Chapter 1: Q17. (page 56)

Evaluate the expression when $r = 4 and s = 6$ .
localid="1649074157352" $2 (r^{2} - 15)$

Short Answer

Expert verified

The value of the expression is2.

Step by step solution

Step-1 – Order of operations

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.

Step-2 – Evaluate the expression inside parenthesis

To evaluate the expression $2 (r^{2} - 15)$ , substitute 4 for r and 6 for s in the expression and then simplify further by evaluating the expression in parenthesis as shown below,

$\begin{matrix} 2 (r^{2} - 15) = 2 (4^{2} - 15) \\ = 2 (16 - 15) \\ = 2 (1) \end{matrix}$

Step-3 – Multiply the numbers

Now to simplify further, remove the parenthesis and multiply the numbers as shown below.

$\begin{matrix} 2 (r^{2} - 15) = 2 (1) \\ = 2 \end{matrix}$

Thus, the value of the expression is 2.

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Evaluate the expression when $r = 4 and s = 6$ .
localid="1649074157352" $2 (r^{2} - 15)$

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Evaluate the expression inside parenthesis

Step-3 – Multiply the numbers

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Evaluate the expression when r=4ands=6.localid="1649074157352" 2r2-15

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – Evaluate the expression inside parenthesis

Step-3 – Multiply the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate the expression when $r = 4 and s = 6$ .
localid="1649074157352" $2 (r^{2} - 15)$