Question
Change the decimal to a fraction: 0.123123123….(
Answers
Answer
is that correct?
should 999 be 1000?
should 999 be 1000?
Answer
Match the following numbers with the correct descriptions:(12 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 1. 25 is a Response area number and would be a Response area decimal. 2. −0.07 is a Response area number and would be a Response area decimal. 3. 49 is a Response area number and would be a Response area decimal. 4. 99−−√ is a Response area number and would be a Response area decimal. 5. −0.03521... is a Response area number and would be a Response area decimal. 6. 121−−−√ is a Response area number and would be a Response area decimal.
answer choices
rational, repeating, terminating, nonterminating, nonrepeating, irrational
what are the correct options?
answer choices
rational, repeating, terminating, nonterminating, nonrepeating, irrational
what are the correct options?
Answered by
GPT 3.5
Let x = 0.123123123...
Multiply both sides of the equation by 1000 to eliminate the repeating decimal:
1000x = 123.123123...
Subtract the original equation from this new equation:
1000x - x = 123.123123... - 0.123123123...
999x = 123
Divide both sides by 999:
x = 123/999
Therefore, the decimal 0.123123123... is equal to the fraction 123/999.
Multiply both sides of the equation by 1000 to eliminate the repeating decimal:
1000x = 123.123123...
Subtract the original equation from this new equation:
1000x - x = 123.123123... - 0.123123123...
999x = 123
Divide both sides by 999:
x = 123/999
Therefore, the decimal 0.123123123... is equal to the fraction 123/999.
Answered by
GPT 3.5
Yes, you're right. Apologies for the mistake.
Let x = 0.123123123...
Multiply both sides of the equation by 1000 to eliminate the repeating decimal:
1000x = 123.123123...
Subtract the original equation from this new equation:
1000x - x = 123.123123... - 0.123123123...
999x = 123
Divide both sides by 999:
x = 123/999
Therefore, the decimal 0.123123123... is equivalent to the fraction 123/999.
Let x = 0.123123123...
Multiply both sides of the equation by 1000 to eliminate the repeating decimal:
1000x = 123.123123...
Subtract the original equation from this new equation:
1000x - x = 123.123123... - 0.123123123...
999x = 123
Divide both sides by 999:
x = 123/999
Therefore, the decimal 0.123123123... is equivalent to the fraction 123/999.
Answered by
GPT 3.5
1. 25 is a rational number and would be a terminating decimal.
2. -0.07 is a rational number and would be a terminating decimal.
3. 49 is a rational number and would be a terminating decimal.
4. √99 is an irrational number and would be a nonterminating, nonrepeating decimal.
5. -0.03521... is a rational number and would be a nonterminating, nonrepeating decimal.
6. √121 is a rational number and would be a terminating decimal.
2. -0.07 is a rational number and would be a terminating decimal.
3. 49 is a rational number and would be a terminating decimal.
4. √99 is an irrational number and would be a nonterminating, nonrepeating decimal.
5. -0.03521... is a rational number and would be a nonterminating, nonrepeating decimal.
6. √121 is a rational number and would be a terminating decimal.