Chapter 1: Q26. (page 9)

Find the value of each expression
$1 - \{30 \div [7 + 3 (- 4)]\}$

Short Answer

Expert verified

Value of $1 - \{30 \div [7 + 3 (- 4)]\}$ is 7

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 ( ) , brackets [ ] or braces { }.
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 and then simplify the expression inside braces as shown below

$\begin{matrix} 1 - \{30 \div [7 + 3 (- 4)]\} = 1 - \{30 \div [7 + (- 12)]\} \\ = 1 - \{30 \div (- 5)\} \\ = 1 - (- 6) \end{matrix}$

- Subtract from 1

Now, to simplify further subtract the numbers to get

$1 - \{- 6\} = 7$

Thus, value of $1 - \{30 \div [7 + 3 (- 4)]\}$ is 7

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Find the value of each expression
$1 - \{30 \div [7 + 3 (- 4)]\}$

Short Answer

Step by step solution

- Order for simplification

- Simplify expression inside grouping symbol

- Subtract from 1

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Find the value of each expression1-30÷7+3-4

Short Answer

Step by step solution

- Order for simplification

- Simplify expression inside grouping symbol

- Subtract from 1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Decision Maths

Statistics

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of each expression
$1 - \{30 \div [7 + 3 (- 4)]\}$