What is the rational number equivalent to __ 3.24?
1 answer:
Answer:
Step-by-step explanation:
Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is
Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.
You might be interested in
Answer:
E.
Step-by-step explanation:
Consider a circle having centre P and radius 20 inches,
So, the area of the circle,
Also, suppose points Q and R are on the circumference,
i.e. PQ = PR = 20 inches,
If QR = 20 inches,
So, triangle PQR is an equilateral triangle,
⇒ m∠RPQ = 60°,
Now, suppose R' is another point on the circle,
Such that, ΔPQR ≅ Δ PQR',
⇒ m∠QPR' = 60°,
Thus, minor angle, m∠RPR' = m∠RPQ + m∠QPR' = 60° + 60° = 120°,
⇒ major angle, m∠RPR' = 360° - 120° = 240°,
So, the area of the circle where a point on the circumference is closer to P than it is to Q
Hence, the probability that a point is closer to P than it is to Q =
i.e. OPTION E is correct.
