Chapter 1: Q81. (page 18)

Evaluate each expression if $a = - 5, b = 0.25, c = \frac{1}{2},$ and $d = 4$ .
81. $b + 3 {(a + d)}^{3}$

Short Answer

Expert verified

Expression $b + 3 {(a + d)}^{3}$ results into $- 2.75$

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 $- 5$ for a, 0.25 for b and 4 for d into given expression

$b + 3 {(a + d)}^{3} = 0.25 + 3 {(- 5 + 4)}^{3}$

- Simplify 0.25+3-5+43

To evaluate, firstly simplify parentheses then expand exponent then perform multiplication and finally addition from left to right to get

$\begin{matrix} 0.25 + 3 {(- 5 + 4)}^{3} = 0.25 + 3 {(- 1)}^{3} \\ = 0.25 + 3 (- 1) \\ = 0.25 - 3 \\ = - 2.75 \end{matrix}$

Thus, $b + 3 {(a + d)}^{3} = - 2.75$

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Evaluate each expression if $a = - 5, b = 0.25, c = \frac{1}{2},$ and $d = 4$ .
81. $b + 3 {(a + d)}^{3}$

Short Answer

Step by step solution

- Order for simplification

- Substitute given values

- Simplify 0.25+3-5+43

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Evaluate each expression if a=-5,b=0.25,c=12, andd=4.81. b+3a+d3

Short Answer

Step by step solution

- Order for simplification

- Substitute given values

- Simplify 0.25+3-5+43

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Discrete Mathematics

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Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $a = - 5, b = 0.25, c = \frac{1}{2},$ and $d = 4$ .
81. $b + 3 {(a + d)}^{3}$