12.2882057274 is rational, but it is a rational approximation of an irrational number.Any number that can be expressed exactly as a fraction is rational, and that includes any number that, when written in decimal form, uses a finite number of digits.However, √151 (the square root of 151), which is approximately 12.2882057274445..., is an irrational number. You could keep getting a closer and closer approximation with more and more digits, but you would never hit it exactly, and you will never end up with a repeating series of digits.0.80428571428571428571428571... is also a rational number, because, after the 0.80 at the beginning, you have a repeating sequence of 428571. It's a decimal representation of 563/700.
Yes it is. Any number that you can write completely using digits, and a decimal point or a fraction bar if you need one, is rational. If the number you wrote in the question is all there is to it, and it doesn't keep going on forever, then it's rational.
0.3333... (keep going depending on how close an approximation you want).
A terminating decimal is a number that stops dividing after a number of decimal points and is therefore a rational number.For instance, 1/2 = 0.5. (so 0.5 is a rational number because it can be written as a fraction).Terminating number or better known as terminating decimal has an end. It has to stop after the decimal point.Examples:1/2 = 0.51/4 = 0.25
0.1714285714285714285714 etc.. And although it does turn out to be like that, the proper way to right it without repeating is .....________ 0.1714285 Note: Please ignore the dots in front of the line. And the line is to be writing above the number starting with the 7, indicating that that's what repeats. Also keep in mind that just because that it's a repeating decimal doesn't mean it's irrational. It's written as a fraction. Any fraction is rational, so this repeating decimal is rational.
12.2882057274 is rational, but it is a rational approximation of an irrational number.Any number that can be expressed exactly as a fraction is rational, and that includes any number that, when written in decimal form, uses a finite number of digits.However, √151 (the square root of 151), which is approximately 12.2882057274445..., is an irrational number. You could keep getting a closer and closer approximation with more and more digits, but you would never hit it exactly, and you will never end up with a repeating series of digits.0.80428571428571428571428571... is also a rational number, because, after the 0.80 at the beginning, you have a repeating sequence of 428571. It's a decimal representation of 563/700.
The difference is that rational numbers stay with the same numbers. Like the decimal 1.247247247247... While an irrational number is continuous but does not keep the same numbers. Like the decimal 1.123456789...
Yes it is. Any number that you can write completely using digits, and a decimal point or a fraction bar if you need one, is rational. If the number you wrote in the question is all there is to it, and it doesn't keep going on forever, then it's rational.
it is irrational because you just keep writing the same number over and over again!
0.3333... (keep going depending on how close an approximation you want).
A terminating decimal is a number that stops dividing after a number of decimal points and is therefore a rational number.For instance, 1/2 = 0.5. (so 0.5 is a rational number because it can be written as a fraction).Terminating number or better known as terminating decimal has an end. It has to stop after the decimal point.Examples:1/2 = 0.51/4 = 0.25
Whether that's all there is to it, or the '135's keep going on forever, either way, it's a rational number.
Well, hello there! Let's talk about 0.56. That's a decimal number, but did you know it can also be written as a fraction? A rational number is any number that can be expressed as a fraction, so yes, 0.56 is indeed a rational number. Keep exploring the beauty of numbers, my friend!
Whether that's all there is to it, or the '135's keep going on forever, either way, it's a rational number.
A rational number is any number that, when put into decimal form, terminates after a finite amount of digits OR begins to repeat the same pattern of digits. An easy way to find rational numbers is that any number that can be expressed in a fraction (1/2, 9/4, etc) of two integers.There is an infinite number of rational numbers between any two rational numbers. For example, say we have the numbers 1 and 2. What if you add them and divide by 2? Is that a rational number? Is it between 1 and 2? And to see that there is an infinite number of numbers between 1 and 2, take the number you just found, it is 3/2, now find a number between it and 2. You can keep doing this.
Whether that's all there is to it, or the 6s keep going on forever, either way it's a rational number.
Keep the whole-number-part exactly as it is, and re-write the decimal part as a fraction.