Convert Between Units: Grade 4 Math Questions with Step-by-Step Solutions

This page is designed to help students, parents, and teachers master the topic of converting between different units through carefully selected practice questions and step-by-step solutions with explanations. Each solution provides the reasoning behind every step, helping learners build a strong foundation in measurement and problem-solving.

The questions on this page cover essential topics related to unit conversions, including:

  1. Length conversions between meters, centimeters, millimeters, and kilometers
  2. Capacity conversions between liters and milliliters
  3. Notation and conversion factors for metric units
  4. Combined operations involving addition and unit conversion

    5. Notation Used in This Page

    1. m = meter
    2. cm = centimeter
    3. mm = millimeter
    4. km = kilometer
    5. l = liter
    6. ml = milliliter

      7. Factors of Conversion

      1. \(1 \text{ m} = 100 \text{ cm}\)
      2. \(1 \text{ m} = 1000 \text{ mm}\)
      3. \(1 \text{ l} = 1000 \text{ ml}\)
      4. \(1 \text{ km} = 1000 \text{ m}\)

Questions and Solutions

  1. Calculate the conversion: \[10 \text{ m} = ?\]
    1. \(10,000 \text{ cm}\)
    2. \(1000 \text{ cm}\)
    3. \(100 \text{ cm}\)
    4. \(100,000 \text{ cm}\)
      5. View Step-by-Step Solution

      Problem: Convert \(10 \text{ m}\) to centimeters.

      Explanation: Since \(1 \text{ m} = 100 \text{ cm}\), multiply the number of meters by 100:

      \(10 \times 100 = 1000 \text{ cm}\).

      Therefore, the correct option is B.

    5. Calculate the conversion: \[2 \text{ km} = ?\]
      1. \(200 \text{ m}\)
      2. \(200 \text{ mm}\)
      3. \(2,000 \text{ m}\)
      4. \(20 \text{ cm}\)
        5. View Step-by-Step Solution

        Problem: Convert \(2 \text{ km}\) to meters.

        Explanation: Since \(1 \text{ km} = 1000 \text{ m}\), multiply the number of kilometers by 1000:

        \(2 \times 1000 = 2,000 \text{ m}\).

        Therefore, the correct option is C.

      5. Calculate the conversion: \[2 \text{ l} = ?\]
        1. \(20 \text{ ml}\)
        2. \(2000 \text{ ml}\)
        3. \(200 \text{ ml}\)
        4. \(2,000 \text{ ml}\)
          5. View Step-by-Step Solution

          Problem: Convert \(2 \text{ l}\) to milliliters.

          Explanation: Since \(1 \text{ l} = 1000 \text{ ml}\), multiply the number of liters by 1000:

          \(2 \times 1000 = 2000 \text{ ml}\).

          Therefore, the correct option is B.

        5. Calculate the conversion: \[5 \text{ m} = ?\]
          1. \(500 \text{ cm}\)
          2. \(50 \text{ km}\)
          3. \(5,000 \text{ cm}\)
          4. \(50 \text{ cm}\)
            5. View Step-by-Step Solution

            Problem: Convert \(5 \text{ m}\) to centimeters.

            Explanation: Since \(1 \text{ m} = 100 \text{ cm}\), multiply the number of meters by 100:

            \(5 \times 100 = 500 \text{ cm}\).

            Therefore, the correct option is A.

          5. Calculate the conversion: \[3000 \text{ ml} = ?\]
            1. \(30 \text{ l}\)
            2. \(3 \text{ l}\)
            3. \(0.3 \text{ l}\)
            4. \(1 \text{ l}\)
              5. View Step-by-Step Solution

              Problem: Convert \(3000 \text{ ml}\) to liters.

              Explanation: Since \(1 \text{ l} = 1000 \text{ ml}\), divide the number of milliliters by 1000:

              \(3000 \div 1000 = 3 \text{ l}\).

              Therefore, the correct option is B.

            5. Calculate the conversion: \[600 \text{ cm} = ?\]
              1. \(6 \text{ m}\)
              2. \(6 \text{ km}\)
              3. \(6 \text{ mm}\)
              4. \(0.6 \text{ km}\)
                5. View Step-by-Step Solution

                Problem: Convert \(600 \text{ cm}\) to meters.

                Explanation: Since \(1 \text{ m} = 100 \text{ cm}\), divide the number of centimeters by 100:

                \(600 \div 100 = 6 \text{ m}\).

                Therefore, the correct option is A.

              5. Calculate the conversion: \[10 \text{ km} = ?\]
                1. \(100 \text{ m}\)
                2. \(1000 \text{ m}\)
                3. \(10,000 \text{ m}\)
                4. \(100,000 \text{ m}\)
                  5. View Step-by-Step Solution

                  Problem: Convert \(10 \text{ km}\) to meters.

                  Explanation: Since \(1 \text{ km} = 1000 \text{ m}\), multiply the number of kilometers by 1000:

                  \(10 \times 1000 = 10,000 \text{ m}\).

                  Therefore, the correct option is C.

                5. Calculate the conversion: \[10 \text{ m} = ?\]
                  1. \(100,000 \text{ mm}\)
                  2. \(1,000 \text{ mm}\)
                  3. \(100 \text{ mm}\)
                  4. \(10,000 \text{ mm}\)
                    5. View Step-by-Step Solution

                    Problem: Convert \(10 \text{ m}\) to millimeters.

                    Explanation: Since \(1 \text{ m} = 1000 \text{ mm}\), multiply the number of meters by 1000:

                    \(10 \times 1000 = 10,000 \text{ mm}\).

                    Therefore, the correct option is D.

                  5. Calculate the sum: \[1 \text{ m} + 200 \text{ cm} = ?\]
                    1. \(1.2 \text{ cm}\)
                    2. \(300 \text{ cm}\)
                    3. \(201 \text{ cm}\)
                    4. \(1200 \text{ cm}\)
                      5. View Step-by-Step Solution

                      Problem: Evaluate \(1 \text{ m} + 200 \text{ cm}\) in centimeters.

                      Explanation: Convert \(1 \text{ m}\) to centimeters first: \(1 \text{ m} = 100 \text{ cm}\). Then add them together:

                      \(100 \text{ cm} + 200 \text{ cm} = 300 \text{ cm}\).

                      Therefore, the correct option is B.

                    5. Calculate the sum: \[1 \text{ km} + 600 \text{ m} = ?\]
                      1. \(1600 \text{ km}\)
                      2. \(300 \text{ cm}\)
                      3. \(601 \text{ cm}\)
                      4. \(1600 \text{ m}\)
                        5. View Step-by-Step Solution

                        Problem: Evaluate \(1 \text{ km} + 600 \text{ m}\) in meters.

                        Explanation: Convert \(1 \text{ km}\) to meters first: \(1 \text{ km} = 1000 \text{ m}\). Then add them together:

                        \(1000 \text{ m} + 600 \text{ m} = 1600 \text{ m}\).

                        Therefore, the correct option is D.

Links and References

Home Page