Question

long division method 500 step by step​

Answer 1

Step 1)

Set up 500 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:

50000

Step 2)

Starting with the first set: the largest perfect square less than or equal to 5 is 4, and the square root of 4 is 2. Therefore, put 2 on top and 4 at the bottom like this:

2500004

Step 3)

Calculate 5 minus 4 and put the difference below. Then move down the next set of numbers.

2500004100

Step 4)

Double the number in green on top: 2 × 2 = 4. Then, use 4 and the bottom number to make this problem:

4? × ? ≤ 100

The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 2. Replace the question marks in the problem with 2 to get:

42 × 2 = 84.

Now, enter 2 on top, and 84 at the bottom:

22500004100084

Step 5)

Calculate 100 minus 84 and put the difference below. Then move down the next set of numbers.

2250000410008401600

Step 6)

Double the number in green on top: 22 × 2 = 44. Then, use 44 and the bottom number to make this problem:

44? × ? ≤ 1600

The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 3. Now, enter 3 on top:

22350000410008401600

That's it! The answer is on top. The square root of 500 with one digit decimal accuracy is 22.3. Did you notice that the last two steps repeat the previous two steps. You can add decimals by simply adding more sets of 00 and repeating the last two steps over and over.

hope it helps...