which of the followng is a rational number
a.2 square root 3
b. 2 pie
c.3.14444
d.0.123456
how do you figure this out explanation
a is not
b is not
c might well be (we will check)
d I doubt it
now check c
78611/25000 = 3.14444 so yes
check d
nope
I used http://ericlin2.tripod.com/mis/ration.html
for checking c and d
thank you
To determine which of the given options is a rational number, we need to understand what a rational number is. A rational number is any number that can be expressed as the ratio of two integers, where the denominator is not equal to zero.
Let's analyze each option:
a. 2√3: This is an irrational number because it cannot be expressed as a ratio of two integers.
b. 2π: This is an irrational number as well. π (pi) is an irrational number, and when it is multiplied by 2, the result remains irrational.
c. 3.14444: This number appears to be a decimal, but we need to check if it can be expressed as a ratio of two integers. If we convert it into a fraction, it becomes 3.14444/1, which is a ratio of two integers. Therefore, it is a rational number.
d. 0.123456: Similar to the previous option, this number is a decimal. If we convert it to a fraction, it becomes 123456/1, which is a ratio of two integers. Hence, it is a rational number.
Therefore, the rational numbers in the given options are c. 3.14444 and d. 0.123456.