QuestionEvaluate the expression: $-3 - -8 \div -1 \times 5$

Studdy Solution

STEP 1

Assumptions1. The expression to be evaluated is $-3--8 \div-1 \times5$ . We will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to handle the division and multiplication operations. According to the order of operations, multiplication and division should be performed from left to right.
$---8 \div-1 \times5$

STEP 3

Divide $-8$ by $-1$ .
$-3--8 \div-1 \times5 = -3--8 \div-1 \times5 = -3--8$

STEP 4

Now, multiply $8$ by $$.
$-3--8 \times = -3--40$

STEP 5

Next, we need to handle the subtraction operation. The double negative between $-3$ and $-40$ turns into a plus.
$-3--40 = -3 +40$

STEP 6

Finally, add $-3$ and $40$ .
$-3 +40 =37$ The expression evaluates to $37$ .

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QuestionEvaluate the expression: $-3 - -8 \div -1 \times 5$

Studdy Solution

STEP 1

Assumptions1. The expression to be evaluated is $-3--8 \div-1 \times5$ . We will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to handle the division and multiplication operations. According to the order of operations, multiplication and division should be performed from left to right.
$---8 \div-1 \times5$

STEP 3

Divide $-8$ by $-1$ .
$-3--8 \div-1 \times5 = -3--8 \div-1 \times5 = -3--8$

STEP 4

Now, multiply $8$ by $$.
$-3--8 \times = -3--40$

STEP 5

Next, we need to handle the subtraction operation. The double negative between $-3$ and $-40$ turns into a plus.
$-3--40 = -3 +40$

STEP 6

Finally, add $-3$ and $40$ .
$-3 +40 =37$ The expression evaluates to $37$ .

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QuestionEvaluate the expression: −3−−8÷−1×5-3 - -8 \div -1 \times 5−3−−8÷−1×5

Studdy Solution

STEP 1

STEP 2

First, we need to handle the division and multiplication operations. According to the order of operations, multiplication and division should be performed from left to right.−−−8÷−1×5---8 \div-1 \times5−−−8÷−1×5

STEP 3

Divide −8-8−8 by −1-1−1.−3−−8÷−1×5=−3−−8÷−1×5=−3−−8-3--8 \div-1 \times5 = -3--8 \div-1 \times5 = -3--8−3−−8÷−1×5=−3−−8÷−1×5=−3−−8

STEP 4

Now, multiply 888 by $$.−3−−8×=−3−−40-3--8 \times = -3--40−3−−8×=−3−−40

STEP 5

Next, we need to handle the subtraction operation. The double negative between −3-3−3 and −40-40−40 turns into a plus.−3−−40=−3+40-3--40 = -3 +40−3−−40=−3+40

STEP 6

Finally, add −3-3−3 and 404040.−3+40=37-3 +40 =37−3+40=37The expression evaluates to 373737.

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QuestionEvaluate the expression: $-3 - -8 \div -1 \times 5$

First, we need to handle the division and multiplication operations. According to the order of operations, multiplication and division should be performed from left to right.
$---8 \div-1 \times5$

Divide $-8$ by $-1$ .
$-3--8 \div-1 \times5 = -3--8 \div-1 \times5 = -3--8$

Now, multiply $8$ by $$.
$-3--8 \times = -3--40$

Next, we need to handle the subtraction operation. The double negative between $-3$ and $-40$ turns into a plus.
$-3--40 = -3 +40$

Finally, add $-3$ and $40$ .
$-3 +40 =37$ The expression evaluates to $37$ .