Chapter 2: Q11. (page 72)

Use the distributive property to write an equivalent variable expression.
$9 (3 m + 5)$

Short Answer

Expert verified

$9 (3 m + 5) = 27 m + 45$ .

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 – Distributive Property of Multiplication

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

Distributive Property of Multiplication

Property: $a (b + c) = a \cdot b + a \cdot c$

Example: $12 (3 + 4) = 12 \cdot 3 + 12 \cdot 4 = 36 + 48 = 84$

Step-3: Evaluate the expression using the distributive property.

Distributive Property of Multiplication

Property: $a (b + c) = a \cdot b + a \cdot c$

$\begin{array}{l} 9 (3 m + 5) = 9 \cdot 3 m + 9 \cdot 5 = 27 m + 45 \\ 9 (3 m + 5) = 27 m + 45 \end{array}$

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Use the distributive property to write an equivalent variable expression.
$9 (3 m + 5)$

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Evaluate the expression using the distributive property.

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Use the distributive property to write an equivalent variable expression.9 (3m+5)

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Evaluate the expression using the distributive property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Geometry

Calculus

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Use the distributive property to write an equivalent variable expression.
$9 (3 m + 5)$