How should you group the following expression to make it easiest to add? 18 − 949 + 79 − 8
A. (18 − 9 − 8) + (−4/9 + 7/9)
B. (18 − 8 − 9)
C. (8 − 18) + (4/9 + 7/9)
D. (18 − 8) + (−9 4/9 + 7/9)
The correct grouping to make it easiest to add is:
B. (18 − 8 − 9)
By grouping the subtraction terms together, it simplifies the expression and makes it easier to add.
To group the expression in a way that makes it easiest to add, we should group together terms that have the same sign or terms that have common factors or denominators.
Let's analyze the options:
A. (18 − 9 − 8) + (−4/9 + 7/9)
In this option, we have grouped the constants and grouped the fractions. However, it would be easier to add if we had grouped like terms together.
B. (18 − 8 − 9)
In this option, we have grouped all the constants together. This makes it easier to add as we are left with only one addition operation.
C. (8 − 18) + (4/9 + 7/9)
In this option, we have grouped the constants and grouped the fractions. However, it would be easier to add if we had grouped like terms together.
D. (18 − 8) + (−9 4/9 + 7/9)
In this option, we have grouped the constants and grouped the fractions. However, the mixed number could be simplified to make it easier to add.
Therefore, the answer is B. (18 − 8 − 9).