Question

How do you simplify \[-5+-25\]?

Answer 1

Hint: This question is from the topic of algebra. In solving this question, we will first know what can be written if we multiply plus sign with plus sign, minus sign with minus sign, plus sign with minus sign, and minus sign with plus. After that, according to multiplication of signs, we will write the value of +-. After that, we will find the value of the given term.

Complete step by step solution:
Let us solve this question.
In this question, it is asked us to simplify \[-5+-25\]. Or, we can say we have to solve and find the simple or simplified value of the term \[-5+-25\].
Before solving this question, let us first understand some multiplied terms having signs.
The term \[++\] can also be written as \[+\times +=+\]
The term \[-\] can also be written as \[-\times -=+\]
The term \[+-\] can also be written as \[+\times -=-\]
The term \[-+\] can also be written as \[-\times +=-\]
Now, let us solve the term \[-5+-25\].
So, the term \[-5+-25\] can also be written as \[-5+\left( -25 \right)\]. Now, we have seen that \[+-\] can also be written as negative sign (that is \[-\])
So, we can write
\[\Rightarrow -5+-25=-5-25\]
After addition, the above equation can also be written as
\[\Rightarrow -5+-25=-30\]
Now, we have simplified the given term. The simplified term of \[-5+-25\] is 30.

Note:
As we can see that this question is from the topic of algebra, so we should have a better knowledge in that topic. We should know the following multiplications to solve this type of question:
1)\[++=+\times +=+\]
Example for the above is: \[\left( + \right)\times \left( +3 \right)=+3\]
2)\[-=-\times -=+\]
Example for the above is: \[\left( - \right)\times \left( -3 \right)=+3\]
3)\[+-=+\times -=-\]
Example for the above is: \[\left( + \right)\times \left( -3 \right)=-3\]
4)\[-+=-\times +=-\]
Example for the above is: \[\left( - \right)\times \left( +3 \right)=-3\]
Don’t forget to put the brackets because solutions can be wrong.