Answer :
Sure! Let's work through the math tasks step by step.
### 1. Convert Decimals to Percentages
To convert a decimal to a percentage, move the decimal point two places to the right and add a percent sign.
A. [tex]\(0.0145\)[/tex] converts to:
- Move the decimal two places: [tex]\(1.45\)[/tex]
- So, it's [tex]\(1.45\%\)[/tex]
C. [tex]\(0.75\)[/tex] converts to:
- Move the decimal two places: [tex]\(75.0\)[/tex]
- So, it's [tex]\(75\%\)[/tex]
8. [tex]\(0.624\)[/tex] converts to:
- Move the decimal two places: [tex]\(62.4\)[/tex]
- So, it's [tex]\(62.4\%\)[/tex]
D. [tex]\(0.076\)[/tex] converts to:
- Move the decimal two places: [tex]\(7.6\)[/tex]
- So, it's [tex]\(7.6\%\)[/tex]
### 2. Add and Subtract Decimals
Let's perform the additions and subtractions:
A. [tex]\(51,178.46 + 9,704.63\)[/tex]:
- Add the numbers to get [tex]\(60,883.09\)[/tex]
C. [tex]\(918.27 + 1,036.15\)[/tex]:
- Add the numbers to get [tex]\(1,954.42\)[/tex]
B. [tex]\(2,078.95 - 708.06\)[/tex]:
- Subtract to get [tex]\(1,370.89\)[/tex]
D. [tex]\(7,819.69 - 3,800.99\)[/tex]:
- Subtract to get [tex]\(4,018.7\)[/tex]
### 3. Divide Decimals and Round to the Nearest Thousandth
Let's divide these numbers:
A. [tex]\(75 \div 145\)[/tex]:
- Divide and round to the nearest thousandth to get [tex]\(0.517\)[/tex]
C. [tex]\(2.8 \div 98.1\)[/tex]:
- Divide and round to the nearest thousandth to get [tex]\(0.029\)[/tex]
8. [tex]\(10.4 \div 263.7\)[/tex]:
- Divide and round to the nearest thousandth to get [tex]\(0.039\)[/tex]
D. [tex]\(5.4 \div 378.1\)[/tex]:
- Divide and round to the nearest thousandth to get [tex]\(0.014\)[/tex]
There you have all the steps detailed out!
### 1. Convert Decimals to Percentages
To convert a decimal to a percentage, move the decimal point two places to the right and add a percent sign.
A. [tex]\(0.0145\)[/tex] converts to:
- Move the decimal two places: [tex]\(1.45\)[/tex]
- So, it's [tex]\(1.45\%\)[/tex]
C. [tex]\(0.75\)[/tex] converts to:
- Move the decimal two places: [tex]\(75.0\)[/tex]
- So, it's [tex]\(75\%\)[/tex]
8. [tex]\(0.624\)[/tex] converts to:
- Move the decimal two places: [tex]\(62.4\)[/tex]
- So, it's [tex]\(62.4\%\)[/tex]
D. [tex]\(0.076\)[/tex] converts to:
- Move the decimal two places: [tex]\(7.6\)[/tex]
- So, it's [tex]\(7.6\%\)[/tex]
### 2. Add and Subtract Decimals
Let's perform the additions and subtractions:
A. [tex]\(51,178.46 + 9,704.63\)[/tex]:
- Add the numbers to get [tex]\(60,883.09\)[/tex]
C. [tex]\(918.27 + 1,036.15\)[/tex]:
- Add the numbers to get [tex]\(1,954.42\)[/tex]
B. [tex]\(2,078.95 - 708.06\)[/tex]:
- Subtract to get [tex]\(1,370.89\)[/tex]
D. [tex]\(7,819.69 - 3,800.99\)[/tex]:
- Subtract to get [tex]\(4,018.7\)[/tex]
### 3. Divide Decimals and Round to the Nearest Thousandth
Let's divide these numbers:
A. [tex]\(75 \div 145\)[/tex]:
- Divide and round to the nearest thousandth to get [tex]\(0.517\)[/tex]
C. [tex]\(2.8 \div 98.1\)[/tex]:
- Divide and round to the nearest thousandth to get [tex]\(0.029\)[/tex]
8. [tex]\(10.4 \div 263.7\)[/tex]:
- Divide and round to the nearest thousandth to get [tex]\(0.039\)[/tex]
D. [tex]\(5.4 \div 378.1\)[/tex]:
- Divide and round to the nearest thousandth to get [tex]\(0.014\)[/tex]
There you have all the steps detailed out!
