Bar Model — 9 + 10 = 19 — free printable diagram

What is 9 + 10?

This part-whole bar model shows 9 and 10 as the two parts of one whole. Adding the parts gives the whole, so 9 + 10 = 19.

First part

9

Second part

10

Whole

19

Addition

9 + 10 = 19

Subtraction

19 − 9 = 10

• A part-whole bar model shows the whole on one bar and the parts that make it on the bar underneath. Here the two parts are 9 and 10, and together they fill the whole bar of 19.
• The parts can be added in either order — swapping them does not change the whole: 9 + 10 = 10 + 9 = 19.
• Covering up one part turns the same picture into a subtraction: 19 − 9 = 10 and 19 − 10 = 9.
• That is the fact family for these three numbers — the model is the reason 9, 10 and 19 belong together, whichever way round you write them.