Tutorpip← About this lessonOpen the sheet →Download PDF
Ages 5+ · Abacus · Adding
Adding without carrying
tensones23
23 on the frame: two tens on top and three ones below.
The big ideaOnes go with ones. Tens go with tens. Each row adds on its own.

How it works

The frame has two rows. The top row is tens and the bottom row is ones.

Loose beads are ones, so they go on the bottom row.

A bag of ten is a ten, so it goes on the top row.

Add ones with ones, and tens with tens.

tensones
24: two tens and four ones.
🔵ones: bottom row🛍️a bag of ten: top row
Ones join ones, and tens join tens.

Example 1: 24 + 3

  1. Show 24: two beads on the tens row and four on the ones row.
  2. Three loose beads are ones: slide three across on the ones row.
  3. The tens row does not move.
  4. 4 + 3 = 7, so there are 2 tens and 7 ones.
  5. 24 + 3 = 27
tensones27
24 + 3 = 27

Example 2: 32 + 15

  1. Show 32: three tens and two ones.
  2. Add the ones first: 2 + 5 = 7.
  3. Add the tens next: 3 + 1 = 4.
  4. Read both rows: 4 tens and 7 ones.
  5. 32 + 15 = 47
tensones47
32 + 15 = 47

Example 3: 41 + 28

  1. Show 41: four tens and one one.
  2. Ones: 1 + 8 = 9.
  3. Tens: 4 + 2 = 6.
  4. 41 + 28 = 69
tensones69
41 + 28 = 69

Example 4: 14 + 5

  1. Show 14: one ten and four ones.
  2. Five loose beads are ones, so only the ones row moves.
  3. 4 + 5 = 9, and the ten stays.
  4. 14 + 5 = 19
tensones19
14 + 5 = 19

Words to know

tens row
The top row. Each bead is one ten.
ones row
The bottom row. Each bead is one.
a bag of ten
Ten beads together: one ten.
add
To put numbers together.

Watch out

Try it

  1. What is 24 + 3?
  2. What is 32 + 15?
  3. Which row do loose beads go on?
  4. What is 14 + 5?
Answers: 1. 27 · 2. 47 · 3. The ones row, at the bottom · 4. 19
Try at homeAsk a grown-up for two small piles of buttons or blocks, and make groups of ten in each pile with the loose ones beside them. Then push the piles together and add the ones first, then the tens.
For grown-upsMake two small piles of buttons, group each into tens with the loose ones beside it, then join them: ones first, then tens.
Open these notes on screenScan the code, or go to tutorpip.com.