Use long division to convert 2716

Question

to a decimal.(1 point)
Responses

2.4375
2.4375

2.2875
2.2875

0.4375
0.4375

2.716

Answer 1

To convert the number 2716 to a decimal using long division, we can interpret this as dividing 2716 by 1000 since we want to see how many times 1000 fits into 2716, and then obtain the decimal representation.

Here’s how you can do it:

1. Start by dividing 2716 by 1000.

   • 1000 goes into 2716 two times (2 x 1000 = 2000).

2. Subtract 2000 from 2716:

   \[ 2716 - 2000 = 716 \]

3. Now, to express the remainder, we look at the next smaller place value since we've used two whole numbers and are left with a remainder. We are essentially looking at how we can express 716 in a decimal format.

So, 716 is essentially \(716/1000\), which is equal to 0.716.

4. Therefore, when you combine the integer part with the decimal part, you get:

\[ 2 + 0.716 = 2.716 \]

Thus, the conversion of 2716 to a decimal results in:

2.716.

Among the options given, the correct response is:

2.716.