Which expression is equivalent to 0.38m+m+0.84m ?
1+1.22m
-0.54m
m+1.22
2.22m
The correct answer and explanation is:
The correct answer is 2.22m.
Explanation:
To simplify the expression 0.38m + m + 0.84m, start by identifying like terms. Like terms are terms that have the same variable, in this case, the variable m. The terms 0.38m, m, and 0.84m all have m as their variable, so they can be added together.
First, write the expression with all the terms involving m: 0.38m+m+0.84m0.38m + m + 0.84m
Now, express m as 1m to make it clearer: 0.38m+1m+0.84m0.38m + 1m + 0.84m
Next, add the coefficients of m together. The coefficients are the numbers multiplying m: 0.38, 1, and 0.84. 0.38+1+0.84=2.220.38 + 1 + 0.84 = 2.22
So the expression simplifies to: 2.22m2.22m
Thus, 0.38m + m + 0.84m is equivalent to 2.22m.
Why other options are incorrect:
- 1 + 1.22m: This option adds 1 as a constant, which doesn’t fit because there’s no constant term in the original expression.
- -0.54m: This option incorrectly subtracts from m, which is not the case in the original expression.
- m + 1.22: This option includes a constant 1.22, but there is no constant in the original expression, so it’s not correct.
Therefore, the correct simplified form of the expression is 2.22m.