Math Problem Statement

Convert the following units: 1. 3075 mm = ____ m 2. 87 cm = ____ m 3. 975 cm = ____ mm 4. 6850 mm = ____ cm 5. 48306 m = ____ km

Solution

Let's work through the conversion problems shown in the image. Here are the given tasks:

  1. 3075 mm = ____ m
    To convert millimeters (mm) to meters (m), divide by 1000:
    3075mm=30751000m=3.075m3075 \, \text{mm} = \frac{3075}{1000} \, \text{m} = 3.075 \, \text{m}

  2. 87 cm = ____ m
    To convert centimeters (cm) to meters (m), divide by 100:
    87cm=87100m=0.87m87 \, \text{cm} = \frac{87}{100} \, \text{m} = 0.87 \, \text{m}

  3. 975 cm = ____ mm
    To convert centimeters (cm) to millimeters (mm), multiply by 10:
    975cm=975×10mm=9750mm975 \, \text{cm} = 975 \times 10 \, \text{mm} = 9750 \, \text{mm}

  4. 6850 mm = ____ cm
    To convert millimeters (mm) to centimeters (cm), divide by 10:
    6850mm=685010cm=685cm6850 \, \text{mm} = \frac{6850}{10} \, \text{cm} = 685 \, \text{cm}

  5. 48306 m = ____ km
    To convert meters (m) to kilometers (km), divide by 1000:
    48306m=483061000km=48.306km48306 \, \text{m} = \frac{48306}{1000} \, \text{km} = 48.306 \, \text{km}


Would you like further details on any of these conversions? Here are some related questions for further practice:

  1. Convert 5.6 km to meters.
  2. Convert 2340 mm to centimeters.
  3. Convert 15.75 cm to millimeters.
  4. Convert 1.2 m to centimeters.
  5. Convert 120000 mm to kilometers.

Tip: Always remember the factor by which you multiply or divide for unit conversions:

  • mmcmmkm\text{mm} \leftrightarrow \text{cm} \leftrightarrow \text{m} \leftrightarrow \text{km} are all powers of 10!

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Metric System

Formulas

1 mm = 0.001 m
1 cm = 0.01 m
1 cm = 10 mm
1 m = 0.001 km

Theorems

Conversion between different metric units

Suitable Grade Level

Grades 5-7