Help please

During a food drive, a school collected 217 cans of peas and
217
186 cans of corn. The problem at the right can be used to find
186
how many more cans of peas were collected than cans of corn.
Fill in the blanks to explain how to regroup when solving the problem.
Since
tens cannot be subtracted from 1 ten, regroup 2 hundreds
as
hundred(s) and 10 tens. Then combine all the tens in the top
number for a total of
tens. The school collected
more cans of peas than cans of corn. ​

Respuesta :

Answer:

31 (i.e 3 tens and 1 unit)

Step-by-step explanation:

217 can be split up as,

2 hundreds, 1 tens, and 7 units.

186 can be split up as,

1 hundred, 8 tens and 6 units

If we solve straight we'll have

(2-1)hundreds + (1-8)tens + (7-6)units.

(1-8)tens will give a negative value, complicating the operation.

To make our operation easier we can use the fact that 1 hundred is equal to 10 ten to further split the 217, and it becomes

1 hundred, 11 tens and 7 units.

The operation becomes

(1-1)hundreds + (11 - 8)tens + (7-6)units

= 0 hundred + 3tens + 1 unit

= 3 tens + 1unit

= (3 x 10) + 1 = 31

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