Q30. - Algebra 1

Question

The simplified form of $26.37+\left(-61.1\right)$.

Step-by-Step Solution

Answer

The simplified form of $26.37+\left(-61.1\right)$ is $-34.73$.

Step 1.

The statement “$26.37+\left(-61.1\right)$.”

Step 2. Concept.

When one positive and one negative number are added or subtracted then their absolute difference is taken first and the sign of a greater number is put in front of it.

Step 3. Calculation.

Consider the provided statement “$26.37+\left(-61.1\right)$.”

 

Recall that when one positive and one negative number are added or subtracted then their absolute difference is taken first and sign of greater number is put in front of it.

 

So, the given expression can be simplified as,

$26.37+\left(-61.1\right)=26.37-61.1$

$26.37+\left(-61.1\right)=-\left(61.1-26.37\right)$

$26.37+\left(-61.1\right)=-34.73$

Hence, the simplified form of $26.37+\left(-61.1\right)$ is $-34.73$.