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21 votes
21 votes
Simplify: 15-(-10)+(-8)-12+(-2)

User Larry Schiefer
by
3.5k points

2 Answers

14 votes
14 votes
BIDMAS

15+10-8-12-2
= 25-8-12-2
=17-12-2
=5-2
=3

So the answer is 3
User Jarsen
by
2.4k points
9 votes
9 votes

Solution:

Given:


15-(-10)+(-8)-12+(-2)

Since we have multiple operations, we solve using PEMDAS or BODMAS.

where;


\begin{gathered} P=\text{Parentheses} \\ E=Exponents \\ M=\text{Multiplication} \\ D=\text{Division} \\ A=\text{Addition} \\ S=\text{Subtraction} \end{gathered}


\begin{gathered} B=\text{Bracket} \\ O=\text{Order} \\ D=\text{Division} \\ M=\text{Multiplication} \\ A=\text{Addition} \\ S=\text{Subtraction} \end{gathered}

From the above order, we solve the parentheses (or brackets first) using the directed number multiplication of signs.

Recall that;


\begin{gathered} +*+=+ \\ -*-=+ \\ +*-=- \\ -*+=- \end{gathered}

Hence,


\begin{gathered} 15-(-10)+(-8)-12+(-2) \\ =15+10-8-12-2 \\ =25-8-12-2 \\ =17-12-2 \\ =5-2 \\ =3 \end{gathered}

Therefore,


15-(-10)+(-8)-12+(-2)=3

The answer is 3.

User Bruno Joaquim
by
2.9k points