Convert 632to a decimal using long division.(1 point)

Question

Responses

6.32
6.32

0.2
0.2

0.1875
0.1875

1.875

Answer 1

To convert the fraction \( \frac{632}{100} \) to a decimal using long division, we look at dividing 632 by 100.

1. Set up the division: 632 divided by 100.
2. 100 goes into 632 six times:
   • \( 6 \times 100 = 600 \)
   • Subtract 600 from 632: \( 632 - 600 = 32 \)
3. Since 100 cannot go into 32, we then include a decimal point and add a zero to 32 (making it 320).
4. 100 goes into 320 three times:
   • \( 3 \times 100 = 300 \)
   • Subtract 300 from 320: \( 320 - 300 = 20 \)
5. Add another zero to 20 (making it 200).
6. 100 goes into 200 exactly two times:
   • \( 2 \times 100 = 200 \)
   • Subtract 200 from 200: \( 200 - 200 = 0 \)

Putting this all together, we have:

• The integer part is 6.
• The first decimal is 3 (from 320).
• The second decimal is 2 (from 200).

So, \( \frac{632}{100} = 6.32 \).

Thus, the decimal representation of 632 is 6.32.