Math / Numbers & Operations

QuestionEvaluate: $[-24] \div[4(8-14)]$

Studdy Solution

STEP 1

1. We are given an expression to evaluate: $[-24] \div [4(8-14)]$ .
2. The expression involves division and operations inside brackets.
3. We will follow the order of operations (PEMDAS/BODMAS).

STEP 2

1. Simplify the expression inside the parentheses.
2. Evaluate the expression inside the brackets.
3. Perform the division.

STEP 3

Simplify the expression inside the parentheses:
$8 - 14$
Calculate:
$8 - 14 = -6$

STEP 4

Evaluate the expression inside the brackets:
$4(8 - 14)$
Substitute the simplified value from Step 1:
$4(-6)$
Calculate:
$4 \times (-6) = -24$

STEP 5

Perform the division:
$[-24] \div [-24]$
Calculate:
$\frac{-24}{-24} = 1$
The evaluated result of the expression is:
$\boxed{1}$

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QuestionEvaluate: $[-24] \div[4(8-14)]$

Studdy Solution

STEP 1

1. We are given an expression to evaluate: $[-24] \div [4(8-14)]$ .
2. The expression involves division and operations inside brackets.
3. We will follow the order of operations (PEMDAS/BODMAS).

STEP 2

1. Simplify the expression inside the parentheses.
2. Evaluate the expression inside the brackets.
3. Perform the division.

STEP 3

Simplify the expression inside the parentheses:
$8 - 14$
Calculate:
$8 - 14 = -6$

STEP 4

Evaluate the expression inside the brackets:
$4(8 - 14)$
Substitute the simplified value from Step 1:
$4(-6)$
Calculate:
$4 \times (-6) = -24$

STEP 5

Perform the division:
$[-24] \div [-24]$
Calculate:
$\frac{-24}{-24} = 1$
The evaluated result of the expression is:
$\boxed{1}$

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QuestionEvaluate: [−24]÷[4(8−14)][-24] \div[4(8-14)][−24]÷[4(8−14)]

Studdy Solution

STEP 1

1. We are given an expression to evaluate: [−24]÷[4(8−14)][-24] \div [4(8-14)][−24]÷[4(8−14)].2. The expression involves division and operations inside brackets.3. We will follow the order of operations (PEMDAS/BODMAS).

STEP 2

1. Simplify the expression inside the parentheses.2. Evaluate the expression inside the brackets.3. Perform the division.

STEP 3

Simplify the expression inside the parentheses:8−14 8 - 14 8−14Calculate:8−14=−6 8 - 14 = -6 8−14=−6

STEP 4

Evaluate the expression inside the brackets:4(8−14) 4(8 - 14) 4(8−14)Substitute the simplified value from Step 1:4(−6) 4(-6) 4(−6)Calculate:4×(−6)=−24 4 \times (-6) = -24 4×(−6)=−24

STEP 5

Perform the division:[−24]÷[−24] [-24] \div [-24] [−24]÷[−24]Calculate:−24−24=1 \frac{-24}{-24} = 1 −24−24​=1 The evaluated result of the expression is:1\boxed{1}1​

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QuestionEvaluate: $[-24] \div[4(8-14)]$

1. We are given an expression to evaluate: $[-24] \div [4(8-14)]$ .
2. The expression involves division and operations inside brackets.
3. We will follow the order of operations (PEMDAS/BODMAS).

1. Simplify the expression inside the parentheses.
2. Evaluate the expression inside the brackets.
3. Perform the division.

Simplify the expression inside the parentheses:
$8 - 14$
Calculate:
$8 - 14 = -6$

Evaluate the expression inside the brackets:
$4(8 - 14)$
Substitute the simplified value from Step 1:
$4(-6)$
Calculate:
$4 \times (-6) = -24$

Perform the division:
$[-24] \div [-24]$
Calculate:
$\frac{-24}{-24} = 1$
The evaluated result of the expression is:
$\boxed{1}$