Math Problem Statement

Convert these measurements to centimeters and square centimeters.

Solution

The image contains a mathematical problem involving unit conversion. Let's focus on the text clearly visible:

  1. Question 9: Convert these measurements to centimeters:

    • a) 73.1 mm
    • b) 0.0012 km
  2. Question 10: Convert these measurements to cm²:

    • a) 721 mm²
    • b) 2.006 m²

Let's solve these:

Question 9: Convert to centimeters

  • a) 73.1 mm
    Since 1 cm = 10 mm,
    73.1mm=73.110=7.31cm73.1 \, \text{mm} = \frac{73.1}{10} = 7.31 \, \text{cm}.

  • b) 0.0012 km
    Since 1 km = 100,000 cm,
    0.0012km=0.0012×100,000=120cm0.0012 \, \text{km} = 0.0012 \times 100,000 = 120 \, \text{cm}.

Question 10: Convert to square centimeters

  • a) 721 mm²
    Since 1cm2=100mm21 \, \text{cm}^2 = 100 \, \text{mm}^2,
    721mm2=721100=7.21cm2721 \, \text{mm}^2 = \frac{721}{100} = 7.21 \, \text{cm}^2.

  • b) 2.006 m²
    Since 1m2=10,000cm21 \, \text{m}^2 = 10,000 \, \text{cm}^2,
    2.006m2=2.006×10,000=20,060cm22.006 \, \text{m}^2 = 2.006 \times 10,000 = 20,060 \, \text{cm}^2.


Would you like more details or further clarifications on any of these conversions?

Here are some related questions you could explore:

  1. How do you convert square kilometers to square centimeters?
  2. What is the conversion factor between square millimeters and square meters?
  3. How can you convert between cubic units, like cubic centimeters to cubic meters?
  4. What is the relationship between meters and decimeters in area measurements?
  5. How do you handle conversion between units in different dimensions (e.g., length, area, volume)?

Tip: Always keep track of the powers of 10 when converting between squared or cubed units!

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Length
Area

Formulas

1 cm = 10 mm
1 km = 100,000 cm
1 cm² = 100 mm²
1 m² = 10,000 cm²

Theorems

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Suitable Grade Level

Grades 6-8