Chapter 1: Q17. (page 48)

Evaluate each expression if $a = 12, b = 0.5, c = - 3$ and $d = \frac{1}{3}$
$a [b^{2} (b + a)]$

Short Answer

Expert verified

Expression $a [b^{2} (b + a)]$ results into $37.5$ .

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 the value of b and c in expression

To evaluate given expression, first substitute the values 12 for a and 0.5 for b in expression.

$a [b^{2} (b + a)] = 12 [{(0.5)}^{2} (0.5 + 12)]$

– Simplification

To simplify further, solve the exponent term followed by parentheses and bracket then multiply the terms from left to right.

$\begin{matrix} 12 [{(0.5)}^{2} (0.5 + 12)] = 12 [0.25 (0.5 + 12)] \\ = 12 [0.25 (12.5)] \\ = 37.5 \end{matrix}$

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Evaluate each expression if $a = 12, b = 0.5, c = - 3$ and $d = \frac{1}{3}$
$a [b^{2} (b + a)]$

Short Answer

Step by step solution

- Order for simplification

– Substitute the value of b and c in expression

– Simplification

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Evaluate each expression if a=12,b=0.5,c=-3and d=13ab2b+a

Short Answer

Step by step solution

- Order for simplification

– Substitute the value of b and c in expression

– Simplification

One App. One Place for Learning.

Most popular questions from this chapter

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Logic and Functions

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Evaluate each expression if $a = 12, b = 0.5, c = - 3$ and $d = \frac{1}{3}$
$a [b^{2} (b + a)]$