Answer: - 8.89%
I am going to explain you in detail ir order to help you to be able to do this kind of problems by yourself.
The definition of percent change, %, is:
change
% = ---------------- * 100
base value
The base value is from where you start or the value for which you want to asses the variation.
So, in this case the base value is 90 (starting value).
The change is final value - initial value = 82 - 90 = - 8. The negative sign means that the value decreased.
So, following the formula you get:
82 - 90 - 8
% = ----------- * 100 = -------- * 100 = - 8.89
90 90
Answer: the percent of change is - 8.89 %, meaning that the value decreased 8.89%.
We know the first place after decimal is tenths
The second place after decimal is hundredths
The third place after decimal is the thousandths place
So for 0.056
0 is at the tenths place
5 is at the hundredths place
and 6 is at the thousandths place
Expanding 22.056 we get
22.056 = 20 + 2 + 0.05 + 0.006
OR
22.056 = 
<h3>
Answer: D) 3/150</h3>
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Explanation:
With the use of a calculator, we see that,
- 11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion
- 4/7 = 0.5714285714285714..., the block "571428" repeats forever
- 1/3 = 0.333333.... the 3s go on forever
- 3/150 = 0.02
So 3/150 converts to the terminating decimal 0.02
The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.
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A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.
If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.
