Solved on Aug 16, 2023

1. Order $-42, -13, 6, 38$ from least to greatest: $-42 \leq -13 \leq 6 \leq 38$ . 2. Order $-6 \frac{1}{2}, -5 \frac{1}{2}, -4, -6$ from least to greatest: $-6 \frac{1}{2} \leq -6 \leq -5 \frac{1}{2} \leq -4$ . 3. Order $-8.999, 0, 17.56, -8 \frac{2}{3}$ from least to greatest: $-8.999 \leq 0 \leq -8 \frac{2}{3} \leq 17.56$ . 4. Order $-\frac{4}{10}, \frac{1}{3}, 1 \frac{8}{9}, -5$ from least to greatest: $-5 \leq -\frac{4}{10} \leq \frac{1}{3} \leq 1 \frac{8}{9}$ .

STEP 1

Assumptions1. The sets of numbers given are - Set1 $38, -42, -13,6$ - Set $-5 \frac{1}{}, -4, -6 \frac{1}{}, -6$ - Set3 $17.56, -8 \frac{}{3},0, -8.999$ - Set4 $\frac{1}{3}, -\frac{4}{10},1 \frac{8}{9}, -5$ . The task is to order each set of numbers from least to greatest.
3. The ordered sets should be written as inequality statements.

STEP 2

We start with the first set of numbers. The numbers are $38, -42, -13,6$ . We can see that $-42$ is the smallest number, followed by $-13$ , then $6$ , and finally $38$ is the largest number.

STEP 3

Write the first set of numbers as an inequality statement from least to greatest.
$-42 \leq -13 \leq6 \leq38$

STEP 4

Next, we move to the second set of numbers $- \frac{1}{2}, -4, -6 \frac{1}{2}, -6$ . The smallest number is $-6 \frac{1}{2}$ , followed by $-6$ , then $- \frac{1}{2}$ , and finally $-4$ is the largest number.

STEP 5

Write the second set of numbers as an inequality statement from least to greatest.
$- \frac{1}{2} \leq - \leq -5 \frac{1}{2} \leq -4$

STEP 6

Next, we move to the third set of numbers $17.56, -8 \frac{2}{3},0, -8.999$ . The smallest number is $-8.999$ , followed by $-8 \frac{2}{3}$ , then $0$ , and finally $17.56$ is the largest number.

STEP 7

Write the third set of numbers as an inequality statement from least to greatest.
$-.999 \leq - \frac{2}{3} \leq0 \leq17.56$

STEP 8

Finally, we move to the fourth set of numbers $\frac{1}{3}, -\frac{4}{10},1 \frac{8}{}, -5$ . The smallest number is $-5$ , followed by $-\frac{4}{10}$ , then $\frac{1}{3}$ , and finally $1 \frac{8}{}$ is the largest number.

STEP 9

Write the fourth set of numbers as an inequality statement from least to greatest.
$-5 \leq -\frac{4}{} \leq \frac{}{3} \leq \frac{8}{9}$ The ordered sets of numbers are. $-42 \leq -13 \leq6 \leq38$
2. $-6 \frac{}{2} \leq -6 \leq -5 \frac{}{2} \leq -4$
3. $-8.999 \leq -8 \frac{2}{3} \leq \leq17.56$
4. $-5 \leq -\frac{4}{} \leq \frac{}{3} \leq \frac{8}{9}$

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STEP 1

STEP 2

We start with the first set of numbers. The numbers are $38, -42, -13,6$ . We can see that $-42$ is the smallest number, followed by $-13$ , then $6$ , and finally $38$ is the largest number.

STEP 3

Write the first set of numbers as an inequality statement from least to greatest.
$-42 \leq -13 \leq6 \leq38$

STEP 4

Next, we move to the second set of numbers $- \frac{1}{2}, -4, -6 \frac{1}{2}, -6$ . The smallest number is $-6 \frac{1}{2}$ , followed by $-6$ , then $- \frac{1}{2}$ , and finally $-4$ is the largest number.

