The order of in which the operation in the expression 9 + 3·2² - 1·4, indicates;
3. (a) The value of the expression, 9 + 3·2² - 1·4 is 17
(b) The left and right side of the grouping symbol (the left side) should be placed between the number 3 and 2 and then (the right side should be placed between 1 and 4, so that we get;
9 + 3 × (2² - 1) × 4 = 45
<h3>What is the order of operations in mathematics?</h3>
The order of operations is a rule or guide, that states the sequence in which the operations in an expression are to be performed.
3. The specified expression is; 9 + 3·2² - 1·4
(a) The value of the expression 9 + 3·2² - 1·4 can be found using the order of operation of PEMDAS, which stands for; operations from left to right, items in Parenthesis, then Exponents, followed by Multiplication, and Division first then Addition and Subtraction of the terms from left to right as follows;
Therefore;
9 + 3·2² - 1·4 = 9 + 3 × 4 - 1 × 4 = 9 + 12 - 4 = 17
- The value of the expression, 9 + 3·2² - 1·4, is 17
(b) A grouping symbol is the parenthesis.
The location of the parenthesis in the specified expression so that the value is 45 can be found as follows;
Placing the grouping symbol between 3 and 2 and the right parenthesis between 1 and 4, we get;
9 + 3·2² - 1·4 = 9 + 3·(2² - 1)·4 = 9 + 3 × (2² - 1) × 4
9 + 3 × (2² - 1) × 4 = 9 + 3 × (3) × 4 = 9 + 36 = 45
The location to place the grouping symbol so that the value of the expression is 45 is between 3 and 2 and between 1 and 4.
Learn more about order of operations here:
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