0.75 is a rational number because it can be expressed as a decimal in the form of 3/4
Numbers that can't be expressed as fractionsAn irrational number is any real number that cannot be expressed as a ratio a/b, where a and b are integers, with b non-zero, and is therefore not a rational number. This means that an irrational number cannot be represented as a simple fraction. Irrational numbers are also those real numbers that cannot be represented as terminating or repeating decimals.
34.74 is a rational decimal number because it can be expressed as a fraction in the form of 1737/50 in its lowest terms
The decimal representation in infinite, non-recurring.
To write the decimal 0.000024 in standard form, you would move the decimal point five places to the right to make it a number between 1 and 10. This would result in the standard form of 2.4 x 10^-5. The negative exponent indicates that the decimal point has been moved to the left of the original number.
No.
No it is not.
12.52 is rational, as is any number that you can write out completely in decimal form.
It is an irrational number and as a decimal number it has no ending
A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.
No. Not even all the space in the universe would suffice.
This is an irrational number because of it's decimal point... Rational numbers are whole numbers that are divisible by 2 and do not leave a remainder or form a decimal fraction.
Suppose an irrational number can be written precisely in decimal form, with n digits after the decimal point. Then if you multiply the decimal value by 10n you will get an integer, say k. Then the decimal representation is equivalent to k/10n, which is a ratio of two integers and so the number, by definition, is rational - not irrational.
It already is in decimal form.
The number is already in decimal form!
no. irrational numbers are always infininately long, otherwise the could be represented as a fraction by multiplying by 10^n and dividing by 10^n where n is a number large enough to make the number a number with no decimals.
The number in decimal form is 0.12.