Express each of the following as a decimal :
(I ) 80 % (ii ) 8% (iii ) 205 %

Answer

To express the given percentages as decimals, we can follow these steps:

### Step 1: Convert 80% to Decimal
1. **Understand the conversion**: To convert a percentage to a decimal, divide by 100.
\[ 80\% = \frac{80}{100} \]
2. **Simplify the fraction**:
\[ \frac{80}{100} = \frac{8}{10} = 0.8 \]

### Step 2: Convert 8% to Decimal
1. **Understand the conversion**: Again, divide by 100.
\[ 8\% = \frac{8}{100} \]
2. **Simplify the fraction**:
\[ \frac{8}{100} = \frac{2}{25} \]
3. **Convert to decimal**:
- Divide 2 by 25.
- 25 goes into 2 zero times, so we add a decimal point and a zero.
- 25 goes into 20 zero times, so we add another zero.
- 25 goes into 200 eight times (25 × 8 = 200).
\[ 8\% = 0.08 \]

### Step 3: Convert 205% to Decimal
1. **Understand the conversion**: Divide by 100.
\[ 205\% = \frac{205}{100} \]
2. **Simplify the fraction**:
\[ \frac{205}{100} = 2.05 \]

### Final Answers:
- (i) 80% = 0.8
- (ii) 8% = 0.08
- (iii) 205% = 2.05

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