Questions and Answers
What is the result of $8 + 2 imes 5 - 3$?
Calculate the lowest common denominator of the fractions $\frac{1}{4}$ and $\frac{1}{6}$.
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?
Signup and view all the answers
What is the outcome of $6 + (4 + 2) \div 2 - 3$?
Signup and view all the answers
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).
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
