Using Models to Understand Addition

Question

3 ones plus 8 ones is equal to ____ ones.

11 ones is the same as 1 ____ and 1 one. Trade in for a tens piece.

we have 1 ten plus 4 tens plus 3 tens. That's _____ tens.

We end up with 1 hundred, 8 tens and the 1 one or ____.

Answer 1

Let's break down the problem step-by-step using models for better understanding.

1. 3 ones plus 8 ones is equal to:

   • \(3 + 8 = 11\)
   • So, 11 ones.

2. 11 ones is the same as 1 ____ and 1 one:

   • 11 ones can be expressed as 1 ten and 1 one.
   • So, we can fill in the blank with ten.

3. We have 1 ten plus 4 tens plus 3 tens. That's:

   • \(1 + 4 + 3 = 8\)
   • So, that’s 8 tens.

4. We end up with 1 hundred, 8 tens and the 1 one or:

   • This could be expressed in words as 181 (1 hundred, 8 tens, and 1 one).

Putting it all together:

• 3 ones plus 8 ones is equal to 11 ones.
• 11 ones is the same as 1 ten and 1 one.
• We have 1 ten plus 4 tens plus 3 tens. That's 8 tens.
• We end up with 1 hundred, 8 tens, and the 1 one or 181.

This approach helps in visualizing addition and understanding place value.