STEP 5

Write the second set of numbers as an inequality statement from least to greatest.
$- \frac{1}{2} \leq - \leq -5 \frac{1}{2} \leq -4$

STEP 6

Next, we move to the third set of numbers $17.56, -8 \frac{2}{3},0, -8.999$ . The smallest number is $-8.999$ , followed by $-8 \frac{2}{3}$ , then $0$ , and finally $17.56$ is the largest number.

STEP 7

Write the third set of numbers as an inequality statement from least to greatest.
$-.999 \leq - \frac{2}{3} \leq0 \leq17.56$

STEP 8

Finally, we move to the fourth set of numbers $\frac{1}{3}, -\frac{4}{10},1 \frac{8}{}, -5$ . The smallest number is $-5$ , followed by $-\frac{4}{10}$ , then $\frac{1}{3}$ , and finally $1 \frac{8}{}$ is the largest number.

STEP 9

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STEP 1

STEP 2

We start with the first set of numbers. The numbers are 38,−42,−13,638, -42, -13,638,−42,−13,6. We can see that −42-42−42 is the smallest number, followed by −13-13−13, then 666, and finally 383838 is the largest number.

STEP 3

Write the first set of numbers as an inequality statement from least to greatest.−42≤−13≤6≤38-42 \leq -13 \leq6 \leq38−42≤−13≤6≤38

STEP 4

Next, we move to the second set of numbers −12,−4,−612,−6- \frac{1}{2}, -4, -6 \frac{1}{2}, -6−21​,−4,−621​,−6. The smallest number is −612-6 \frac{1}{2}−621​, followed by −6-6−6, then −12- \frac{1}{2}−21​, and finally −4-4−4 is the largest number.

STEP 5

Write the second set of numbers as an inequality statement from least to greatest.−12≤−≤−512≤−4- \frac{1}{2} \leq - \leq -5 \frac{1}{2} \leq -4−21​≤−≤−521​≤−4

STEP 6

Next, we move to the third set of numbers 17.56,−823,0,−8.99917.56, -8 \frac{2}{3},0, -8.99917.56,−832​,0,−8.999. The smallest number is −8.999-8.999−8.999, followed by −823-8 \frac{2}{3}−832​, then 000, and finally 17.5617.5617.56 is the largest number.

STEP 7

Write the third set of numbers as an inequality statement from least to greatest.−.999≤−23≤0≤17.56-.999 \leq - \frac{2}{3} \leq0 \leq17.56−.999≤−32​≤0≤17.56

STEP 8

Finally, we move to the fourth set of numbers 13,−410,18,−5\frac{1}{3}, -\frac{4}{10},1 \frac{8}{}, -531​,−104​,18​,−5. The smallest number is −5-5−5, followed by −410-\frac{4}{10}−104​, then 13\frac{1}{3}31​, and finally 181 \frac{8}{}18​ is the largest number.

STEP 9

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We start with the first set of numbers. The numbers are $38, -42, -13,6$ . We can see that $-42$ is the smallest number, followed by $-13$ , then $6$ , and finally $38$ is the largest number.

Write the first set of numbers as an inequality statement from least to greatest.
$-42 \leq -13 \leq6 \leq38$

Next, we move to the second set of numbers $- \frac{1}{2}, -4, -6 \frac{1}{2}, -6$ . The smallest number is $-6 \frac{1}{2}$ , followed by $-6$ , then $- \frac{1}{2}$ , and finally $-4$ is the largest number.

Write the second set of numbers as an inequality statement from least to greatest.
$- \frac{1}{2} \leq - \leq -5 \frac{1}{2} \leq -4$

Next, we move to the third set of numbers $17.56, -8 \frac{2}{3},0, -8.999$ . The smallest number is $-8.999$ , followed by $-8 \frac{2}{3}$ , then $0$ , and finally $17.56$ is the largest number.

Write the third set of numbers as an inequality statement from least to greatest.
$-.999 \leq - \frac{2}{3} \leq0 \leq17.56$

Finally, we move to the fourth set of numbers $\frac{1}{3}, -\frac{4}{10},1 \frac{8}{}, -5$ . The smallest number is $-5$ , followed by $-\frac{4}{10}$ , then $\frac{1}{3}$ , and finally $1 \frac{8}{}$ is the largest number.