Chapter 1: Q73. (page 17)

If $x = 1.4$ , find the value of $27 (x + 1.2) - 26 (x + 1.2)$
(A) 1 (B) $- 0.4$ (C) $2.6$ (D) $65$

Short Answer

Expert verified

Correct option is (C) 2.6

Step by step solution

- Properties of real number

Properties of real numbers are written in following table:

For any real numbers a, b, and c:
Property	Addition	Multiplication
Commutative	a+b=b+a	$a \cdot b = b \cdot a$
Associative	$(a + b) + c = a + (b + c)$	$(a \cdot b) \cdot c = a \cdot (b \cdot c)$
Identity	a+0=a=0+a	$a \cdot 1 = a = 1 \cdot a$
Inverse	$a + (- a) = 0 = (- a) + a$	If $a \neq 0$ , then $a \cdot \frac{1}{a} = 1 = \frac{1}{a} \cdot a$
Distributive	$a (b + c) = a b + a c and (b + c) a = b a + c a$

- Substitution

Substitute 1.4 for x in given expression

$27 (1.4 + 1.2) - 26 (1.4 + 1.2)$

- Simplify

To evaluate given expression, firstly use distributive property $b a + c a = (b + c) a$ then simplify terms in parentheses as show below

$\begin{matrix} 27 (1.4 + 1.2) - 26 (1.4 + 1.2) = (27 - 26) (1.4 + 1.2) \\ = (1) \times (2.6) \\ = 2.6 \end{matrix}$

Thus, correct option is (C)

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If $x = 1.4$ , find the value of $27 (x + 1.2) - 26 (x + 1.2)$
(A) 1 (B) $- 0.4$ (C) $2.6$ (D) $65$

Short Answer

Step by step solution

- Properties of real number

- Substitution

- Simplify

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If x=1.4, find the value of 27x+1.2-26x+1.2(A) 1 (B) -0.4 (C) 2.6 (D) 65

Short Answer

Step by step solution

- Properties of real number

- Substitution

- Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Geometry

Pure Maths

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

If $x = 1.4$ , find the value of $27 (x + 1.2) - 26 (x + 1.2)$
(A) 1 (B) $- 0.4$ (C) $2.6$ (D) $65$