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Converting units of measure

Grade 6 · Math · Free lesson

Hi there! Today we are going to learn how to convert measurements like inches, feet, and yards. It is like translating words from one language to another!

Every character in a story has a goal, and so do we in math! To change a larger unit to a smaller unit, we multiply. For example, since one foot has 12 inches, a three-foot board is 36 inches long.

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When we convert a smaller unit to a larger unit, we do the opposite. We divide! If you have 24 inches of ribbon, you divide by 12 to find out that you have exactly 2 feet of ribbon.

24 Inches 2 Feet Divide by 12

Think of units like characters interacting. A yard is much bigger than an inch. To convert yards directly to inches, we multiply by 36 because there are 36 inches in every single yard.

1 Yard 12 Inches 12 Inches 12 Inches Total = 36 Inches
✏️ Worked example

Convert 5 yards into feet. Walk through the conversion step by step.

  1. Identify the starting unit (yards) and the target unit (feet).
  2. Recall the conversion rate: 1 yard equals 3 feet.
  3. Decide whether to multiply or divide. Since yards are larger than feet, we multiply.
  4. Multiply the number of yards (5) by the conversion factor (3).
  5. Calculate 5 times 3 to get 15. So, 5 yards is equal to 15 feet.
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