How should you group the following expression to make it easiest to add? 18 − 949 + 79 − 8(1 point) Responses (8 − 18) + (49 + 79) Left Parenthesis 8 minus 18 Right Parenthesis plus Left Parenthesis Start Fraction 4 over 9 End Fraction plus Start Fraction 7 over 9 End Fraction Right Parenthesis (18 − 8 − 9) Left Parenthesis 18 minus 8 minus 9 Right Parenthesis (18 − 9 − 8) + (−49 + 79) 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 (18 − 8) + (−949 + 79)
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To make the expression \( 18 - 949 + 79 - 8 \) easiest to add, you should group the terms that will simplify the calculations when combined.
The most efficient grouping here is to combine the terms that create smaller, manageable sums:
\[ (18 - 8) + (-949 + 79) \]
Calculating inside the parentheses:
Putting it together:
\[ 10 - 870 \]
So, the optimal grouping is \( (18 - 8) + (-949 + 79) \).
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