QuestionWrite a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: $5.25 \times 10^{3}$ , Blaire: $6.1 \times 10^{3}$ , Denzet: $5.78 \times 10^{2}$ , Piper: $3.5 \times 10$ .

Studdy Solution

STEP 1

Assumptions1. The number must be in scientific notation. . The number must be greater than500.
3. The number must be less than5,000.

STEP 2

First, we need to understand what a number in scientific notation means. A number in scientific notation is written as $a \times10^{b}$ , where $1 \leq a <10$ and $b$ is an integer.

STEP 3

Now, we need to evaluate each student's number to see if it meets the criteria.Justice's number is $5.25 \times10^{3}$ .
To convert this to standard form, we multiply $5.25$ by $10$ raised to the power of $3$ .
$5.25 \times10^{3} =5.25 \times1000$

STEP 4

Calculate Justice's number in standard form.
$.25 \times1000 =5250$

STEP 5

Now, we need to check if Justice's number meets the criteria. It is greater than $500$ but it is not less than $5000$ . So, Justice did not correctly complete the task.

STEP 6

Next, we evaluate Blaire's number, which is $6.1 \times10^{3}$ .
To convert this to standard form, we multiply $6.1$ by $10$ raised to the power of $3$ .
$6.1 \times10^{3} =6.1 \times1000$

STEP 7

Calculate Blaire's number in standard form.
$6.1 \times1000 =6100$

STEP 8

Now, we need to check if Blaire's number meets the criteria. It is greater than $500$ but it is not less than $5000$ . So, Blaire did not correctly complete the task.

STEP 9

Next, we evaluate Denzet's number, which is $5.78 \times^{2}$ .
To convert this to standard form, we multiply $5.78$ by $$ raised to the power of $2$.
$5.78 \times^{2} =5.78 \times100$

STEP 10

Calculate Denzet's number in standard form.
$5.78 \times100 =578$

STEP 11

Now, we need to check if Denzet's number meets the criteria. It is greater than $500$ and it is less than $5000$ . So, Denzet correctly completed the task.

STEP 12

Finally, we evaluate Piper's number, which is $.5 \times10$ .
To convert this to standard form, we multiply $.5$ by $10$ raised to the power of $$.
$.5 \times10 =.5 \times10$

STEP 13

Calculate Piper's number in standard form.
$3.5 \times10 =35$

STEP 14

Now, we need to check if Piper's number meets the criteria. It is not greater than $500$ and it is less than $5000$ . So, Piper did not correctly complete the task.
So, the only student who correctly completed the task is Denzet.

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QuestionWrite a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: $5.25 \times 10^{3}$ , Blaire: $6.1 \times 10^{3}$ , Denzet: $5.78 \times 10^{2}$ , Piper: $3.5 \times 10$ .

Studdy Solution

STEP 1

Assumptions1. The number must be in scientific notation. . The number must be greater than500.
3. The number must be less than5,000.

STEP 2

First, we need to understand what a number in scientific notation means. A number in scientific notation is written as $a \times10^{b}$ , where $1 \leq a <10$ and $b$ is an integer.

STEP 3

Now, we need to evaluate each student's number to see if it meets the criteria.Justice's number is $5.25 \times10^{3}$ .
To convert this to standard form, we multiply $5.25$ by $10$ raised to the power of $3$ .
$5.25 \times10^{3} =5.25 \times1000$

STEP 4

Calculate Justice's number in standard form.
$.25 \times1000 =5250$

STEP 5

Now, we need to check if Justice's number meets the criteria. It is greater than $500$ but it is not less than $5000$ . So, Justice did not correctly complete the task.

STEP 6

Next, we evaluate Blaire's number, which is $6.1 \times10^{3}$ .
To convert this to standard form, we multiply $6.1$ by $10$ raised to the power of $3$ .
$6.1 \times10^{3} =6.1 \times1000$

STEP 7

Calculate Blaire's number in standard form.
$6.1 \times1000 =6100$

STEP 8

Now, we need to check if Blaire's number meets the criteria. It is greater than $500$ but it is not less than $5000$ . So, Blaire did not correctly complete the task.

STEP 9

Next, we evaluate Denzet's number, which is $5.78 \times^{2}$ .
To convert this to standard form, we multiply $5.78$ by $$ raised to the power of $2$.
$5.78 \times^{2} =5.78 \times100$

STEP 10

Calculate Denzet's number in standard form.
$5.78 \times100 =578$

STEP 11

Now, we need to check if Denzet's number meets the criteria. It is greater than $500$ and it is less than $5000$ . So, Denzet correctly completed the task.

STEP 12

Finally, we evaluate Piper's number, which is $.5 \times10$ .
To convert this to standard form, we multiply $.5$ by $10$ raised to the power of $$.
$.5 \times10 =.5 \times10$

STEP 13

Calculate Piper's number in standard form.
$3.5 \times10 =35$

STEP 14

Now, we need to check if Piper's number meets the criteria. It is not greater than $500$ and it is less than $5000$ . So, Piper did not correctly complete the task.
So, the only student who correctly completed the task is Denzet.

