is -9 irrational?
3 answers
No, -9 is not an irrational number. An irrational number is a real number that cannot be expressed as a fraction or ratio of two integers. -9 can be expressed as the fraction -9/1 and is therefore a rational number.
is Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.523523... = what fraction?
To change a repeating decimal like 0.523523... to a fraction, you can follow these steps:
1. Let x be equal to the repeating decimal: x = 0.523523...
2. Multiply both sides of the equation by a power of 10 that eliminates the repeating part. In this case, we would multiply by 1000 to remove the repeating "523" part: 1000x = 523.523523...
3. Subtract the original equation (Step 1) from the equation in Step 2 to eliminate the repeating part: 1000x - x = 523.523523... - 0.523523...
4. Simplify the equation: 999x = 523
5. Finally, solve for x by dividing both sides of the equation by 999: x = 523/999
Therefore, the fraction equivalent to the repeating decimal 0.523523... is 523/999.
1. Let x be equal to the repeating decimal: x = 0.523523...
2. Multiply both sides of the equation by a power of 10 that eliminates the repeating part. In this case, we would multiply by 1000 to remove the repeating "523" part: 1000x = 523.523523...
3. Subtract the original equation (Step 1) from the equation in Step 2 to eliminate the repeating part: 1000x - x = 523.523523... - 0.523523...
4. Simplify the equation: 999x = 523
5. Finally, solve for x by dividing both sides of the equation by 999: x = 523/999
Therefore, the fraction equivalent to the repeating decimal 0.523523... is 523/999.
7 answers