Answered

From everyday questions to specialized queries, IDNLearn.com has the answers. Discover prompt and accurate answers from our community of experienced professionals.

According to the order of operations, what operation should be performed first in the following expression?

[tex]\[ 2 - 7 \div 4 \times (3 + 9) \][/tex]

A. subtraction
B. addition
C. division
D. multiplication

Sagot :

GinnyAnsweridn
To determine which operation should be performed first in the given expression [tex]\(2 - 7 \div 4 \times (3 + 9)\)[/tex], we need to follow the order of operations, often remembered by the acronym PEMDAS/BODMAS. This acronym stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and roots, etc.), Multiplication and Division (left to right), Addition and Subtraction (left to right).

Let’s analyze the expression step by step:

1. Parentheses/Brackets: The first operation inside the parentheses is [tex]\(3 + 9\)[/tex]. Addition within the parentheses should be performed first:
[tex]\[ 3 + 9 = 12 \][/tex]

So the expression now simplifies to:
[tex]\[ 2 - 7 \div 4 \times 12 \][/tex]

2. Division and Multiplication: According to the order of operations, we solve division and multiplication from left to right.

The first operation is [tex]\(7 \div 4\)[/tex].

Given the analysis so far, the first operation based on the order of operations is addition (i.e., [tex]\(3 + 9\)[/tex] inside the parentheses).

So, the correct answer is:
- addition
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.