Bar Model — 7 + 9 = 16 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Bar Model — 7 + 9 = 16

About this illustration

Part-part-whole bar model showing the whole 16 split into two parts 7 (blue) and 9 (amber). Singapore math style for teaching addition, subtraction, problem solving.

What is 7 + 9?

This part-whole bar model shows 7 and 9 as the two parts of one whole. Adding the parts gives the whole, so 7 + 9 = 16.

First part
7
Second part
9
Whole
16
Addition
7 + 9 = 16
Subtraction
16 − 7 = 9
  • 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 7 and 9, and together they fill the whole bar of 16.
  • The parts can be added in either order — swapping them does not change the whole: 7 + 9 = 9 + 7 = 16.
  • Covering up one part turns the same picture into a subtraction: 16 − 7 = 9 and 16 − 9 = 7.
  • That is the fact family for these three numbers — the model is the reason 7, 9 and 16 belong together, whichever way round you write them.

How to use

  1. 1Right-click the image and choose “Save image as”, or use the download button.
  2. 2Use it in your classroom worksheets, slides or printables — free under CC BY-NC 4.0.
  3. 3Attribute as “Image by Kuraplan” or link back to kuraplan.com. Not for commercial resale.

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