Answer:
a. 53.68
b. 53.53
Step-by-step explanation:
a. Step 1: Approximate the value for [tex]\sqrt{62}[/tex]:
Since [tex]\sqrt{62}[/tex] is close to [tex]\sqrt{64}[/tex] (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
[tex]6\sqrt{62} +2\pi =53.5272[/tex]
The approximation 53.68 is decently close to the actual value, so no minor math errors were made.
Answer:
54 and 53.53 see below
Step-by-step explanation:
Estimate the square root first. 7x7 = 49 and 8x8=64 so you can use 8 for your estimate. You can also estimate Pi as 3.
Now you have:
(6 x 8) + 2(3) which is 48 + 6 = 54
Using your calculator you get
47.244 + 6.283 = 53.53 rounded to the nearest hundredth
