Yes, that’s correct, and you are also correct that 0.99 repeating can be expressed as 9/9, or, more simply, 1/1. Therefore, it’s a rational number.
How do you make .9 repeating?
1 Answer
- We first let 0.9 (9 being repeated) be x .
- Since x is recurring in 1 decimal places, we multiply it by 10.
- Lastly, we divide both sides by 9 to get x as a fraction.
Is 0.9999 a rational number?
The number which does not terminate but repeat the particular number again and again in the process of division , is said to be a non terminating repeating decimal expansion. ANSWER : 0.9999 is non terminating recurring,so it is a RATIONAL NUMBER.
Is 0.75 a terminating decimal?
Solution. Step 2: We find that on long division 34=0.75 which is a terminating decimal.
Is 0 a rational number?
Why Is 0 a Rational Number? This rational expression proves that 0 is a rational number because any number can be divided by 0 and equal 0. Fraction r/s shows that when 0 is divided by a whole number, it results in infinity. Infinity is not an integer because it cannot be expressed in fraction form.
Is 0.9 the same as 9 tenths?
Every place value after the decimal point can be expressed as a fraction with 10 to some power in the denominator. The first place after the decimal point is called the “tenths place” If I had 0.9 , I would have 9 tenths, or as a fraction 910 . The second place after the decimal is called the “hundredths place”.
What is .8 repeating as a fraction?
As a fraction 0.8 (8 repeating) is 89 .
What is 0.1 Repeating as a fraction?
0. 1 is a pure repeating bicimal with a repeating cycle of one digit, so the fraction it converts to is 1/1; in other words, 1.
Is 0.7 repeating rational or irrational?
The decimal 0.7 is a rational number.
Is 9.0 rational or irrational?
As all natural or whole numbers, including 9 , can also be written as fractions p1 they are all rational numbers. Hence, 9 is a rational number.
Is 2.5 A irrational number?
The decimal 2.5 is a rational number. … The decimal 2.5 is equal to the fraction 25/10.
What is 1 divided infinity?
Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined. In mathematics, a limit of a function occurs when x gets larger and larger as it approaches infinity, and 1/x gets smaller and smaller as it approaches zero.
Is 0.125 a terminating decimal?
A terminating decimal has a set or finite amount of numbers after the decimal point. … In decimal form it is 0.125, which is a terminating decimal. The fraction 29/200 is 0.145 as a decimal, which is another terminating decimal. 51.202211 is also a terminating decimal because the number ends after the last 1.
What is the difference between a repeating decimal and a terminating decimal?
Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . … If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.
Is 1.25 repeating a irrational number?
Yes, 1.25252525… is a rational number.
What is 8/9 in the simplest form?
89 is already in the simplest form. It can be written as 0.888889 in decimal form (rounded to 6 decimal places).
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Reduce 8/9 to lowest terms
- Find the GCD (or HCF) of numerator and denominator. GCD of 8 and 9 is 1.
- 8 ÷ 19 ÷ 1.
- Reduced fraction: 89. Therefore, 8/9 simplified to lowest terms is 8/9.
How do you write 0.9 as a percentage?
Express 0.9 as a percent
- Multiply both numerator and denominator by 100. 0.9 × 100100.
- = (0.9 × 100) × 1100 = 90100.
- Write in percentage notation: 90%
What is 9 hundredths as a decimal?
nine-hundredths
In decimal fraction we write it as 9/100. In decimal number we write it as . 09 and we read it as point zero nine.
Is zero a number Yes or no?
0 (zero) is a number, and the numerical digit used to represent that number in numerals. It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems.
Why is 2/3 a rational number?
The fraction 2/3 is a rational number. Rational numbers can be written as a fraction that has an integer (whole number) as its numerator and denominator. Since both 2 and 3 are integers, we know 2/3 is a rational number. … All repeating decimals are also rational numbers.
Is 5 a irrational number?
5 = 2.236067978….. A decimal that does not stop and does not repeat cannot be written as the ratio of integers. We call this kind of number an irrational number.