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QuestionWrite a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: 5.25×1035.25 \times 10^{3}5.25×103, Blaire: 6.1×1036.1 \times 10^{3}6.1×103, Denzet: 5.78×1025.78 \times 10^{2}5.78×102, Piper: 3.5×103.5 \times 103.5×10.

Studdy Solution

STEP 1

Assumptions1. The number must be in scientific notation. . The number must be greater than500.3. The number must be less than5,000.

STEP 2

First, we need to understand what a number in scientific notation means. A number in scientific notation is written as a×10ba \times10^{b}a×10b, where 1≤a<101 \leq a <101≤a<10 and bbb is an integer.

STEP 3

STEP 4

Calculate Justice's number in standard form..25×1000=5250.25 \times1000 =5250.25×1000=5250

STEP 5

Now, we need to check if Justice's number meets the criteria. It is greater than 500500500 but it is not less than 500050005000. So, Justice did not correctly complete the task.

STEP 6

Next, we evaluate Blaire's number, which is 6.1×1036.1 \times10^{3}6.1×103.To convert this to standard form, we multiply 6.16.16.1 by 101010 raised to the power of 333.6.1×103=6.1×10006.1 \times10^{3} =6.1 \times10006.1×103=6.1×1000

STEP 7

Calculate Blaire's number in standard form.6.1×1000=61006.1 \times1000 =61006.1×1000=6100

STEP 8

Now, we need to check if Blaire's number meets the criteria. It is greater than 500500500 but it is not less than 500050005000. So, Blaire did not correctly complete the task.

STEP 9

Next, we evaluate Denzet's number, which is 5.78×25.78 \times^{2}5.78×2.To convert this to standard form, we multiply 5.785.785.78 by $$ raised to the power of $2$.5.78×2=5.78×1005.78 \times^{2} =5.78 \times1005.78×2=5.78×100

STEP 10

Calculate Denzet's number in standard form.5.78×100=5785.78 \times100 =5785.78×100=578

STEP 11

Now, we need to check if Denzet's number meets the criteria. It is greater than 500500500 and it is less than 500050005000. So, Denzet correctly completed the task.

STEP 12

Finally, we evaluate Piper's number, which is .5×10.5 \times10.5×10.To convert this to standard form, we multiply .5.5.5 by 101010 raised to the power of $$..5×10=.5×10.5 \times10 =.5 \times10.5×10=.5×10

STEP 13

Calculate Piper's number in standard form.3.5×10=353.5 \times10 =353.5×10=35

STEP 14

Now, we need to check if Piper's number meets the criteria. It is not greater than 500500500 and it is less than 500050005000. So, Piper did not correctly complete the task.So, the only student who correctly completed the task is Denzet.

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Studdy solves anything!

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

QuestionWrite a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: $5.25 \times 10^{3}$ , Blaire: $6.1 \times 10^{3}$ , Denzet: $5.78 \times 10^{2}$ , Piper: $3.5 \times 10$ .

Assumptions1. The number must be in scientific notation. . The number must be greater than500.
3. The number must be less than5,000.

First, we need to understand what a number in scientific notation means. A number in scientific notation is written as $a \times10^{b}$ , where $1 \leq a <10$ and $b$ is an integer.

Calculate Justice's number in standard form.
$.25 \times1000 =5250$

Now, we need to check if Justice's number meets the criteria. It is greater than $500$ but it is not less than $5000$ . So, Justice did not correctly complete the task.

Next, we evaluate Blaire's number, which is $6.1 \times10^{3}$ .
To convert this to standard form, we multiply $6.1$ by $10$ raised to the power of $3$ .
$6.1 \times10^{3} =6.1 \times1000$

Calculate Blaire's number in standard form.
$6.1 \times1000 =6100$

Now, we need to check if Blaire's number meets the criteria. It is greater than $500$ but it is not less than $5000$ . So, Blaire did not correctly complete the task.

Next, we evaluate Denzet's number, which is $5.78 \times^{2}$ .
To convert this to standard form, we multiply $5.78$ by $$ raised to the power of $2$.
$5.78 \times^{2} =5.78 \times100$

Calculate Denzet's number in standard form.
$5.78 \times100 =578$

Now, we need to check if Denzet's number meets the criteria. It is greater than $500$ and it is less than $5000$ . So, Denzet correctly completed the task.

Finally, we evaluate Piper's number, which is $.5 \times10$ .
To convert this to standard form, we multiply $.5$ by $10$ raised to the power of $$.
$.5 \times10 =.5 \times10$

Calculate Piper's number in standard form.
$3.5 \times10 =35$

Now, we need to check if Piper's number meets the criteria. It is not greater than $500$ and it is less than $5000$ . So, Piper did not correctly complete the task.
So, the only student who correctly completed the task is Denzet.