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Simplify the following expression:

[tex]\[ 5 + 2 - \frac{8}{2} \][/tex]


Sagot :

Sure, let's solve the expression step by step:

Given: [tex]\(5 + 2 - 8 \div 2\)[/tex]

1. Division comes first: According to the order of operations (PEMDAS/BODMAS), we need to perform the division before addition and subtraction.
[tex]\[ 8 \div 2 = 4 \][/tex]

2. Rewriting the expression: Now that we've handled the division, we can rewrite the expression with the result.
[tex]\[ 5 + 2 - 4 \][/tex]

3. Perform addition: Next, we calculate the addition.
[tex]\[ 5 + 2 = 7 \][/tex]

4. Perform subtraction: Finally, we perform the subtraction with the result of the addition.
[tex]\[ 7 - 4 = 3 \][/tex]

Hence, the final value of the expression [tex]\(5 + 2 - 8 \div 2\)[/tex] is [tex]\(3.0\)[/tex].

Answer:

3

Step-by-step explanation:

Given:

  • 5 + 2 - 8/2

To simplify the given expression we need to solve it using PEMDAS

What is PEMDAS?

PEMDAS is an acronym that stands for the order of operations in mathematics. It stands for Parentheses, Exponents, Multiplication, and Division (from left to right), and Addition and Subtraction (from left to right). This acronym helps to remember the correct sequence in which mathematical operations should be performed when solving equations.

Solving

5 + 2 - 8/2

Firstly, we divide 8 by 2

5 + 2 - 4

Secondly, add 5 and 2

7 - 4

Lastly, subtract 7 from 4

3

Therefore, the final answer is 3