Question

Translate and simplify the sum of 9 and$-16$, increased by 4.

Short answer

The given statement can be translated as $\left[9+\left(-16\right)\right]+4$and the simplified value is $-3$.

Step-by-step solution

Step 1. Concept Used.

The phrase "The sum of $a$and $b$" and "$a$increased by $b$" indicates the operation of addition and are represented as$a+b$.

Step 2. Write the given statement using mathematical notations.

The sum of 9 and $-16$can be written as

$9+\left(-16\right)$

Then it is given that the sum of 9 and $-16$is increased by 4. Write it as a mathematical expression.

$\left[9+\left(-16\right)\right]+4$

Step 3. Simplify.

Start with the grouping symbol. Add 9 and $-16$inside the brackets.

$\left[9+\left(-16\right)\right]+4=\left(-7\right)+4$

Step 4. Perform Addition.

Add $-7$and 4.

$\left(-7\right)+4=-3$

Step 5. Conclusion.

The given statement can be translated as$\left[9+\left(-16\right)\right]+4$and the simplified value is$-3$.