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3x2 if it is in parentheses
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The algebraic expression for "4 decreased by the quotient of a number and 7" can be represented as 4 - (x/7), where x is the variable representing the number. The expression first calculates the quotient of the number and 7 by dividing x by 7, and then subtracts that quotient from 4. This expression captures the mathematical operation described in the question.
The expression for the calculation 60 divided by 5 added to 11 is (60 ÷ 5) + 11. First, you perform the division operation which is 60 ÷ 5 = 12. Then, you add 11 to the result of the division, which gives you 12 + 11 = 23. So, the final expression simplifies to 23.
use PEMDAS this is called the order of operations and is an acronym. here is what is stands for P=Parenthesis E=Exponents M=Multiplication D=Division A=Addition S=Subtraction You have to do whatever is in the parenthesis first then go onto the exponents... then go to the next operation until all things are simplified. Then you can isolate you variable and find the value of it in the expression.
Expressions within parenthases (brackets) should be done first. Then each operation should be done in turn from left to right. Therefore 4+7x(5+4) would be 4+7x9 and then 11x9 =99.
There is no known origin of the order of operations or PEMDAS. PEMDAS is considered as the proper way to tackle a given mathematical expression in terms of what operation should be performed first.
parentheses
To determine which operation should be performed first in an expression, you should follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). First, check for any calculations within parentheses; if none exist, look for any exponents, then proceed to multiplication or division before finally handling addition or subtraction. Always work from left to right within the same level of the hierarchy.
Subtraction is typically not prioritized as the first operation in mathematical expressions; instead, operations follow the order of operations (PEMDAS/BODMAS). However, in specific contexts like evaluating an expression with parentheses that dictate the operation's sequence, subtraction can be the first operation executed. For instance, in the expression ( (3 - 2) + 5 ), subtraction is performed first due to the parentheses. In general, though, it is essential to follow the established order of operations for clarity.
In an expression with both multiplication and division and no parentheses, the operations are performed from left to right. This means that if multiplication comes before division, it will be executed first, and vice versa. Essentially, the order in which these operations appear in the expression determines their sequence of execution.
We'll answer this generally, since you haven't provided an expression. A common technique for remembering the order of operations is the abbreviation "PEMDAS", which is turned into the phrase "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".
An operation which when performed multiple times, has no further effect on Its subject after the first time it is performed. - Nacolepsy
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In a numerical expression, the order of operations is indicated using parentheses to group terms, which shows what should be calculated first. According to the standard order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), calculations inside parentheses are performed before any other operations. Additionally, using exponents clearly indicates that those calculations should be done prior to multiplication, division, addition, or subtraction.
The evaluate a algebraic math expression you first must substitute a number for each variable. Then you must perform the operation in the correct order.
Multiplications and divisions from left to right.