Question

Evaluate the expression.

$\frac{5+4}{3} - 2$

Short answer

Answer is 1

Step-by-step solution

Apply the concept of adding or subtracting integers 

Rule: The sum of any integer and its opposite is equal to zero.

Rule: Adding two positive integers always gets a positive sum; adding two negative integers always gets a negative sum.

Rule: To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Explanation: How to add or subtract the integers.

To add two numbers with the same sign, first add the two numbers and then put their common sign before the answer.

To add two numbers with the opposite sign, subtract the smaller number from the bigger number. Then put the sign of the bigger number before the answer.

Example of addition and subtraction.

An example of addition is: 5 + 11 + 3 = 19.

Example: If a = 7 and b = 8, find the value of a + b and a – b

To evaluate the expressiona + b, substitute the value of a as 7 and the value of b as 8 and add the numbers as shown below,

$a+b = 7+8=15$ and $a-b=7-8=-1$

Evaluate the expression:  (5+4)/3- 2

To add two integers, we need to check the signs of those two integers.

Now Evaluate: $\frac{5+4}{3} - 2$

To determine the value of $\frac{5+4}{3}-2$, at first we will evaluate expressions add the numbers 5 and 4. Then divide the sum of (5+4) by 3. Then lastly, subtract 2 from the result.

The expression will be obtained as -

$\begin{array}{l}\frac{5+4}{3}-2=\frac{9}{3}-2\left[\text{Add5and4}\right]\\ \frac{9}{3}-2=3-2\left[\text{Divide\hspace{0.17em}\hspace{0.17em}by\hspace{0.17em}\hspace{0.17em}3}\right]\\ 3-2=1\left[\text{Subtract\hspace{0.17em}\hspace{0.17em}2\hspace{0.17em}\hspace{0.17em}from\hspace{0.17em}\hspace{0.17em}3}\right]\\ \frac{5+4}{3}-2=1\end{array}$

Hence, $\frac{5+4}{3}-2 = 1$