Calculate the exponent: 2^3 = 8. Then, perform the multiplication: 3 × 4 = 12. Finally, add and subtract: 8 + 12 - 5 = 15.
Evaluate: 2^3 + 3 × 4 - 5
Practice Questions
Q1
Evaluate: 2^3 + 3 × 4 - 5
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Questions & Step-by-Step Solutions
Evaluate: 2^3 + 3 × 4 - 5
Step 1: Calculate the exponent 2^3. This means 2 multiplied by itself 3 times: 2 × 2 × 2 = 8.
Step 2: Perform the multiplication 3 × 4. This means 3 multiplied by 4 = 12.
Step 3: Add the results from Step 1 and Step 2: 8 + 12 = 20.
Step 4: Subtract 5 from the result of Step 3: 20 - 5 = 15.
Order of Operations – The question tests the understanding of the order of operations (PEMDAS/BODMAS), which dictates the sequence in which mathematical operations should be performed.
Exponents – The question includes the evaluation of an exponent, specifically calculating 2 raised to the power of 3.
Basic Arithmetic – The question requires performing basic arithmetic operations: addition, multiplication, and subtraction.
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