To solve the subtraction problem \( 131 - 12 \) using regrouping, we can follow these steps:
- Write the numbers vertically, aligned by place value:
131
- 12
-
Line these numbers up by place value, where the digits are aligned by units, tens, and hundreds.
-
Since we are subtracting 2 from 1 in the ones column and cannot do that without regrouping, we will regroup a ten from the tens place of 131 (which is 3) to make ones:
- Change the 3 in the tens place to a 2 (as we take 1 ten away).
- Add 10 to the 1 in the ones place, making it 11.
Now the numbers look like this:
120 (the new value of 131 after regrouping)
+ 11 (the new value in the ones place after regrouping)
- 12
Now we can subtract:
In the ones place:
- \( 11 - 2 = 9\)
In the tens place:
- \( 2 - 1 = 1\)
In the hundreds place:
- \( 1 - 0 = 1\)
Putting it all together, the answer is:
131
- 12
______
119
Our answer is 119.