Answer :
Sure, let's solve the expression step-by-step according to the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
The original expression is:
[tex]\[ 4 + 36 \div 2 \times 5^2 - 3 \][/tex]
1. Exponents:
- Calculate [tex]\(5^2 = 25\)[/tex].
So, the expression now is:
[tex]\[ 4 + 36 \div 2 \times 25 - 3 \][/tex]
2. Division and Multiplication (from left to right):
- First, perform the division: [tex]\(36 \div 2 = 18\)[/tex].
Now, the expression is:
[tex]\[ 4 + 18 \times 25 - 3 \][/tex]
- Next, perform the multiplication: [tex]\(18 \times 25 = 450\)[/tex].
The expression becomes:
[tex]\[ 4 + 450 - 3 \][/tex]
3. Addition and Subtraction (from left to right):
- Add: [tex]\(4 + 450 = 454\)[/tex]
- Then, subtract: [tex]\(454 - 3 = 451\)[/tex]
Therefore, the equivalent of the original expression is 451. None of the options match the exact sequence of operations performed, but you asked to focus on the final numerical result, which is 451.
The original expression is:
[tex]\[ 4 + 36 \div 2 \times 5^2 - 3 \][/tex]
1. Exponents:
- Calculate [tex]\(5^2 = 25\)[/tex].
So, the expression now is:
[tex]\[ 4 + 36 \div 2 \times 25 - 3 \][/tex]
2. Division and Multiplication (from left to right):
- First, perform the division: [tex]\(36 \div 2 = 18\)[/tex].
Now, the expression is:
[tex]\[ 4 + 18 \times 25 - 3 \][/tex]
- Next, perform the multiplication: [tex]\(18 \times 25 = 450\)[/tex].
The expression becomes:
[tex]\[ 4 + 450 - 3 \][/tex]
3. Addition and Subtraction (from left to right):
- Add: [tex]\(4 + 450 = 454\)[/tex]
- Then, subtract: [tex]\(454 - 3 = 451\)[/tex]
Therefore, the equivalent of the original expression is 451. None of the options match the exact sequence of operations performed, but you asked to focus on the final numerical result, which is 451.
