Math / Numbers & Operations

QuestionOrder these numbers from least to greatest. $\frac{187}{24}, \sqrt{49}, 7 . \overline{7},-7 \frac{15}{17}$
Note that for this question you can use your mouse to drag the $\frac{187}{24}$ $\sqrt{49}$ $7 . \overline{7}$ $-7 \frac{15}{17}$ $I$

Studdy Solution

STEP 1

1. We are given four numbers: $\frac{187}{24}$ , $\sqrt{49}$ , $7.\overline{7}$ , and $-7 \frac{15}{17}$ .
2. We need to convert each number into a comparable form, preferably decimal, to order them from least to greatest.

STEP 2

1. Convert each number to a decimal form.
2. Compare the decimal values.
3. Order the numbers from least to greatest.

STEP 3

Convert $\frac{187}{24}$ to a decimal.
$\frac{187}{24} \approx 7.7917$

STEP 4

Convert $\sqrt{49}$ to a decimal.
$\sqrt{49} = 7$

STEP 5

Convert $7.\overline{7}$ to a decimal.
$7.\overline{7} = 7.7777\ldots$

STEP 6

Convert $-7 \frac{15}{17}$ to a decimal.
$-7 \frac{15}{17} = -7 - \frac{15}{17} \approx -7.8824$

STEP 7

List the decimal values for comparison:
- $-7.8824$ - $7$ - $7.7777\ldots$ - $7.7917$

STEP 8

Order the numbers from least to greatest based on their decimal values:
1. $-7 \frac{15}{17}$
2. $\sqrt{49}$
3. $7.\overline{7}$
4. $\frac{187}{24}$
The numbers ordered from least to greatest are:
$-7 \frac{15}{17}, \sqrt{49}, 7.\overline{7}, \frac{187}{24}$

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QuestionOrder these numbers from least to greatest. $\frac{187}{24}, \sqrt{49}, 7 . \overline{7},-7 \frac{15}{17}$
Note that for this question you can use your mouse to drag the $\frac{187}{24}$ $\sqrt{49}$ $7 . \overline{7}$ $-7 \frac{15}{17}$ $I$

Studdy Solution

STEP 1

1. We are given four numbers: $\frac{187}{24}$ , $\sqrt{49}$ , $7.\overline{7}$ , and $-7 \frac{15}{17}$ .
2. We need to convert each number into a comparable form, preferably decimal, to order them from least to greatest.

STEP 2

1. Convert each number to a decimal form.
2. Compare the decimal values.
3. Order the numbers from least to greatest.

STEP 3

Convert $\frac{187}{24}$ to a decimal.
$\frac{187}{24} \approx 7.7917$

STEP 4

Convert $\sqrt{49}$ to a decimal.
$\sqrt{49} = 7$

STEP 5

Convert $7.\overline{7}$ to a decimal.
$7.\overline{7} = 7.7777\ldots$

STEP 6

Convert $-7 \frac{15}{17}$ to a decimal.
$-7 \frac{15}{17} = -7 - \frac{15}{17} \approx -7.8824$

STEP 7

List the decimal values for comparison:
- $-7.8824$ - $7$ - $7.7777\ldots$ - $7.7917$

STEP 8

Order the numbers from least to greatest based on their decimal values:
1. $-7 \frac{15}{17}$
2. $\sqrt{49}$
3. $7.\overline{7}$
4. $\frac{187}{24}$
The numbers ordered from least to greatest are:
$-7 \frac{15}{17}, \sqrt{49}, 7.\overline{7}, \frac{187}{24}$

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Studdy Solution

STEP 1

1. We are given four numbers: 18724 \frac{187}{24} 24187​, 49 \sqrt{49} 49​, 7.7‾ 7.\overline{7} 7.7, and −71517 -7 \frac{15}{17} −71715​.2. We need to convert each number into a comparable form, preferably decimal, to order them from least to greatest.

STEP 2

1. Convert each number to a decimal form.2. Compare the decimal values.3. Order the numbers from least to greatest.

STEP 3

Convert 18724 \frac{187}{24} 24187​ to a decimal.18724≈7.7917 \frac{187}{24} \approx 7.7917 24187​≈7.7917

STEP 4

Convert 49 \sqrt{49} 49​ to a decimal.49=7 \sqrt{49} = 7 49​=7

STEP 5

Convert 7.7‾ 7.\overline{7} 7.7 to a decimal.7.7‾=7.7777… 7.\overline{7} = 7.7777\ldots 7.7=7.7777…

STEP 6

Convert −71517 -7 \frac{15}{17} −71715​ to a decimal.−71517=−7−1517≈−7.8824 -7 \frac{15}{17} = -7 - \frac{15}{17} \approx -7.8824 −71715​=−7−1715​≈−7.8824

STEP 7

List the decimal values for comparison:- −7.8824 -7.8824 −7.8824 - 7 7 7 - 7.7777… 7.7777\ldots 7.7777… - 7.7917 7.7917 7.7917

STEP 8

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1. We are given four numbers: $\frac{187}{24}$ , $\sqrt{49}$ , $7.\overline{7}$ , and $-7 \frac{15}{17}$ .
2. We need to convert each number into a comparable form, preferably decimal, to order them from least to greatest.

1. Convert each number to a decimal form.
2. Compare the decimal values.
3. Order the numbers from least to greatest.

Convert $\frac{187}{24}$ to a decimal.
$\frac{187}{24} \approx 7.7917$

Convert $\sqrt{49}$ to a decimal.
$\sqrt{49} = 7$

Convert $7.\overline{7}$ to a decimal.
$7.\overline{7} = 7.7777\ldots$

Convert $-7 \frac{15}{17}$ to a decimal.
$-7 \frac{15}{17} = -7 - \frac{15}{17} \approx -7.8824$

List the decimal values for comparison:
- $-7.8824$ - $7$ - $7.7777\ldots$ - $7.7917$