Question

Arrange the numbers in decreasing order of their values.

Answer 1

Answer:

The numbers in decreasing order of their values are:

$\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012$

Step-by-step explanation:

Before actually comparing, we need to write all of those numbers in decimal form, that will be the only way to actually tell which one is bigger since you are already given numbers in decimal form.

Converting numbers in decimal form.

The first number we are given is $\sqrt{37}$, we know it is a bit higher than 6, since the square root of 36 is 6, so using a calculator we get

$\sqrt{37}=6.0828$

The second number is a fraction, in decimal form will be:

$\cfrac{19}{3}= 6.3333$

Writing the decreasing order.

Now that all numbers are in decimal form we can compare them and write them in decreasing order.

$6.3333... > 6.0828...>6.08171...>6.012$

Lastly we can write the decreasing order using the numbers on their original form.

$\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012$