Final answer:
To calculate 25 divided by 157.5 in long division, place 25 inside the division bracket and 157.5 outside. Add decimal points and zeroes to 25 as needed and subtract multiples of 157.5 until a remainder is left that is smaller than 157.5, then continue the process. Remember to consider significant figures when finalizing your answer.
Step-by-step explanation:
To find out what 25 divided by 157.5 is using long division, we need to follow these steps:
- Place 25 inside the division bracket and 157.5 outside. Since 25 is less than 157.5, we will add a decimal point and zeroes to 25, making the problem 250.0 divided by 157.5.
- Next, see how many times 157.5 can be subtracted from 250.0. It goes in once, so we put 1 above the line and then multiply 1 by 157.5 and write the result (157.5) below 250.0.
- Subtract 157.5 from 250.0 to get the remainder, which is 92.5. Since 157.5 cannot go into 92.5, we add another zero to 92.5, making it 925.
- Now divide 925 by 157.5. This goes in 5 times (5 times 157.5 is 787.5), so we write 5 next to the 1 above the line.
- Subtract 787.5 from 925 to get the new remainder, which is 137.5.
- Repeat the division process by adding another zero, making 1375 divided by 157.5, and so on.
When dealing with significant figures, it's important to note that since 25 has two significant figures and 157.5 has four, the answer should be rounded to two significant figures, taking into account rules of significant figures for division.