One half of 1% converted to a decimal is

1. One half of 1% converted to a decimal is .

2. 0.184 rounded to the hundredths place is .

3. The first three place values to the right of the decimal point are the tenths place, the hundredths place, and the thousandths place.

4. The fraction 3/25 converted to a decimal is .

5. 0.45 converted to a fraction is .

6. $39,918.23 rounded to the nearest thousands is $.

7. 5% converted to a decimal is .

8. .04 expressed as a percentage is %.

9. 0.727935 rounded to the nearest thousandths place is .

10. The fraction 325/790 converted to a decimal and rounded to the nearest hundredths place is

The Correct Answer and Explanation is:

Answers:

1. One half of 1% converted to a decimal is: 0.005.
2. 0.184 rounded to the hundredths place is: 0.18.
3. The first three place values to the right of the decimal point are the tenths place, the hundredths place, and the thousandths place.
4. The fraction ( \frac{3}{25} ) converted to a decimal is: 0.12.
5. 0.45 converted to a fraction is: ( \frac{9}{20} ).
6. $39,918.23 rounded to the nearest thousands is: $40,000.
7. 5% converted to a decimal is: 0.05.
8. 0.04 expressed as a percentage is: 4%.
9. 0.727935 rounded to the nearest thousandths place is: 0.728.
10. The fraction ( \frac{325}{790} ) converted to a decimal and rounded to the nearest hundredths place is: 0.41.

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Detailed Explanation (Question 10):

To convert ( \frac{325}{790} ) to a decimal and round it to the nearest hundredths place, follow these steps:

1. Perform Division:
   Divide the numerator (325) by the denominator (790). Using a calculator or long division:
   [
   \frac{325}{790} = 0.411392405
   ]
2. Identify the Hundredths Place:
   In the decimal 0.411392405:

• The tenths place is 4 (first digit after the decimal).
• The hundredths place is 1 (second digit after the decimal).
• The thousandths place is 1 (third digit after the decimal).

1. Round to the Nearest Hundredths:
   To round to the hundredths place, look at the thousandths place. If the thousandths digit is 5 or greater, round up. If it is less than 5, keep the hundredths digit unchanged.

• In this case, the thousandths digit is 1 (less than 5). Thus, the hundredths place remains 1.

1. Final Answer:
   After rounding, ( \frac{325}{790} ) becomes 0.41.

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Why This Is Important:

1. Understanding Fractions and Decimals: This process bridges the relationship between fractions and decimals, crucial for various fields like finance, science, and nursing (e.g., medication dosages).
2. Rounding Accuracy: Proper rounding ensures precision in calculations, particularly in situations where minor differences could have significant impacts (e.g., engineering or medication administration).
3. Practicality: Converting between fractions, decimals, and percentages is common in day-to-day life, such as calculating discounts, tax, or financial estimations.