Tutorpip← About this lessonOpen the sheet →Download PDF
Ages 7+ · Abacus · Adding
Adding two-digit numbers
tensones43
43 on the frame: four tens and three ones.
The big ideaAdd the tens and the ones on their own rows. The order does not matter.

How it works

Every number comes apart into tens and ones, and each has its own row on the frame.

Add tens to tens on the top row, and ones to ones on the bottom row.

Tens first or ones first, the answer is the same.

A row with no beads is zero, so an empty row simply fills up.

tensones68
The answer, 68: six tens and eight ones.

Example 1: Tens first

  1. Put 43 on the frame: four tens and three ones.
  2. Slide 2 tens across the top row: 4 + 2 = 6 tens.
  3. Slide 5 ones across the bottom row: 3 + 5 = 8 ones.
  4. 43 + 25 = 68
tensones68
6 tens and 8 ones is 68.

Example 2: Ones first

  1. Put 34 on the frame.
  2. Add the ones first: 4 + 2 = 6 ones.
  3. Then add the tens: 3 + 6 = 9 tens.
  4. 34 + 62 = 96
tensones96
9 tens and 6 ones is 96.

Example 3: An empty row

  1. 60 is six tens and no ones, so the ones row starts empty.
  2. Add 9 ones: 0 + 9 = 9 ones.
  3. Add 2 tens: 6 + 2 = 8 tens.
  4. 60 + 29 = 89
tensones89
8 tens and 9 ones is 89.

Example 4: Check it makes sense

  1. Ben has 26 stickers and Mia brings 33 more.
  2. Tens: 2 + 3 = 5 tens. Ones: 6 + 3 = 9 ones.
  3. 26 + 33 = 59
  4. Does it make sense? 20 and 30 make 50, and a few more is 59.

Words to know

tens row
The top row on a two-row frame. Each bead is worth ten.
ones row
The bottom row. Each bead is worth one.
place
Where a digit sits: in the tens or in the ones.
zero
A row with no beads slid across.

Watch out

Try it

  1. What is 51 + 27?
  2. What is 34 + 62?
  3. What is 50 + 38?
  4. A frame shows 4 tens and 6 ones. Add 3 tens and 2 ones. What number is it?
Answers: 1. 78 · 2. 96 · 3. 88 · 4. 78
Try at homePick two numbers under fifty with no carrying, like twenty-four and thirty-five. Ask a grown-up to count them all, one by one, while you add the tens and the ones on their own, and see who finishes first. Then swap jobs!
For grown-upsLet your child say it aloud as they slide the beads: say the tens, say the ones, check it makes sense.
Open these notes on screenScan the code, or go to tutorpip.com.