Chapter 2: Q25. (page 73)

Evaluate the expression using the distributive property and mental math.
$2 (1.99)$

Short Answer

Expert verified

$2 (1.99) = 3.98$ .

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: $12 (6 - 4) = 12 \cdot 6 - 12 \cdot 4 = 72 - 48 = 24$

Step-3: Evaluate the expression using the distributive property and mental math.

We can write 1.99 as (2 –0.01), to evaluate the expression 2(1.99), we can use the distributive method of multiplication.

Distributive Property of Multiplication

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

$\begin{array}{l} 2 (1.99) = 2 (2 - 0.01) = 2 \cdot 2 + 2 \cdot 0.01 = 4 - 0.02 = 3.98 \\ 2 (1.99) = 3.98 \end{array}$

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Evaluate the expression using the distributive property and mental math.
$2 (1.99)$

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 and mental math.

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Evaluate the expression using the distributive property and mental math.2 (1.99 )

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 and mental math.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression using the distributive property and mental math.
$2 (1.99)$