Properties and Rules – Grouping Symbols

Grouping Symbols

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Students learn that when a problem contains parentheses within brackets within braces, such as 100 - {[5 x (3 + 2)] + [(8 + 4)/2]}, the first step is to simplify inside the innermost grouping symbol, the parentheses, to get 100 - {[5 x (5)] + [(12)/2]}. Next, move outward to the brackets, to get 100 / {[25] + [6]}. Finally, move outward to the braces, to get 100 - {31}, which simplifies to 69. Note that a division bar has the same effect as a set of parentheses in that it groups numbers together.
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