Answer:
a. 53.68
b. 53.53
Step-by-step explanation:
a. Step 1: Approximate the value for :
Since is close to (which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.
The expression becomes 6(7.9)+2π
Step 2: Approximate the value for 2π
Since π is approximately 3.14, 2π is approximately 6.28.
The expression becomes 6(7.9)+6.28
Step 3: Use order of operations
6(7.9)+6.28=47.4+6.28=53.68
b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value
The approximation 53.68 is decently close to the actual value, so no minor math errors were made.