Page Matthews
03/07/2024 · Middle School
Proctiso For help with \#1 to \#3, refer to Example 1 on page 1. Express each scale in ratio form. a) 1 cm to 1 m b) 1 cm to 0.5 m c) 1 cm to 1 km d) 1 cm to 100 m
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To express each scale in ratio form, we need to convert all measurements to the same unit. In this case, we will convert everything to centimeters (cm) since the first measurement in each case is in cm.
1. **1 cm to 1 m**
- 1 m = 100 cm
- Ratio: \( 1 \, \text{cm} : 100 \, \text{cm} \)
- Simplified Ratio: \( 1 : 100 \)
2. **1 cm to 0.5 m**
- 0.5 m = 50 cm
- Ratio: \( 1 \, \text{cm} : 50 \, \text{cm} \)
- Simplified Ratio: \( 1 : 50 \)
3. **1 cm to 1 km**
- 1 km = 100,000 cm
- Ratio: \( 1 \, \text{cm} : 100,000 \, \text{cm} \)
- Simplified Ratio: \( 1 : 100,000 \)
4. **1 cm to 100 m**
- 100 m = 10,000 cm
- Ratio: \( 1 \, \text{cm} : 10,000 \, \text{cm} \)
- Simplified Ratio: \( 1 : 10,000 \)
So, the ratios are:
- a) \( 1 : 100 \)
- b) \( 1 : 50 \)
- c) \( 1 : 100,000 \)
- d) \( 1 : 10,000 \)
Quick Answer
- a) \( 1 : 100 \)
- b) \( 1 : 50 \)
- c) \( 1 : 100,000 \)
- d) \( 1 : 10,000 \)
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