Math / Numbers & Operations

QuestionOrder the following numbers from least to greatest:
$\frac{35}{2}, \ 8^{3}, \ 4.8 \times 10^{2}, \ 3^{6}, \ 1.7 \times 10^{3}, \ 51.2\%$

Studdy Solution

STEP 1

1. All numbers should be converted to a common form (either decimal or fraction) for easy comparison.
2. Percentages should be converted to their decimal equivalents.
3. Exponential forms should be evaluated to their decimal forms.

STEP 2

1. Convert all numbers to decimal form.
2. List the decimal forms of each number for comparison.
3. Order the decimal forms from least to greatest.

STEP 3

Convert $\frac{35}{2}$ to decimal form.
$\frac{35}{2} = 17.5$

STEP 4

Convert $8^3$ to decimal form.
$8^3 = 8 \times 8 \times 8 = 512$

STEP 5

Convert $4.8 \times 10^2$ to decimal form.
$4.8 \times 10^2 = 4.8 \times 100 = 480$

STEP 6

Convert $3^6$ to decimal form.
$3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 729$

STEP 7

Convert $1.7 \times 10^3$ to decimal form.
$1.7 \times 10^3 = 1.7 \times 1000 = 1700$

STEP 8

Convert $51.2\%$ to decimal form.
$51.2\% = \frac{51.2}{100} = 0.512$

STEP 9

List all the numbers in decimal form:
$17.5, \ 512, \ 480, \ 729, \ 1700, \ 0.512$

STEP 10

Order the decimal forms from least to greatest:
$0.512, \ 17.5, \ 480, \ 512, \ 729, \ 1700$
Solution: The numbers ordered from least to greatest are:
$51.2\%, \ \frac{35}{2}, \ 4.8 \times 10^{2}, \ 8^3, \ 3^6, \ 1.7 \times 10^{3}$

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QuestionOrder the following numbers from least to greatest:
$\frac{35}{2}, \ 8^{3}, \ 4.8 \times 10^{2}, \ 3^{6}, \ 1.7 \times 10^{3}, \ 51.2\%$

Studdy Solution

STEP 1

1. All numbers should be converted to a common form (either decimal or fraction) for easy comparison.
2. Percentages should be converted to their decimal equivalents.
3. Exponential forms should be evaluated to their decimal forms.

STEP 2

1. Convert all numbers to decimal form.
2. List the decimal forms of each number for comparison.
3. Order the decimal forms from least to greatest.

STEP 3

Convert $\frac{35}{2}$ to decimal form.
$\frac{35}{2} = 17.5$

STEP 4

Convert $8^3$ to decimal form.
$8^3 = 8 \times 8 \times 8 = 512$

STEP 5

Convert $4.8 \times 10^2$ to decimal form.
$4.8 \times 10^2 = 4.8 \times 100 = 480$

STEP 6

Convert $3^6$ to decimal form.
$3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 729$

STEP 7

Convert $1.7 \times 10^3$ to decimal form.
$1.7 \times 10^3 = 1.7 \times 1000 = 1700$

STEP 8

Convert $51.2\%$ to decimal form.
$51.2\% = \frac{51.2}{100} = 0.512$

STEP 9

List all the numbers in decimal form:
$17.5, \ 512, \ 480, \ 729, \ 1700, \ 0.512$

STEP 10

Order the decimal forms from least to greatest:
$0.512, \ 17.5, \ 480, \ 512, \ 729, \ 1700$
Solution: The numbers ordered from least to greatest are:
$51.2\%, \ \frac{35}{2}, \ 4.8 \times 10^{2}, \ 8^3, \ 3^6, \ 1.7 \times 10^{3}$

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QuestionOrder the following numbers from least to greatest:352, 83, 4.8×102, 36, 1.7×103, 51.2%\frac{35}{2}, \ 8^{3}, \ 4.8 \times 10^{2}, \ 3^{6}, \ 1.7 \times 10^{3}, \ 51.2\%235​, 83, 4.8×102, 36, 1.7×103, 51.2%

Studdy Solution

STEP 1

1. All numbers should be converted to a common form (either decimal or fraction) for easy comparison.2. Percentages should be converted to their decimal equivalents.3. Exponential forms should be evaluated to their decimal forms.

STEP 2

1. Convert all numbers to decimal form.2. List the decimal forms of each number for comparison.3. Order the decimal forms from least to greatest.

STEP 3

Convert 352 \frac{35}{2} 235​ to decimal form.352=17.5 \frac{35}{2} = 17.5 235​=17.5

STEP 4

Convert 83 8^3 83 to decimal form.83=8×8×8=512 8^3 = 8 \times 8 \times 8 = 512 83=8×8×8=512

STEP 5

Convert 4.8×102 4.8 \times 10^2 4.8×102 to decimal form.4.8×102=4.8×100=480 4.8 \times 10^2 = 4.8 \times 100 = 480 4.8×102=4.8×100=480

STEP 6

Convert 36 3^6 36 to decimal form.36=3×3×3×3×3×3=729 3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 729 36=3×3×3×3×3×3=729

STEP 7

Convert 1.7×103 1.7 \times 10^3 1.7×103 to decimal form.1.7×103=1.7×1000=1700 1.7 \times 10^3 = 1.7 \times 1000 = 1700 1.7×103=1.7×1000=1700

STEP 8

Convert 51.2% 51.2\% 51.2% to decimal form.51.2%=51.2100=0.512 51.2\% = \frac{51.2}{100} = 0.512 51.2%=10051.2​=0.512

STEP 9

List all the numbers in decimal form:17.5, 512, 480, 729, 1700, 0.512 17.5, \ 512, \ 480, \ 729, \ 1700, \ 0.512 17.5, 512, 480, 729, 1700, 0.512

STEP 10

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QuestionOrder the following numbers from least to greatest:
$\frac{35}{2}, \ 8^{3}, \ 4.8 \times 10^{2}, \ 3^{6}, \ 1.7 \times 10^{3}, \ 51.2\%$

1. All numbers should be converted to a common form (either decimal or fraction) for easy comparison.
2. Percentages should be converted to their decimal equivalents.
3. Exponential forms should be evaluated to their decimal forms.

1. Convert all numbers to decimal form.
2. List the decimal forms of each number for comparison.
3. Order the decimal forms from least to greatest.

Convert $\frac{35}{2}$ to decimal form.
$\frac{35}{2} = 17.5$

Convert $8^3$ to decimal form.
$8^3 = 8 \times 8 \times 8 = 512$

Convert $4.8 \times 10^2$ to decimal form.
$4.8 \times 10^2 = 4.8 \times 100 = 480$

Convert $3^6$ to decimal form.
$3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 729$

Convert $1.7 \times 10^3$ to decimal form.
$1.7 \times 10^3 = 1.7 \times 1000 = 1700$

Convert $51.2\%$ to decimal form.
$51.2\% = \frac{51.2}{100} = 0.512$

List all the numbers in decimal form:
$17.5, \ 512, \ 480, \ 729, \ 1700, \ 0.512$