Question
Write the equivalent expressions for the following:
100 + 0x
- 100
- 100 + 0
- 10
- Both a and b but not c
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: Both a and b but not c
The given expression is 100 + 0x.
The above expression has one variable: ‘x’.
In this question, the variable x is multiplied by a zero.
And we know that anything multiplied by zero gives the value zero.
So the value of expression becomes
100 + 0x = 100
Now, anything added to the zero gives the same value.
Therefore, we can also write the given expression as
100 +0x = 100 + 0
Let’s check the third option too.
It says the value of the expression is 10. It is not possible as 100 is a constant value. It cannot change unless it’s been operated on. So we have to rule out option '10’.
So, there are two equivalent expressions of the given expression.
So the option which is ' Both a and b but not c’, is the right option.
We have to be careful about the variables. And we should know the basic properties required to solve algebraic expression.
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