Chapter 2: Q33. (page 73)

Use the distributive property to write an equivalent variable expression.
$- 5 (5 q - 4)$

Short Answer

Expert verified

$- 5 (5 q - 4) = - 25 q + 20$ .

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: $- 3 (8 - 5) = (- 3) \cdot 8 - (- 3) \cdot 5 = - 24 + 15 = - 9$

Step-3: Use the distributive property to evaluate the expression.

We know that double negative is always positive. $- 5 \cdot (- 4) = + 20$

Distributive Property of Multiplication

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

$\begin{array}{l} - 5 (5 q - 4) = - 5 \cdot 5 q - (- 5) \cdot 4 = - 25 q + 20 \\ - 5 (5 q - 4) = - 25 q + 20 \end{array}$

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Use the distributive property to write an equivalent variable expression.
$- 5 (5 q - 4)$

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Use the distributive property to evaluate the expression.

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Use the distributive property to write an equivalent variable expression.- 5 ( 5q-4 )

Short Answer

Step by step solution

Step-1 – What are real numbers?

Step-2 – Distributive Property of Multiplication

Step-3: Use the distributive property to evaluate the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Use the distributive property to write an equivalent variable expression.
$- 5 (5 q - 4)$