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Principles of Algebra - PEMDAS











































Simplify the following expression

y - 7 - (-4 - y)

use the PEMDAS order of operations (parentheses, exponents, multiplication, division, addition, subtraction)

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Mar 06, 2011
Principles of Algebra - PEMDAS
by: Staff


The question:

Simplify

y-7-(-4-y)



The answer:

y-7-(-4-y)


To simplify this expression, use the PEMDAS order of operations.

PEMDAS order tells you what to do first, second, . . . etc.

PEMDAS stands for: parentheses, exponents, multiplication, division, addition, subtraction

Step 1: evaluate PARENTHESES

PEMDAS order of evaluation: PARENTHESES, exponents, multiplication, division, addition, subtraction

No change inside parentheses



Step 2: evaluate EXPONENTS


PEMDAS order of evaluation: parentheses, EXPONENTS, multiplication, division, addition, subtraction

There area no exponents to evaluate.


Step 3: MULTIPLICATION


PEMDAS order of evaluation: parentheses, exponents, MULTIPLICATION, division, addition, subtraction

There is one multiplication process in your expression: -(-4-y)

-(-4-y) = (-1)*(-4-y)

Using the distributive law:

(-1)*(-4-y) = (-1)*(-4) + (-1)*(-y)

= 4 + y

At this stage in the simplification process, your expression looks like this: y - 7 + 4 + y


Step 4: DIVISION


PEMDAS order of evaluation: parentheses, exponents, multiplication, DIVISION, addition, subtraction

There are no parts of your expression which require division.


Step 5: evaluate ADDITION & SUBTRACTION

PEMDAS order of evaluation: parentheses, exponents, multiplication, division, ADDITION, SUBTRACTION

y - 7 + 4 + y

= y + y – 7 + 4

= 2y – 7 + 4

= 2y – 3


The final answer is: 2y – 3


The entire, step by step process of simplification looks like this:

y – 7 - (-4 -y)

y – 7 + (-1)*(-4-y)

y – 7 + 4 + y

2y – 7 + 4

2y – 3



Thanks for writing.


Staff
www.solving-math-problems.com



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