Math Snap

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.
$$3.5 \times10 =35$$

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.