text{Total cost}}{\text{Number of packages}} = \frac{1309.00}{100} = 13.09 \]

Therefore, the cost to mail one Priority Mail Express package is 13.09.

Answer 6

Sid solved the following problem: 175.362 ÷ 100 = 17,536.2 Did Sid make a mistake? (1 point) Responses Yes, Sid divided incorrectly. The correct answer should be 17.5362. Yes, Sid divided incorrectly. The correct answer should be 17.5362. Yes, Sid multiplied instead of dividing. The correct answer should be 1.75362. Yes, Sid multiplied instead of dividing. The correct answer should be 1.75362. Yes, Sid divided incorrectly. The correct answer should be 1,753.62. Yes, Sid divided incorrectly. The correct answer should be 1,753.62. No, Sid divided by 100 correctly and did not make a mistake.

Answer 7

Yes, Sid made a mistake in his division. When you divide 175.362 by 100, you move the decimal point two places to the left.

Let’s do the calculation:

\[ 175.362 \div 100 = 1.75362 \]

Thus, the correct answer should be 1.75362.

So, the correct response is: Yes, Sid divided incorrectly. The correct answer should be 1.75362.