Question

Which smallest number must be assigned to # to make the number 378#96 divisible by 8?

Answer 1

Answer:

the number 379 82 number

Answer 2

Given:

The given number is $378$#$96$.

To find:

The smallest value of # so the the given number is divisible by $8$.

Step by step explanation:        

• There are quite a large set of numbers that can be assigned to # to make the given number $378$#$96$ divisible by $8$.
• First let the value of # be $1$.
• If we assign the value of # as $1$ then the given number becomes $378196$.
• Now divide the number $378196$ by $8$ to see whether the number is divisible by $8$ or not,

        $\frac{378196}{8} = 47274.5$

• As we can see clearly that assigning the value of # as $1$ does not make the given number divisible by $8$ as it leaves the remainder.
• Now let us assign the value of # as $2$.
• If we assign the value of # as $2$ then the given number becomes $378296$.
• Now divide the number $378296$ by $8$ to check whether the number is divisible by $8$ or not,

        $\frac{378296}{8}=47287$

• As we can see clearly that assigning the value of # as $2$ makes the given number exactly divisible by $8$ since it does not leave any remainder.
• so, $378296$ is exactly divisible by $8$.  

Final answer:

The smallest value of # that is assigned to the number $378$#$96$ to make the number exactly divisible by $8$ is $2$.