# What ate the prime factors of each denominator of the unit fractions that have terminating decimals? 1/2, 1/4, 1/5, 1/8, 1/10, 1/16, 1/20, 1/25

Question
Decimals
What ate the prime factors of each denominator of the unit fractions that have terminating decimals? 1/2, 1/4, 1/5, 1/8, 1/10, 1/16, 1/20, 1/25

2021-03-08
Step 1 Writing the prime factors of each denominators of the fraction We have the fraction $$\displaystyle\frac{{1}}{{2}},\frac{{1}}{{4}},\frac{{1}}{{5}},\frac{{1}}{{8}},\frac{{1}}{{10}},\frac{{1}}{{16}},\frac{{1}}{{20}},\frac{{1}}{{25}}$$ Step 2 Now, Prime factor of $$\displaystyle{2}={2}$$ Prime factor of $$\displaystyle{4}={2}\cdot{2}$$ Prime factor of $$\displaystyle{5}={5}$$ Prime factor of $$\displaystyle{8}={2}\cdot{2}\cdot{2}$$ Prime factor of $$\displaystyle{10}={2}\cdot{5}$$ Prime factor of $$\displaystyle{16}={2}\cdot{2}\cdot{2}\cdot{2}$$ Prime factor of $$\displaystyle{20}={2}\cdot{2}\cdot{5}$$ Prime factor of $$\displaystyle{25}={5}\cdot{5}$$

### Relevant Questions

For digits before decimals point, multiply each digit with the positive powers of ten where power is equal to the position of digit counted from left to right starting from 0.
For digits after decimals point, multiply each digit with the negative powers of ten where power is equal to the position of digit counted from right to left starting from 1.
1) $$10^{0}=1$$
2) $$10^{1}=10$$
3) $$10^{2}=100$$
4) $$10^{3}=1000$$
5) $$10^{4}=10000$$
And so on...
6) $$10^{-1}=0.1$$
7) $$10^{-2}=0.01$$
8) $$10^{-3}=0.001$$
9) $$10^{-4}=0.0001$$
Which of the following fractions are repeating decimals and which are terminating? How made decisions? $$a) \frac{2}{15}$$
$$b)\frac{11}{20}$$
$$c)\frac{17}{40}$$
$$d)\frac{1}{12}$$
For the given fraction and decimals we have to write its equivalent percent. Given fractions are $$\displaystyle{a}{)}{\frac{{{3}}}{{{25}}}}{b}{)}{\frac{{{1}}}{{{5}}}}{c}{)}{\frac{{{2}}}{{{5}}}}$$ And the decimals are, $$\displaystyle{d}{)}{0.01},{e}{)}{4.06},{f}{)}{0.6}$$ We have to find its equivalent percent.
The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.
$$\begin{array}{|c|c|}\hline x & 1 & 2 & 4 & 8 & 16 \\ \hline p(x) & 0.05 & 0.10 & 0.30 & 0.45 & 0.10 \\ \hline \end{array}$$
b) Compute V(X) directly from the definition. (Enter your answer to four decimal places.) $$GB^{2}$$
c) Compute the standard deviation of X. (Round your answer to three decimal places.) GB
d) Compute V(X) using the shortcut formula. (Enter your answer to four decimal places.) $$GB^{2}$$
To calculate:
The solution of the equation $$0.36u+2.55=0.41u+6.8$$ by clearing the decimals.
Find the solution of the equation rounded to two decimals.
$$8.36-0.95x-9.97$$
The solution of the equation $$0.6p-1.9=0.78p+1.7$$ by clearing the decimals.
$$3.02x+1.48-10.92$$
The equation $$x^{2}-1.800x+0.810=0$$ using quadratic formula and a calculator, rounding to three decimals.
The equation $$x^{2}-2.450x-1.500=0$$ using quadratic formula and a calculator, rounding to three decimals.