Yes. For example, the square root of 1/9.
Yes.
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
No, it is not.
A never-ending division problem is called a "repeating decimal" or a "recurring decimal." This occurs when the division does not result in a whole number or a terminating decimal, but instead the decimal digits repeat in a pattern indefinitely. For example, 1 divided by 3 results in the repeating decimal 0.3333..., where the digit 3 repeats infinitely.
No, 125 is not a repeating decimal. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. In the case of 125, it is a whole number and does not have any decimal places or repeating patterns. It can be written as 125.0000, but it is still a non-repeating decimal.
The decimal 2.16 repeating can be expressed as a mixed number by separating the whole number from the decimal part. The whole number is 2, and the repeating decimal 0.16 repeating can be converted into a fraction. The repeating part, 0.16 repeating, is equal to ( \frac{16}{99} ). Therefore, 2.16 repeating as a mixed number is ( 2 \frac{16}{99} ).
The square root of 257 is an irrational number, as it cannot be expressed as a fraction or whole number. It is a non-repeating, non-terminating decimal.
A decimal number is like a mixed fraction: it has an integer part and a fractional part. If the fractional part is a repeating fraction then the whole number is represented by a repeating decimal.
Yes.
No, 7.2222... is not a whole number. Whole numbers are non-negative integers, which include 0, 1, 2, 3, and so on, without any fractions or decimal parts. The presence of the repeating decimal indicates that it is a rational number, but not a whole number.
No, 6.57 repeating (often written as 6.57̅) is not an integer. An integer is a whole number, which can be positive, negative, or zero, without any decimal or fractional part. Since 6.57 repeating has a decimal component, it is classified as a rational number, not an integer.
If it ends in a decimal, then it must be a whole number. Repeating could be ruled out immediately because even though theoretically it could be a thought of as a repeating decimal with infinite zeros repeating, adding zeros doesn't change the quantity and you could in theory add infinite zeros to the end of ANY decimal. That does not make it repeating.
No, it's a decimal number. 1,4142135623730950488016887242097
Simply because the solution to your sum produces a repeating decimal. Just as 22/7 (The value of Pi as a fraction) produces the repeating decimal 3.142857
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
No, it does not; it could be a fraction (or, what amounts to the same thing, a repeating decimal), a negative number (in fact every strictly positive number has 2 square roots, one positive, one negative, such as the square roots of 25 are 5 and -5), an irrational number (like the square root of 2), or an imaginary number (like the square root of -49).