3. Which of these numbers can be classified as an irrational?
A. 1/2.
B. square root of 16.
C. 0.73737373...
D. 0.87546201023...
4. Which of these nonterminating decimals can be converted into a rational number?
A. 0.874387438743...
B. 0.0000100020003...
C. 5.891420975...
D. 10.07401259...
why is ms.sue here she literally is no help at all. no wonder its still "ms" instead of "mrs"
so what’s the answer?🥺
oop- :-:
answers** can someone pretty please help!
It is c and d because they cant be made into a fraction
Nevermind it is d
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To determine whether a number is rational or irrational, we need to understand the definitions of these terms.
1. A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In other words, a rational number can be written as a/b, where a and b are integers and b is not equal to zero.
2. An irrational number is a number that cannot be expressed as a quotient or fraction of two integers. Irrational numbers cannot be written as terminating decimals or repeating decimals.
Now, let's analyze the given options:
3.
A. The number 1/2 is a rational number because it can be expressed as the quotient of two integers (1 divided by 2).
B. The square root of 16 is 4, which is a rational number because it can be expressed as the quotient of two integers (4 divided by 1).
C. The number 0.73737373... is a repeating decimal, but it can still be expressed as a quotient of two integers. It is a rational number.
D. The number 0.87546201023... is a non-repeating decimal. It cannot be expressed as a quotient of two integers. Therefore, it is an irrational number.
Therefore, the only number classified as irrational in this list is option D: 0.87546201023...
4.
A. The number 0.874387438743... is non-terminating but repeating decimal, which means it can be expressed as the quotient of two integers. It is a rational number.
B. The number 0.0000100020003... is a non-terminating decimal but does not repeat a pattern. It does not satisfy the definition of a rational number because it cannot be expressed as the quotient of two integers. Therefore, it is an irrational number.
C. The number 5.891420975... is a non-terminating decimal but does not repeat a pattern. It is an irrational number.
D. The number 10.07401259... is a non-terminating decimal but does not repeat a pattern. It is an irrational number.
Therefore, the non-terminating decimal that can be converted into a rational number is option A: 0.874387438743...
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