# Pre-Algebra: solving equations with decimals

Recent questions in Decimals

### Repeating decimals in converted fractions, why these increments?a) $\frac{1}{31}=0.032258064516129\cdots$ ., the repetend is 032258064516129 which can be broken into the numbers 032258, 064516, 129032 that are related by multiples of 2:b) $\frac{1}{13}=0.076923\cdots$. , the repetend is 076923 which can be broken into 0769, 2307 that are related by multiplying by 3:c) $\frac{1}{17}=0.0588235294117647\cdots$ , the repetend is 0588235294117647 which can be broken into the numbers 5882352941, 11764705882 that are related by multiplying by 2:d) $\frac{1}{19}=0.052631578947368421\cdots$ , the repetend is 052631578947368421 which can be broken into the numbers 05263 , 15789 , 47367 , 142101 (think of the initial 1 in 142101 being removed from the 8 in the preceding 47368) that are related by multiples of 3:e) $\frac{1}{21}=0.047619\cdots$ , the repetend is 047619 which can be broken into the numbers 0476, 1904 that are related by multiplying by 4:

Naomi Hopkins 2022-05-02 Answered

### Question which looks something similar to decimal expansionLetWhat is set A?

Halle Marsh 2022-05-02 Answered

### Proving that 31123319 is the largest number with a self-accounting property is 10213223. What is the largest such number?

Kale Mcclain 2022-05-02 Answered

### Prove ${10}^{\frac{P\left(n\right)}{2}}+1$ is divisible by n

Dania Robbins 2022-04-28 Answered

### Let $\alpha \in \left[0,9\right]$. Is the set of real numbers such that the average of the digits of each of these numbers $=\alpha$, countable or uncountable?

Jordin Olsen 2022-04-28 Answered

### P-Adic Expansion of Rational Number (Reverse Direction)${5}^{-1}+1+2\cdot 5+{5}^{2}+\left(4\cdot {5}^{3}+2\cdot {5}^{4}+3\cdot {5}^{5}+2\cdot {5}^{7}+{5}^{8}\right)+\left(4\cdot {5}^{9}+2\cdot {5}^{10}+3\cdot {5}^{11}+2\cdot {5}^{13}+{5}^{14}\right)+\left(4\cdot {5}^{15}+2\cdot {5}^{16}+3\cdot {5}^{17}+2\cdot {5}^{19}+{5}^{20}\right)+\cdots$

Philip Ramirez 2022-04-24 Answered

### On the decimal expansion of$\prod _{k=1}^{\mathrm{\infty }}\sum _{\ell =1}^{k}\frac{9}{{10}^{\ell }}$

Michael Rivers 2022-04-24 Answered

### If $9.999\cdots =10$, then is there a general proof for any number that has infinite trailing 9s?

Mekhi Cox 2022-04-24 Answered

### How come square root of 2 times itself equals 2

Dereon Guzman 2022-04-24 Answered

### Given a natural number $n<{10}^{9}$, find the maximum number of the multiple of 3, which differs by exactly one digit from the given one

Terrence Moore 2022-04-23 Answered

### Out of the original girls and boys at a carnival party $40\mathrm{%}$ of the girls and $10\mathrm{%}$ of the boys left early, $\frac{3}{4}$ of them decided to hang out and enjoy the festivities. There were 18 more boys than girls in the party. How many girls were there to begin with?

Some of you may remember solving equations with decimals by looking back at the school years, yet it is also easy to get lost in this seemingly simple pre-algebra field. If working with decimals sounds too complex to you or you require a reminder, have a look at the list of decimals questions and answers below to see how it is done.

At the same time, if you are still not sure about finding the right solution, start with the high school Math and see more than one solution as you seek similarities.