Question

For my maths homework the question is 7820 ÷ 22 we have to do the bus stop method and I got 346.33 but the answer is supposed to be 355.45 can someone tell me where I went wrong please

Answer 1

The image above is of what you should have done, but I'll talk you through it.
First, 22 does not go into 7, so you place a 0 and carry the 7 to make 78.

22 does go into 78, 3 times. 3 × 22 = 66. To find the remainder, you do 78 - 66 = 12, so you carry the 12 and make 122.

22 also goes into 122, 5 times, because 22 × 5 = 110. 122 - 110 = 12, so you carry the 12 again and make 120.

120 is divisible by 22 also as 22 × 5 = 110, so 120 - 110 = 10, which is what you carry to make 100.

22 only goes into 100 4 times to make 88, which means that 100 - 88 = 12, which you carry to make 120, and we've already seen that 120 ÷ 22 is 5 (remainder 10).

I hope this helps!

Answer 2

When you're using the bus stop method, you get the number on the outside and see how many times it goes in to the number on the inside.

22 doesn't go into 7, so you see how many times it goes into 78, and that's 3 times, with a remainder of 12 (78 - 66 = 12).

Then you add on the 12 to the next digit (which is 2), so you get 122. 22 goes 5 times into 122, with a remainder of 12. (122 - 110 = 12).

Then add on the remainder of 12 to the next digit (0), so you get 120. You have to see how many times 22 then goes into 120, which is 5 times, with a remainder of 10 (120 - 110 = 10).

Now, you have to add a decimal point to the 355 you currently have, because you now have to add a zero to 7820 to account for the remainder of 10. So add on a 0 and put the 10 in the corner, so you get 100. Now check how many times 22 goes into 100. You should get 4, with a remainder of 12.

Add on another 0 and add the remainder of 12 and you get 120. 22 goes in 5 times, with a remainder of 12, so you get 5, etc etc.

So then you get 355.45