Chapter 1: Q84. (page 18)

PREREQUISITE SKILL
Evaluate each expression if $a = 2, b = - \frac{3}{4},$ and $c = 1.8$ .
84. $\frac{2}{5} b + 1$

Short Answer

Expert verified

Expression $\frac{2}{5} b + 1$ results into $\frac{7}{10}$

Step by step solution

- Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

- Substitute given values

Substitute $- \frac{3}{4}$ for b into given expression

$\frac{2}{5} b + 1 = \frac{2}{5} (- \frac{3}{4}) + 1$

- Simplify 25-34+1

To evaluate, firstly perform multiplication and finally addition from left to right to get

$\begin{matrix} \frac{2}{5} (- \frac{3}{4}) + 1 = - (\frac{2 \times 3}{5 \times 4}) + 1 \\ = - \frac{3}{10} + 1 \\ = \frac{- 3 + 10}{10} \\ = \frac{7}{10} \end{matrix}$

Thus, $\frac{2}{5} b + 1 = \frac{7}{10}$

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PREREQUISITE SKILL
Evaluate each expression if $a = 2, b = - \frac{3}{4},$ and $c = 1.8$ .
84. $\frac{2}{5} b + 1$

Short Answer

Step by step solution

- Order for simplification

- Substitute given values

- Simplify 25-34+1

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PREREQUISITE SKILLEvaluate each expression if a=2,b=-34, andc=1.8.84. 25b+1

Short Answer

Step by step solution

- Order for simplification

- Substitute given values

- Simplify 25-34+1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Geometry

Decision Maths

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

PREREQUISITE SKILL
Evaluate each expression if $a = 2, b = - \frac{3}{4},$ and $c = 1.8$ .
84. $\frac{2}{5} b + 1$