How should you group the following expression to make it easiest to add? 18 − 949 + 79 − 8(1 point)
Responses
A. (18 − 9 − 8) + (−4/9 + 7/9)
Left Parenthesis 18 minus 9 minus 8 Right Parenthesis plus Left Parenthesis negative Start Fraction 4 over 9 End Fraction plus Start Fraction 7 over 9 Right Parenthesis
B. (18 − 8 − 9)
Left Parenthesis 18 minus 8 minus 9 Right Parenthesis
C. (18 − 8) + (−9 4/9 + 7/9)
Left Parenthesis 18 minus 8 Right Parenthesis plus Left Parenthesis negative 9 Start Fraction 4 over 9 End Fraction plus Start Fraction 7 over 9 End Fraction Right Parenthesis
D. (8 − 18) + (4/9 + 7/9)
B. (18 − 8 − 9) Left Parenthesis 18 minus 8 minus 9 Right Parenthesis
To group the expression in a way that makes it easiest to add, you should choose option B: (18 − 8 − 9). This grouping allows you to subtract 8 from 18 and then subtract 9 from the result, making it simpler to perform the addition.
To group the expression in a way that makes it easiest to add, we need to identify terms that can be combined.
Let's analyze the options:
A. (18 − 9 − 8) + (−4/9 + 7/9):
This option groups the terms (18 − 9 − 8) together and the terms (−4/9 + 7/9) together. It simplifies the expression by subtracting and adding fractions separately.
B. (18 − 8 − 9):
This option groups the terms (18 − 8 − 9) together. It simplifies the expression by subtracting the numbers.
C. (18 − 8) + (−9 4/9 + 7/9):
This option groups the terms (18 − 8) together and the terms (−9 4/9 + 7/9) together. It simplifies the expression by subtracting and adding fractions separately.
D. (8 − 18) + (4/9 + 7/9):
This option groups the terms (8 − 18) together and the terms (4/9 + 7/9) together. It simplifies the expression by subtracting and adding fractions separately.
To make it easiest to add, we want to group the terms that can be combined. In this case, option B is the correct choice. By grouping (18 − 8 − 9) together, we can easily subtract the numbers and then add them to get the final answer.