Which equation shows an exact computation?
A. 12/7 = 1.714
B. 2π = 44/7
C. 22/7x14 = 44
D. 2√2 = 2.818
And if possible, could you explain what exact computation is? Thank you.
44 is exactly 22/7 * 14 or 22*2
all the others are approximations where you could carry any number of decimal places after the decimal point. Try them with your calculator.
So they have to equal the exact number, even when you round up?
Exact, no rounding
Oh ok, thanks.
The equation that shows an exact computation is:
C. 22/7x14 = 44
Exact computation refers to calculations where the answer is precise and doesn't involve any approximation or rounding. In this case, the equation in option C represents an exact computation because the numbers involved are exact values without any estimation or approximation.
Option A represents an approximation since 12/7 is approximately 1.714. Option B involves the value of pi (π), which is an irrational number and cannot be expressed exactly as a finite decimal. Instead, it is often approximated as 3.14 or 22/7. Option D involves the square root of 2 (√2), which is also an irrational number and cannot be expressed exactly as a finite decimal. Instead, it is often approximated as 1.414.