what mathematical symbol is processed first in the following formula? =((a3 h4)/g7)*5
What mathematical symbol is processed first in the following formula? =((a3 h4)/g7)*5
Answer:
When analyzing a formula like this, it’s essential to apply the rules of order of operations, typically summarized by the acronym PEMDAS:
- Parentheses
- Exponents (or powers and roots)
- Multiplication and Division (from left to right, as they appear)
- Addition and Subtraction (from left to right, as they appear)
In the formula =((a3 h4)/g7)*5
, let’s break it down:
-
Parentheses: Operations inside parentheses are done first. Here,
(a3 h4)
is inside the parentheses. -
Operations Inside Parentheses: If there are multiple operations inside the parentheses, perform the operations based on the order of operations rules.
- Within the parentheses
(a3 h4)
, we assume this is a multiplication operation unless specified otherwise. Assuminga3
andh4
are numerical values but the multiplication operation itself is implied here. Thus, multiplication betweena3
andh4
occurs first within the parentheses.
- Within the parentheses
-
Division: After performing the operation inside the parentheses, division by
g7
comes next. -
Multiplication Outside Parentheses: Finally, multiply the result of the previous operation by
5
.
Given the formula, the first mathematical operation processed is the multiplication within the parentheses: a3 * h4
.
So, the first symbol processed is the multiplication symbol *
inside the parentheses (a3 h4)
.