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Chapter 2: Q5. (page 64)

Simplify the expression.

m+5+9

Short Answer

Expert verified

m+5+9鈥�鈥�=鈥�鈥�m+13.

Step by step solution

01

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

02

Step-2 – Commutative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Commutative Property of Addition:

Property: a + b = b + a

If you add two real numbers in any order, the sum will always be the same.

Example: 5 + 2 = 2 + 5 = 7

03

Step-3 – Evaluate the expression

Commutative property of Addition states, if you add two real numbers in any order, the sum will always be the same.

Evaluate the expression:

To evaluate the expressionm+5+9, the term m is a variable. The terms 5and 9 are constants.

Using the Commutative property of addition, adding like terms,

m+5+9m+(5+9)(Makeagroupwithconstantterms)m+(9+5)(CommutativePropertyofAddition)m+13

m+5+9鈥�鈥�=鈥�鈥�m+13

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Most popular questions from this chapter

Extended Problem Solving For a cylindrical corn silo with the dimensions shown, the weight W (in pounds) of the corn silage inside is typically given by W鈥�鈥�=鈥�鈥�4400鈥�鈥�(鈥�鈥�40鈥�鈥�-鈥�鈥�d), where d is the distance (in feet) from the top of the corn to the top of the silo.

a. Use the distributive property to write the given formula without parentheses.

b. Calculate Suppose d 15 feet. What is the weight of the corn in the silo?

c. Interpret and apply how many days will the amount of corn from part (b) last if it is used to feed a herd of 100 cows and each cow eats 10 pounds of corn a day?

In Exercises 1鈥�3, evaluate the expression. Justify each of your steps.

(17鈥�+36鈥�)鈥�鈥�+13鈥�鈥�

Evaluate the expression using the distributive property and mental math.

4鈥�鈥�(105)

Perform the indicated operation.

-19鈥�鈥�+鈥�鈥�12

Evaluate the expression using the distributive property and mental math.

-鈥�5鈥�鈥�(396)
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