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Integers

by Kellz
(Miami, FL)











































28-65/5+ -26

Simplify this integer expression:

Use the PEMDAS order of operations to evaluate the expression in proper mathematical sequence.

Comments for Integers

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Oct 02, 2011
Integer Expression
by: Staff


The question:

by Kellz
(Miami, FL)


28-65/5+ -26


answer:

28 - 65/5 + -26



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 parentheses to evaluate.


Step 2: evaluate EXPONENTS


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

There are no exponents to evaluate.


Step 3: MULTIPLICATION


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

There are operations that require multiplication.




Step 4: DIVISION


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

There is one division operation

65/5

= 13


Step 5: evaluate ADDITION & SUBTRACTION

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

28 - 65/5 + -26

= 28 - 13 + -26

= 28 - 13 - 26

= -11



The final answer is: -11







This problem also illustrates how important it is to include parentheses to clarify the order of operations.



To ensure every reader understands the expression, it should have been written

28 - (65/5) + (-26)

Instead of

28 - 65/5 + -26


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A final note:

You can CHECK YOUR WORK with a “SMART” CALCULATOR rather than an ordinary (basic) calculator.


A "Smart" Calculator (Formula Calculator) automatically takes into account PEMDAS order.

The person using the calculator does not need to be concerned about which numbers to evaluate 1st, 2nd, 3rd, etc.

This is not what most people use. Most people use a basic calculator.

I call basic calculators “dumb calculators” because they rely on the person using the calculator to input the numbers in PEMDAS order. If the person using the calculator inputs the numbers incorrectly, a basic calculator will give an incorrect answer.

You can download a FREE SMART CALCULATOR at:

http://www.zoesoft.com/console-calculator/


If you decide to check the work for your problem using a smart calculator, input the entire expression exactly as you submitted it to me:

28 - 65/5 + -26

You will see that a smart calculator it will automatically calculate the proper answer using the correct PEMDAS order.

You still need to know and understand how PEMDAS works because you will use variables (instead of numbers) in your classes. However, a smart calculator will help you check your work when you evaluate numerical expressions.




Thanks for writing.

Staff
www.solving-math-problems.com



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