General
General
Easy
Question
Write the equivalent expressions for the following:
10(m + 10)
- 10m + 100
- 10m
- 100
- 10m +10
Hint:
We are given an algebraic expression. An algebraic expression consists of variables and constants. A variable is a quantity that doesn’t have any fixed value. A constant is a quantity with a fixed value. For this question, we have to perform the operation using the properties and find the equivalent expression.
The correct answer is: 10m + 100
The given expression is 10(m + 10)
The above expression has one variable ‘m’.
The terms inside the bracket are unlike terms. Unlike terms are the terms with different variables or a variable and constant.
As the terms inside the bracket are unlike term no further operation is possible
But we can use the distributive property. Distributive property: It states the quantity outside the bracket is distributed equally to the terms inside the bracket.
So the equation becomes
10(m +10) = 10m + 10(10)
10(m +10) = 10m + 100
Therefore, the equivalent expression is 10m + 100.
For such questions, we should the properties required to solve algebraic expression.
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