Measurement Operations
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Questions and Answers

What is a similarity between multiplying and dividing measurements?

  • You cannot multiply or divide measurement units that are completely different.
  • You need to have the same measurement units.
  • You can multiply or divide measurement units that are completely different. (correct)
  • You can multiply or divide measurement units in the same way you add and subtract them.
  • What happens to the measurement units when you multiply a measurement by a number?

  • They are converted to a different unit.
  • They cancel out.
  • They are converted to the same unit.
  • They stay the same. (correct)
  • What should you do if you have a measurement that consists of both feet and inches and you need to divide?

  • Cancel out one unit.
  • Change one unit to the other.
  • Leave the measurement as it is.
  • Convert it into a decimal. (correct)
  • What is the result of dividing 6 inches by 3?

    <p>2 inches</p> Signup and view all the answers

    What is the unit of the answer when dividing 70 miles by 2 hours?

    <p>Miles per hour</p> Signup and view all the answers

    Why do you keep the measurement units as a fraction when finding the speed of a car?

    <p>Because it makes more sense in terms of algebra.</p> Signup and view all the answers

    What happens to the measurement units when dividing different measurement units?

    <p>They are converted to the same unit.</p> Signup and view all the answers

    What is an example of multiplying two different measurement units?

    <p>Multiplying 1 meter by 1 pound.</p> Signup and view all the answers

    Why do you convert measurement units to the same unit when adding and subtracting?

    <p>Because it allows you to perform the operation correctly.</p> Signup and view all the answers

    What happens to the units when you divide a measurement by a number?

    <p>They stay the same.</p> Signup and view all the answers

    Study Notes

    Measurements Are Like Variables

    • Measurements can be treated as variables when performing operations such as adding, subtracting, multiplying, and dividing.
    • This is important in real-life problems that involve measurements, such as in restaurant management.

    Adding Measurements

    • To add measurements, ensure that the measurement units are the same.
    • If the units are the same, add the numbers together, e.g., 3 feet + 4 feet = 7 feet.
    • If the units are different, convert one unit to match the other before adding, e.g., 3 feet + 36 inches = 3 feet + 3 feet = 6 feet.

    Subtracting Measurements

    • To subtract measurements, ensure that the measurement units are the same.
    • If the units are the same, subtract the numbers together, e.g., 10 feet - 7 feet = 3 feet.
    • If the units are different, convert one unit to match the other before subtracting, e.g., 10 feet - 120 inches = 10 feet - 10 feet = 0 feet.

    Multiplying Measurements

    • To multiply measurements, ensure that the measurement units are in the same unit or can be converted to the same unit.
    • Multiply the numbers together, e.g., 7.5 feet * 10 feet = 75 square feet.
    • The resulting unit will be the product of the original units, e.g., feet * feet = square feet.
    • Unlike addition and subtraction, different measurement units can be multiplied together.

    Dividing Measurements

    • To divide measurements, ensure that the measurement units are in the same unit or can be converted to the same unit.
    • Divide the numbers together, e.g., 6 inches ÷ 3 = 2 inches.
    • The resulting unit will stay the same if dividing by a number, but may change if dividing by a different unit, e.g., 70 miles ÷ 2 hours = 35 miles per hour.
    • Unlike addition and subtraction, different measurement units can be divided together.

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    Learn how to perform operations like addition and multiplication on measurements, a crucial skill in real-life problems, such as interior design and more.

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