QuestionArrange the following numbers from least to greatest: $\pi$ , $3.\overline{1}$ , $2\sqrt{3}$ , and $2\frac{4}{5}$ .

Studdy Solution

STEP 1

Assumptions1. The cards contain the following numbers $\pi$ , $3 . \overline{1}$ , $\sqrt{3}$ , $\frac{4}{5}$ . . We need to arrange these numbers from least to greatest.

STEP 2

First, we need to convert all numbers to a common form to compare them. The easiest way is to convert all numbers to decimal form.

STEP 3

Convert $\pi$ to decimal form. We know that $\pi$ is approximately3.1416.

STEP 4

Convert $3 . \overline{1}$ to decimal form. The overline indicates that the digit(s) under it repeat indefinitely, so this number is3.1111...

STEP 5

Convert $2 \sqrt{3}$ to decimal form. We know that $\sqrt{3}$ is approximately1.732, so $2 \sqrt{3}$ is approximately3.464.

STEP 6

Convert $2 \frac{4}{5}$ to decimal form. This is a mixed number, so we can convert it by adding the whole number to the fraction. $\frac{4}{5}$ is0.8, so $2 \frac{4}{5}$ is2.8.

STEP 7

Now we have all the numbers in decimal form $\pi$ is3.1416, $3 . \overline{1}$ is3.1111..., $2 \sqrt{3}$ is3.464, and $2 \frac{4}{5}$ is2..

STEP 8

Now we can compare these numbers and arrange them from least to greatest. The smallest number is $2 \frac{4}{5}$ (2.8).

STEP 9

The next smallest number is $\pi$ (3.1416).

STEP 10

The next smallest number is $3 . \overline{}$ (3.111...).

STEP 11

The largest number is $\sqrt{3}$ (3.464).
So, Kyoko should arrange the cards in the following order $\frac{4}{5}$ , $\pi$ , $3 . \overline{}$ , $\sqrt{3}$ .

Was this helpful?

QuestionArrange the following numbers from least to greatest: $\pi$ , $3.\overline{1}$ , $2\sqrt{3}$ , and $2\frac{4}{5}$ .

Studdy Solution

STEP 1

Assumptions1. The cards contain the following numbers $\pi$ , $3 . \overline{1}$ , $\sqrt{3}$ , $\frac{4}{5}$ . . We need to arrange these numbers from least to greatest.

STEP 2

First, we need to convert all numbers to a common form to compare them. The easiest way is to convert all numbers to decimal form.

STEP 3

Convert $\pi$ to decimal form. We know that $\pi$ is approximately3.1416.

STEP 4

Convert $3 . \overline{1}$ to decimal form. The overline indicates that the digit(s) under it repeat indefinitely, so this number is3.1111...

STEP 5

Convert $2 \sqrt{3}$ to decimal form. We know that $\sqrt{3}$ is approximately1.732, so $2 \sqrt{3}$ is approximately3.464.

STEP 6

Convert $2 \frac{4}{5}$ to decimal form. This is a mixed number, so we can convert it by adding the whole number to the fraction. $\frac{4}{5}$ is0.8, so $2 \frac{4}{5}$ is2.8.

STEP 7

Now we have all the numbers in decimal form $\pi$ is3.1416, $3 . \overline{1}$ is3.1111..., $2 \sqrt{3}$ is3.464, and $2 \frac{4}{5}$ is2..

STEP 8

Now we can compare these numbers and arrange them from least to greatest. The smallest number is $2 \frac{4}{5}$ (2.8).

STEP 9

The next smallest number is $\pi$ (3.1416).

STEP 10

The next smallest number is $3 . \overline{}$ (3.111...).

STEP 11

The largest number is $\sqrt{3}$ (3.464).
So, Kyoko should arrange the cards in the following order $\frac{4}{5}$ , $\pi$ , $3 . \overline{}$ , $\sqrt{3}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionArrange the following numbers from least to greatest: π\piπ, 3.1‾3.\overline{1}3.1, 232\sqrt{3}23​, and 2452\frac{4}{5}254​.

Studdy Solution

STEP 1

Assumptions1. The cards contain the following numbers π\piπ, 3.1‾3 . \overline{1}3.1, 3 \sqrt{3}3​, 45 \frac{4}{5}54​. . We need to arrange these numbers from least to greatest.

STEP 2

First, we need to convert all numbers to a common form to compare them. The easiest way is to convert all numbers to decimal form.

STEP 3

Convert π\piπ to decimal form. We know that π\piπ is approximately3.1416.

STEP 4

Convert 3.1‾3 . \overline{1}3.1 to decimal form. The overline indicates that the digit(s) under it repeat indefinitely, so this number is3.1111...

STEP 5

Convert 232 \sqrt{3}23​ to decimal form. We know that 3\sqrt{3}3​ is approximately1.732, so 232 \sqrt{3}23​ is approximately3.464.

STEP 6

Convert 2452 \frac{4}{5}254​ to decimal form. This is a mixed number, so we can convert it by adding the whole number to the fraction. 45\frac{4}{5}54​ is0.8, so 2452 \frac{4}{5}254​ is2.8.

STEP 7

Now we have all the numbers in decimal form π\piπ is3.1416, 3.1‾3 . \overline{1}3.1 is3.1111..., 232 \sqrt{3}23​ is3.464, and 2452 \frac{4}{5}254​ is2..

STEP 8

Now we can compare these numbers and arrange them from least to greatest. The smallest number is 2452 \frac{4}{5}254​ (2.8).

STEP 9

The next smallest number is π\piπ (3.1416).

STEP 10

The next smallest number is 3.‾3 . \overline{}3. (3.111...).

STEP 11

The largest number is 3 \sqrt{3}3​ (3.464).So, Kyoko should arrange the cards in the following order 45 \frac{4}{5}54​, π\piπ, 3.‾3 . \overline{}3., 3 \sqrt{3}3​.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionArrange the following numbers from least to greatest: $\pi$ , $3.\overline{1}$ , $2\sqrt{3}$ , and $2\frac{4}{5}$ .

Assumptions1. The cards contain the following numbers $\pi$ , $3 . \overline{1}$ , $\sqrt{3}$ , $\frac{4}{5}$ . . We need to arrange these numbers from least to greatest.

Convert $\pi$ to decimal form. We know that $\pi$ is approximately3.1416.

Convert $3 . \overline{1}$ to decimal form. The overline indicates that the digit(s) under it repeat indefinitely, so this number is3.1111...

Convert $2 \sqrt{3}$ to decimal form. We know that $\sqrt{3}$ is approximately1.732, so $2 \sqrt{3}$ is approximately3.464.

Convert $2 \frac{4}{5}$ to decimal form. This is a mixed number, so we can convert it by adding the whole number to the fraction. $\frac{4}{5}$ is0.8, so $2 \frac{4}{5}$ is2.8.

Now we have all the numbers in decimal form $\pi$ is3.1416, $3 . \overline{1}$ is3.1111..., $2 \sqrt{3}$ is3.464, and $2 \frac{4}{5}$ is2..

Now we can compare these numbers and arrange them from least to greatest. The smallest number is $2 \frac{4}{5}$ (2.8).

The next smallest number is $\pi$ (3.1416).

The next smallest number is $3 . \overline{}$ (3.111...).

The largest number is $\sqrt{3}$ (3.464).
So, Kyoko should arrange the cards in the following order $\frac{4}{5}$ , $\pi$ , $3 . \overline{}$ , $\sqrt{3}$ .