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Answer :
Let's evaluate each expression to determine which ones have a value larger than 100.
A. 120% of 100: To calculate this, we convert the percentage to a decimal by dividing by 100, and then multiply by 100.
- Calculation: [tex]\(1.20 \times 100 = 120\)[/tex]
- Result: 120, which is larger than 100.
B. 50% of 150: Convert the percentage to a decimal and multiply by 150.
- Calculation: [tex]\(0.50 \times 150 = 75\)[/tex]
- Result: 75, which is not larger than 100.
C. 150% of 50: Convert the percentage to a decimal and multiply by 50.
- Calculation: [tex]\(1.50 \times 50 = 75\)[/tex]
- Result: 75, which is not larger than 100.
D. 2045% of 800: Convert the percentage to a decimal and multiply by 800.
- Calculation: [tex]\(20.45 \times 800 = 16360\)[/tex]
- Result: 16360, which is larger than 100.
E. 200% of 30: Convert the percentage to a decimal and multiply by 30.
- Calculation: [tex]\(2.00 \times 30 = 60\)[/tex]
- Result: 60, which is not larger than 100.
F. 500% of 400: Convert the percentage to a decimal and multiply by 400.
- Calculation: [tex]\(5.00 \times 400 = 2000\)[/tex]
- Result: 2000, which is larger than 100.
G. 15% of 1,000: Convert the percentage to a decimal and multiply by 1,000.
- Calculation: [tex]\(0.15 \times 1000 = 150\)[/tex]
- Result: 150, which is larger than 100.
Based on these calculations, the expressions that have values larger than 100 are:
- A. 120% of 100
- D. 2045% of 800
- F. 500% of 400
- G. 15% of 1,000
These are the expressions with values greater than 100.
A. 120% of 100: To calculate this, we convert the percentage to a decimal by dividing by 100, and then multiply by 100.
- Calculation: [tex]\(1.20 \times 100 = 120\)[/tex]
- Result: 120, which is larger than 100.
B. 50% of 150: Convert the percentage to a decimal and multiply by 150.
- Calculation: [tex]\(0.50 \times 150 = 75\)[/tex]
- Result: 75, which is not larger than 100.
C. 150% of 50: Convert the percentage to a decimal and multiply by 50.
- Calculation: [tex]\(1.50 \times 50 = 75\)[/tex]
- Result: 75, which is not larger than 100.
D. 2045% of 800: Convert the percentage to a decimal and multiply by 800.
- Calculation: [tex]\(20.45 \times 800 = 16360\)[/tex]
- Result: 16360, which is larger than 100.
E. 200% of 30: Convert the percentage to a decimal and multiply by 30.
- Calculation: [tex]\(2.00 \times 30 = 60\)[/tex]
- Result: 60, which is not larger than 100.
F. 500% of 400: Convert the percentage to a decimal and multiply by 400.
- Calculation: [tex]\(5.00 \times 400 = 2000\)[/tex]
- Result: 2000, which is larger than 100.
G. 15% of 1,000: Convert the percentage to a decimal and multiply by 1,000.
- Calculation: [tex]\(0.15 \times 1000 = 150\)[/tex]
- Result: 150, which is larger than 100.
Based on these calculations, the expressions that have values larger than 100 are:
- A. 120% of 100
- D. 2045% of 800
- F. 500% of 400
- G. 15% of 1,000
These are the expressions with values greater than 100.
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