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QuestionCalculate: 5⋅(−13)+45−(−45)+135 \cdot(-13) + 45 - (-45) + 13

Studdy Solution

STEP 1

Assumptions1. The problem is an arithmetic expression that needs to be simplified using the order of operations, also known as BIDMAS/BODMAS/PEDMAS, which stands for Brackets/Orders (or Parentheses/Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to perform the multiplication operation. According to the order of operations, multiplication and division should be performed before addition and subtraction.
5⋅(−13)=−655 \cdot(-13) = -65

STEP 3

Now, replace the multiplication operation in the original expression with the result from the previous step.
−65+(45)−(−45)+(13)-65+(45)-(-45)+(13)

STEP 4

Next, we need to handle the negative sign before the bracket. A negative sign before a bracket means we multiply each term inside the bracket by -1.
−(−45)=45-(-45) =45

STEP 5

Now, replace the negative bracket operation in the original expression with the result from the previous step.
−65+(45)+45+(13)-65+(45)+45+(13)

STEP 6

Finally, we perform the addition operations from left to right.
−65+45=−20-65+45 = -20

STEP 7

Continue with the addition operations.
−20+45=25-20+45 =25

STEP 8

Continue with the final addition operation.
25+13=3825+13 =38The simplified result of the arithmetic expression 5⋅(−13)+(45)−(−45)+(13)5 \cdot(-13)+(45)-(-45)+(13) is38.

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