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8) [tex]$40 - 12 + 8 \times 7 \div 4$[/tex]

Sagot :

Alright, let's solve the expression step-by-step using the order of operations, often remembered by the acronym PEMDAS/BODMAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Here is the initial expression:
[tex]\[ 40 - 12 + 8 \times 7 \div 4 \][/tex]

1. First, handle any Multiplication and Division from left to right:
- We have the multiplication [tex]\(8 \times 7\)[/tex]:
[tex]\[ 8 \times 7 = 56 \][/tex]
- Next, we perform the division [tex]\(56 \div 4\)[/tex]:
[tex]\[ 56 \div 4 = 14 \][/tex]

2. Now, substitute back these results into the original expression:
[tex]\[ 40 - 12 + 14 \][/tex]

3. Finally, perform Addition and Subtraction from left to right:
- First, perform the subtraction [tex]\(40 - 12\)[/tex]:
[tex]\[ 40 - 12 = 28 \][/tex]
- Now, add the result to 14:
[tex]\[ 28 + 14 = 42 \][/tex]

So, the final result of the given expression is:
[tex]\[ 42 \][/tex]