# Answer to Question #11222 in Quantitative Methods for Mallory

Question #11222

Suppose you want to introduce a third grader to the standard algorithm for computing 181 + 331. Explain how to find the sum with base-ten blocks following the same sequence of steps as the standard algorithm.

Expert's answer

181 + 331

First, getting the sum of lowest block:

1 + 1 = 2

2 < 10, so:

Second, getting the sum of the next block:

8 + 3 = 11

11 > 10, so: 11 - 10 = 1 stay in this block and 10 / 10 = 1 will pass to the next block.

Thie rd, getting the sum of the highest block with the passed 1:

1 + 3 + 1 = 5

5 < 10, so the result is 512.

First, getting the sum of lowest block:

1 + 1 = 2

2 < 10, so:

Second, getting the sum of the next block:

8 + 3 = 11

11 > 10, so: 11 - 10 = 1 stay in this block and 10 / 10 = 1 will pass to the next block.

Thie rd, getting the sum of the highest block with the passed 1:

1 + 3 + 1 = 5

5 < 10, so the result is 512.

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