Math

QuestionEvaluate: 2+1÷(109)-2 + -1 \div (-10 - -9)

Studdy Solution

STEP 1

Assumptions1. We are given the expression +1÷(109)-+-1 \div(-10--9). We need to follow the order of operations, often remembered by the acronym PEMAS which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to simplify the expression inside the parentheses.109-10--9

STEP 3

The double negative becomes a positive.
109=10+9-10--9 = -10 +9

STEP 4

Calculate the value of the expression inside the parentheses.
10+9=1-10 +9 = -1

STEP 5

Now, substitute this value back into the original expression.
2+1÷1-2+-1 \div -1

STEP 6

Next, perform the division operation.
1÷1=1-1 \div -1 =1

STEP 7

Substitute this value back into the expression.
2+1-2+1

STEP 8

Finally, perform the addition operation.
2+1=1-2 +1 = -1So, the value of the expression 2+1÷(10)-2+-1 \div(-10--) is -1.

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