Q2. In Exercises 1鈥�3, evaluate the... [FREE SOLUTION]

91影视

Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 2: Q2. (page 64)

In Exercises 1鈥�3, evaluate the expression. Justify each of your steps.
$8 (鈭� 3) (5)$

Short Answer

Expert verified

$8 (鈭� 3) 5 鈥夆赌� = 鈥夆赌� 鈭� 120$

Step by step solution

Step-1 – What are real numbers?

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

Step-2 – Associative Property of Multiplication of Real Numbers:

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

Associative property of Multiplication

Property: $(a鈥夆赌� 路鈥夆赌塨)鈥夆赌� 路鈥夆赌塩 = a鈥夆赌� 路鈥夆赌� (鈥塨鈥夆赌� 路鈥夆赌塩鈥�)$

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

Example: $(6鈥夆赌� 路鈥夆赌�4)鈥夆赌� 路鈥夆赌�3 = 6鈥夆赌� 路鈥夆赌� (鈥�4鈥夆赌� 路鈥夆赌�3鈥�) 鈥夆赌� = 鈥夆赌� 72$

Step-3 – Evaluate the expression – 4 (9) (– 5) and justify each of your steps.

Associative property of Multiplication states thatif you are multiplying three real numbers, the product is always the same regardless of their grouping.

Property: $(a鈥夆赌� 路鈥夆赌塨)鈥夆赌� 路鈥夆赌塩 = a鈥夆赌� 路鈥夆赌� (鈥塨鈥夆赌� 路鈥夆赌塩鈥�)$

Example: $(6鈥夆赌� 路鈥夆赌�4)鈥夆赌� 路鈥夆赌�3 = 6鈥夆赌� 路鈥夆赌� (鈥�4鈥夆赌� 路鈥夆赌�3鈥�) 鈥夆赌� = 鈥夆赌� 72$

Associative Property of Multiplication: $(a鈥夆赌� 路鈥夆赌塨)鈥夆赌� 路鈥夆赌塩 = a鈥夆赌� 路鈥夆赌� (鈥塨鈥夆赌� 路鈥夆赌塩鈥�)$

So, we can multiply the numbers in any ord

$\begin{array}{l} 8 (鈭� 3) 5 \\ (8 鈥夆赌� 路鈥夆赌� 鈭� 3) 鈥� 5 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� (Associative鈥夆赌塒roperty鈥夆赌塷f鈥夆赌塎ultiplication) \\ 8 鈥夆赌� (鈭� 3 鈥夆赌� 路鈥夆赌夆€夆赌� 5) 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€� (Associative鈥夆赌塒roperty鈥夆赌塷f鈥夆赌塎ultiplication) \\ 8 鈥夆赌� 路鈥夆赌� 鈭� 鈥夆赌� 15 鈥夆赌� = 鈥夆赌� 鈭� 鈥夆赌� 120 鈥夆赌� \end{array}$

$8 (鈭� 3) 5 鈥夆赌� = 鈥夆赌� 鈭� 120$

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91影视

In Exercises 1鈥�3, evaluate the expression. Justify each of your steps.
$8 (鈭� 3) (5)$

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Associative Property of Multiplication of Real Numbers:

Step-3 – Evaluate the expression – 4 (9) (– 5) and justify each of your steps.

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91影视

In Exercises 1鈥�3, evaluate the expression. Justify each of your steps.8(鈭�3)(5)

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Associative Property of Multiplication of Real Numbers:

Step-3 – Evaluate the expression – 4 (9) (– 5) and justify each of your steps.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

In Exercises 1鈥�3, evaluate the expression. Justify each of your steps.
$8 (鈭� 3) (5)$