Unit 6, Lesson 18
Subtraction in Equivalent Expressions
Grade 7
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Write two expressions for the area of the big rectangle.
Use the distributive property to write an expression that is equivalent to
In previous lessons, we learned that subtracting a number gives the same result as adding its opposite. We can apply this relationship to rewrite an expression with subtraction so it uses only addition. Then we can make use of the properties of addition that allow us to add and group in any order. This can make calculations simpler. Example:
We can also organize the work of multiplying signed numbers in expressions. The product
Multiply
Reassemble the parts to get the expanded version of the original expression:
Terms are the parts of an expression that are added together. They can be a single number, a variable, or a number and a variable that are multiplied together.
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