lesson

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Imagine you have a ribbon that is 2 meters long, and you cut off 45 centimeters. If you just subtract 2β45, you get β43 meters of ribbon!
That negative answer sounds silly because the numbers are speaking two different measurement languages. You can never add, subtract, or compare numbers until they share the same unit of measurement.
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How do you decide which unit to change before you start solving? Let's break down the rule.
The Golden Rule: Convert First
Before you do any arithmetic, scan every single number in the word problem to check its unit. A common unit is a single, matching measurement unit that all values are converted into before calculating.
To pick the best unit, check the question first: if it asks for 'answers in grams,' convert everything to grams. If no unit is requested, converting to the smaller unit usually prevents messy decimals.
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What happens when a single problem throws three different units at you all at once?
Length: Combining Three Different Units
A carpenter joins three wood boards together: Board A is 1.2Β m, Board B is 85Β cm, and Board C is 450Β mm. What is the total length of the bench in centimeters?
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Since the question asks for centimeters, convert Board A by multiplying by 100 (1.2Β m=120Β cm) and Board C by dividing by 10 (450Β mm=45Β cm). Now that all three are in centimeters, add them up: 120+85+45=250Β cm.