write 5/8 as a decimal long division
The Correct Answer and Explanation is:
To convert the fraction 5/8 into a decimal using long division, follow these steps:
Step 1: Set up the division
You are dividing 5 by 8. This means you are trying to see how many times 8 fits into 5.
Step 2: Begin the division
- 8 doesn’t go into 5. So, put a 0 before the decimal point.
- Now, append a 0 to the 5, making it 50.
Step 3: Divide 50 by 8
- 8 goes into 50 6 times because 8 × 6 = 48.
- Write 6 after the decimal point.
- Subtract 50 – 48 = 2. Now, bring down another 0 to make it 20.
Step 4: Divide 20 by 8
- 8 goes into 20 2 times because 8 × 2 = 16.
- Write 2 after the 6.
- Subtract 20 – 16 = 4. Bring down another 0, making it 40.
Step 5: Divide 40 by 8
- 8 goes into 40 exactly 5 times because 8 × 5 = 40.
- Write 5 after the 2.
- Subtract 40 – 40 = 0.
Now, the remainder is 0, and we are done. The result of dividing 5 by 8 is 0.625.
Final Answer:
The decimal equivalent of 5/8 is 0.625.
Explanation:
The long division method is simply dividing the numerator (5) by the denominator (8). This allows us to find the decimal representation. The division process involves adding decimals and bringing down additional zeros until the remainder is zero. Since we get a remainder of zero, we know that the decimal representation is exact and terminates at 0.625. This is useful because it tells you how much 5/8 equals in a more usable decimal format.
