Solving for variables in equations is important for many reasons. Of course, it's important to be able to solve for them so you can pass math tests. But even more so, it's important for real-life applications. There are many uses for solving equations. They can provide answers for mathematicians, accountants, insurance companies- you name it! There are way too many to list! It may not seem important now, but just keep working at it! I personally think solving equations is a ton of fun!
Answer:
1. YES 2. NO
Step-by-step explanation:
1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.
2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.
