1 centimeter (cm) = 10 millimeters(mm) 1. 170 mm = \frac{170}{10}cm 2 120 mm = \frac{120}{10}cm 3. 135 mm = \frac{135}{10}cm 4. 210 mm = \frac{210}{10}cm 6. 67 cm = \frac{67 \times 10}{1} mm 7. 78 cm = \frac{78 \times 10}{1} mm 8. 32 cm = \frac{32 \times 10}{1} mm 9. 28 cm = \frac{28 \times 10}{1} mm
The Correct Answer and Explanation is:
Length Conversion Between Millimeters and Centimeters
Note:
1 centimeter (cm) = 10 millimeters (mm)
Convert millimeters to centimeters:
- 170 mm = 17010\frac{170}{10}10170 cm = 17 cm
- 120 mm = 12010\frac{120}{10}10120 cm = 12 cm
- 135 mm = 13510\frac{135}{10}10135 cm = 13.5 cm
- 210 mm = 21010\frac{210}{10}10210 cm = 21 cm
Convert centimeters to millimeters:
- 67 cm = 67×1067 \times 1067×10 mm = 670 mm
- 78 cm = 78×1078 \times 1078×10 mm = 780 mm
- 32 cm = 32×1032 \times 1032×10 mm = 320 mm
- 28 cm = 28×1028 \times 1028×10 mm = 280 mm
Explanation (Approximately 300 Words):
In the metric system, units of length are based on powers of ten, making it easy to convert between them using simple multiplication or division. Two common units of length are millimeters (mm) and centimeters (cm).
The basic relationship is:1 centimeter (cm)=10 millimeters (mm)1 \text{ centimeter (cm)} = 10 \text{ millimeters (mm)}1 centimeter (cm)=10 millimeters (mm)
This means that a centimeter is 10 times longer than a millimeter. So when converting from millimeters to centimeters, divide the number of millimeters by 10. This reduces the value because we are moving to a larger unit. For example, to convert 170 mm to centimeters:170÷10=17 cm170 \div 10 = 17 \text{ cm}170÷10=17 cm
On the other hand, when converting from centimeters to millimeters, multiply the number of centimeters by 10. This increases the value because we are converting to a smaller unit. For example, to convert 67 cm to millimeters:67×10=670 mm67 \times 10 = 670 \text{ mm}67×10=670 mm
This method works consistently for any conversion between cm and mm due to the decimal nature of the metric system. Converting between units this way helps in measurement, construction, science, and everyday life by providing a standard approach. Whether measuring the length of a pencil in mm or the height of a table in cm, understanding how to move between these units ensures accurate and consistent measurements.
