Question42. Arrange the following in order from the first step to the last in simplifying algebraic expressions. I. Do all exponents II. Do addition and subtraction (from left to right) III. Do all expressions in parenthesis IV. Do all multiplication and division (from left to right) A. IV, III, II, I C. I, II, III, IV B. III, I, IV, II D. II, III, IV, I
Studdy Solution
STEP 1
1. The problem involves simplifying algebraic expressions.
2. Knowledge of the order of operations (often abbreviated as PEMDAS or BIDMAS) is necessary.
STEP 2
1. Identify the correct order of operations.
2. Determine the proper sequence among the options provided (A, B, C, D).
STEP 3
Identify the correct order of operations. According to the order of operations (PEMDAS/BIDMAS):
1. Parentheses (P)
2. Exponents (E)
3. Multiplication and Division (MD) from left to right
4. Addition and Subtraction (AS) from left to right.
STEP 4
Match each step of the order of operations to the statements given in the problem: - Parentheses (P) matches III: Do all expressions in parenthesis - Exponents (E) matches I: Do all exponents - Multiplication and Division (MD) matches IV: Do all multiplication and division (from left to right) - Addition and Subtraction (AS) matches II: Do addition and subtraction (from left to right)
STEP 5
Based on the identified order of operations, the correct sequence among the statements is: III, I, IV, II.
STEP 6
Compare the identified sequence (III, I, IV, II) with the options provided:
Option B corresponds to III, I, IV, II.
Solution:
The correct answer is B: III, I, IV, II.
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