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Chapter 2: Q42. (page 66)

Evaluate the expression. Justify each of your steps.

44鈥�鈥�+鈥�鈥�19鈥�鈥�+鈥�鈥�16鈥�鈥�+鈥�鈥�31

Short Answer

Expert verified

44+19+16鈥�鈥�+鈥�鈥�31鈥�鈥�=鈥�鈥�110.

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 – Associative Property of Addition of Real Numbers: 

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

Associative property of Addition: (a + b) + c = a + (b + c)

If you are adding three real numbers, the sum is always the same regardless of their grouping.

Example: (11+12) + 13 = 11 + (12+13) = 36

03

Step-3 – Evaluate the expression, Justify each of your steps. 44 + 19 + 16 + 31 

Associative property of Addition states, if you are adding three or four real numbers, the sum is always the same regardless of their grouping.

Name of the property for this equation 4 + (3 + 9) = (4 + 3) + 9 is Associative property of Addition.

According to the above property, we can evaluate the expression:

44+19+16鈥夆赌�+鈥夆赌�31鈥夆赌�(44鈥夆赌�+鈥夆赌�19鈥�)+鈥夆赌�(16+31)鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆��(Associative鈥夆赌塒roperty鈥夆赌塷f鈥夆赌堿ddition)鈥夆赌�63鈥夆赌�+鈥夆赌�(16+31)鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆��(鈥夆赌塧ddition鈥夆赌�)(63+16)鈥夆赌�+鈥夆赌�31鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌夆�夆赌�(Associative鈥夆赌塒roperty鈥夆赌塷f鈥夆赌堿ddition)79鈥夆赌�+鈥夆赌�31鈥夆赌�=鈥夆赌�110

44+19+16鈥夆赌�+鈥夆赌�31鈥夆赌�=鈥夆赌�120

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Most popular questions from this chapter

Use the distributive property to write an equivalent variable expression.

3鈥�(鈥�鈥�y鈥�鈥�+鈥�鈥�9鈥�鈥�)

Use the distributive property to evaluate the expression.

(鈥�-鈥�2n-3鈥�)(-8)

Use the distributive property to write an equivalent variable expression.

-鈥�2鈥�鈥�(6y-4)

Find the area of the rectangle or triangle.

Simplify the expression.

x+6+11
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