Chapter 1: Q28. (page 9)

Find the value of each expression
28. $\frac{1}{3} (4 - 7^{2})$

Short Answer

Expert verified

Value of $\frac{1}{3} (4 - 7^{2})$ is $- 15$

Step by step solution

- Order for simplification by

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.

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis as shown below

$\begin{matrix} \frac{1}{3} (4 - 7^{2}) = \frac{1}{3} (4 - 49) \\ = \frac{1}{3} (- 45) \end{matrix}$

- Divide by 3

Now, to simplify further divide the numbers to get

$\begin{matrix} \frac{1}{3} (- 45) = \frac{- 45}{3} \\ = - 15 \end{matrix}$

Thus, value of $\frac{1}{3} (4 - 7^{2})$ is $- 15$

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Find the value of each expression
28. $\frac{1}{3} (4 - 7^{2})$

Short Answer

Step by step solution

- Order for simplification by

- Simplify expression inside grouping symbol

- Divide by 3

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Find the value of each expression28.134-72

Short Answer

Step by step solution

- Order for simplification by

- Simplify expression inside grouping symbol

- Divide by 3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Pure Maths

Study anywhere. Anytime. Across all devices.

Find the value of each expression
28. $\frac{1}{3} (4 - 7^{2})$