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Questions and Answers
What is the result of $8 + 2 imes 5 - 3$?
What is the result of $8 + 2 imes 5 - 3$?
Calculate the lowest common denominator of the fractions $\frac{1}{4}$ and $\frac{1}{6}$.
Calculate the lowest common denominator of the fractions $\frac{1}{4}$ and $\frac{1}{6}$.
Evaluate $2^3 + 4 imes (3 - 1)$.
Evaluate $2^3 + 4 imes (3 - 1)$.
What is the value of $\frac{3}{8} + \frac{1}{2}$ when both fractions are expressed with a common denominator?
What is the value of $\frac{3}{8} + \frac{1}{2}$ when both fractions are expressed with a common denominator?
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What is the outcome of $6 + (4 + 2) \div 2 - 3$?
What is the outcome of $6 + (4 + 2) \div 2 - 3$?
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Study Notes
Arithmetic Calculations
- For the expression (8 + 2 \times 5 - 3):
- Apply the order of operations (PEMDAS/BODMAS).
- First, multiply (2 \times 5) to get (10).
- Then, add (8 + 10) to obtain (18).
- Finally, subtract (3) to arrive at (15).
Lowest Common Denominator (LCD)
- The fractions (\frac{1}{4}) and (\frac{1}{6}) require finding the least common multiple (LCM) of their denominators (4 and 6).
- The LCM of (4) and (6) is (12), making it the lowest common denominator.
- This allows the fractions to be expressed with a numerator adjustment.
Exponential and Multiplicative Expression Evaluation
- Evaluating (2^3 + 4 \times (3 - 1)):
- Calculate (2^3) to get (8).
- Simplify the expression in parentheses: (3 - 1) equals (2).
- Then, compute (4 \times 2) resulting in (8).
- Finally, add (8 + 8) for a total of (16).
Addition of Fractions with Common Denominator
- To add (\frac{3}{8}) and (\frac{1}{2}), convert (\frac{1}{2}) to a fraction with a common denominator of (8).
- Rewriting (\frac{1}{2}) as (\frac{4}{8}) allows for easy addition.
- Thus, (\frac{3}{8} + \frac{4}{8} = \frac{7}{8}).
Expression with Parentheses and Division
- Evaluating (6 + (4 + 2) \div 2 - 3):
- First calculate the expression in parentheses: (4 + 2 = 6).
- Then divide (6 \div 2) to get (3).
- Finally, compute (6 + 3 - 3) with a result of (6).
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Description
Test your skills in order of operations and finding lowest common denominators with this 10-question quiz. Solve problems involving addition, multiplication, divisions, and fractions to strengthen your mathematical understanding.
