Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why?? Holly is correct. Repeating decimals are always rational numbers. Holly is correct. The number is positive and all positive numbers are rational. Holly is incorrect. The decimal does not terminate, so it cannot be a rational number. Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Answers
Step-by-step explanation:
Given:4.131131113...
To find:Which of the following best describes whether Holly is correct and why??
1)Holly is correct. Repeating decimals are always rational numbers.
2)Holly is correct. The number is positive and all positive numbers are rational.
3)Holly is incorrect. The decimal does not terminate, so it cannot be a rational number.
4) Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Solution:
Before answering Holly is correct or incorrect,first think about what is a rational number in terms of decimal expansion
Rational number:
1) Terminating decimal
2) Non-terminating recurring decimal
Can be positive and negative
Irrational numbers:
Non-terminating non-repeating decimal expansion.
Now, the number 4.131131113...
clearly it is non-terminating
Observe the pattern,1 is increasing every time,thus it is not-repeating
any specific pattern
So, number is irrational.
1)Holly is correct. Repeating decimals are always rational numbers.
Ans: Yes,holly is correct.
repeating /recurring decimals are always rational
for eg:6.56565656...
4.13131313...
2)Holly is correct. The number is positive and all positive numbers are rational.
Ans: No, holly is incorrect.
Rational numbers are real numbers they can be positive as well as they can be negative.
For example
-4.131313...
5.676767...
both are rational
3)Holly is incorrect. The decimal does not terminate, so it cannot be a rational number.
Ans: Yes,Holy is incorrect.
because non-terminating recurring decimal expansion are also rational.
For example
5.676767...
4) Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Ans:No,Holy is correct.
The decimal part in this number does not follow a repeating pattern,if it so
The number will be rational.
Hope it helps you.
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https://brainly.in/question/20147095
2)Convert rational number 1.325 in p/q form?
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Good grief! You don't have to right a book! You didn't even make the answer CLEAR! It's B or C.
Jeez lol