What is rational number as a terminating decimal?
Also what would this be and how would it be solved 19/20
How would you turn it into a terminating decimal?
19/20 = 95/100 = 0.95
17/5 as terminating
A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. A terminating decimal is a decimal representation of a number that ends, or terminates, after a finite number of digits.
To determine if a rational number can be expressed as a terminating decimal, you need to check if the denominator of the fraction is divisible by only the prime factors of 2 and/or 5. If it is, then the decimal representation will terminate; otherwise, it will be a repeating decimal.
Now let's look at the fraction 19/20. To convert this to a decimal, you can divide 19 by 20:
19 ÷ 20 = 0.95
So, 19/20 can be expressed as a terminating decimal, which is 0.95.
To further explain how to turn a rational number into a terminating decimal, you can follow these steps:
1. Divide the numerator by the denominator using long division.
2. Continue dividing until either the division terminates or you notice a repeating pattern.
3. If the division terminates (no repeating pattern), then the decimal representation is a terminating decimal.
4. If you notice a repeating pattern, use parentheses to indicate the repeating digits and write it as a repeating decimal.
I hope this clears up your question! If you have any further inquiries, feel free to ask.