Fill in the blanks

Question

Lets explore why carrying works. First, write each number in expanded form.
_ 10
900 + _ + 6
+200 + 80 + 7
------------------------
_ + 200 + _ + 3
Adding all of these numbers together we get 1,243.

Answer 1

To fill in the blanks, we can break down the numbers to align with their expanded forms.

1. The first blank (for _ 10) could be 1, which gives us 1 10 or simply 10.

2. The second blank (in 900 + _ + 6) must be 4, giving us 900 + 4 + 6, which adds up to 910.

3. The third blank (in _ + 200 + _ + 3) must accommodate the totals to reach 1,243.

   • Since we need to account for (910 + 200 + 80 + 7) = 1,197, this indicates the number in the first blank must be 1 (for 1 10) and the remaining (in the third blank) must be 10 (for 10 + 200).

Putting this together:

1. 1 10
2. 900 + 4 + 6
3. 1 + 200 + 10 + 3

Thus, the filled in blanks are:

1. 1
2. 4
3. 10

Final Answer: 1, 4, and 10 respectively.