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Why do you multiplied by a power of 10 when writing a repeating decimal as a rational number?
Multiplying by ten to the power k moves the decimal point k places to the right. If the repeating sequence comprises n digits and you multiply by 10n then the decimal point is moved n places to the right and the positions of the repeating sequence relative to the decimal point is not changed. This allows you to subtract the one repeating decimal expression from the other and get a terminating decimal which can then be used as the numerator of the ratio.
What else can I help you with?
How can you figure out if a decimal is repeating?
You know a decimal is repeating when you keep getting the same remainder and you keep adding the same decimal onto the end. On calculators it may be expressed as, as an example, 0.6666667. When writing a reoccurring (repeating) decimal it is usually expressed as one decimal with a line over the top of it.
What is 0.12 as an ordinary number?
0.12 IS an ordinary number. It is an ordinary rational number, written in decimal form - which is a perfectly ordinary way of writing numbers.
Is 40.16 rational?
YES !!!!! Think of all numbers to be rational except, those decimal numbers tha go to infinity AND there is no regular order in the decimal digits. pi = 3.141592.... is the most well known irrational number. However. 123.123123123..... Is rational because the decimal digits are in a regular order.
Writing exponential form in decimal number?
3.7854
Is 2.222222 a rational number?
YES!!!! Be it a terminating decimal or a decimal recurring to inifinity. Terminating decimal 2.222222 = 2 2/1000000 = 2 1/500000 As a recurring decimal 2.222.... ( Note the use of stops). Let P = 2.222.... Then 10P - 22.222... Subtract 9P = 20 ( Note the recurring decimals subtract to zero). P = 20/9 P = 2 2/9 NB When writing recurring decimal to infinity, the number is written as 2.222... ( with at least three stops/periods). Otherwise it is deemed to be a terminating decimal.
When writing a repeating decimal as a fraction does the number of repeating digits you use matter Explain.?
Yes, of course. Different denominators in the rational equivalent give rise to different lengths of repeating strings.
Is a negative repeating decimal rational or irrational?
it is irrational because you just keep writing the same number over and over again!
When writing a repeating decimal as a fraction does the number of repeating digits you use matter?
No... you can write it to any number of decimal places.
What is 6 over 35 as a decimal?
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.
How can you figure out if a decimal is repeating?
You know a decimal is repeating when you keep getting the same remainder and you keep adding the same decimal onto the end. On calculators it may be expressed as, as an example, 0.6666667. When writing a reoccurring (repeating) decimal it is usually expressed as one decimal with a line over the top of it.
How do you write one third as a decimal and a percentage?
1. As a decimal value, write: .3 (with a horizontal line above the 3 or by writing (repeating)) 2. As a percentage, write: 33.3% or 33.3 percent (with a horizontal line above the 3 that is to the right of the decimal point or by writing (repeating))
What is an equivalent decimal for 10.6?
10.59 repeating. Other than that, 10.6 is the only way of writing 10.6 in decimal notation.
What is 0.12 as an ordinary number?
0.12 IS an ordinary number. It is an ordinary rational number, written in decimal form - which is a perfectly ordinary way of writing numbers.
Which way of writing the number can be used to show that it is a rational number?
If it can be expressed as a fraction then it is a rational number
Is 40.16 rational?
YES !!!!! Think of all numbers to be rational except, those decimal numbers tha go to infinity AND there is no regular order in the decimal digits. pi = 3.141592.... is the most well known irrational number. However. 123.123123123..... Is rational because the decimal digits are in a regular order.
Is. -1.23654 an irrational number?
No because it can be expressed as a fraction and so therefore it is a rational number
Is 4.12125 a repeating or terminating decimal?
You tell us. Is that all there is to it ? Did you write the whole thing, or does it repeat ? If you stopped writing because you came to the end and there wasn't any more, then it sure looks as if it terminated, doesn't it.
