2022-04-23 13:26:53 +01:00
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---
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2022-09-06 13:26:44 +01:00
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tags:
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- prealgebra
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2022-04-23 13:26:53 +01:00
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---
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2024-10-18 20:00:02 +01:00
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# Formal conventions
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2022-04-23 13:26:53 +01:00
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## Grouping symbols
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2024-02-02 15:58:13 +00:00
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We use parentheses to delimit the part of an expression we want evaluated first.
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If grouping symbols are nested, evaluate the expression in the innermost pair of
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grouping symbols first,
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2022-04-23 13:26:53 +01:00
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## Writing mathematical statements: placement of $=$
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2024-02-02 15:58:13 +00:00
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We only write one equals sign per line. For example, if we are resolving
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parentheses:
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2022-04-23 13:26:53 +01:00
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2024-10-18 20:00:02 +01:00
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$$
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\begin{equation} \begin{split} 2 + \[3 + (4+5)\] = 2 + \[3 +9\] \\ = 2 + 12
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\\ = 14 \end{split} \end{equation}
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$$
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2022-04-23 13:26:53 +01:00
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2024-02-02 15:58:13 +00:00
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We call parentheses (`()`), brackets (`[]`) and braces `{}`) grouping symbols.
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When groupings (say parentheses) are used, the expression inside any pair of
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parentheses must be evaluated first.
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