Chapter 2: Q5. (page 72)

Evaluate the expression using the distributive property and mental math.
$4 (105)$

Short Answer

Expert verified

$4 (105) = 420$ .

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 and mental math.

We can write 105 as 100+ 5, to evaluate the expression 4(105), 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} 4 (105) = 4 (100 + 5) = 4 \cdot 100 + 4 \cdot 5 = 400 + 20 = 420 \\ 4 (105) = 420 \end{array}

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Evaluate the expression using the distributive property and mental math.
$4 (105)$

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.4 (105)

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

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Geometry

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Evaluate the expression using the distributive property and mental math.
$4 (105)$