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Ages 7+ · Abacus · Mental abacus
Flash numbers
tensones36
Three tens and six ones: 36, read in a flash.
The big ideaRead a frame by its rows, tens first. For a full row, look at the gap.

How it works

Counting every bead is too slow for a flash, so read the rows instead.

Look at the top row first, then the row below: say the tens, then the ones.

For a nearly full row, look at the gap: eight across leaves a gap of two.

A third row on top holds the hundreds. An empty row is a zero, but it still holds its place.

tensones49
Nine across leaves a gap of one: 49.
hundredstensones205
An empty middle row still counts: 205.

Example 1: Flash: 52

  1. Read the top row: five beads, five tens.
  2. Read the row below: two beads, two ones.
  3. Five tens and two ones make 52.
tensones52
Five tens and two ones: 52.

Example 2: A nearly full row: 49

  1. The ones row has nine across.
  2. Look at the gap: only one bead is left behind.
  3. Ten take away one is nine, so there are nine ones.
  4. Four tens and nine ones make 49.

Example 3: Three rows: 147

  1. Top row: one bead, one hundred.
  2. Middle row: four beads, four tens.
  3. Bottom row: seven beads, seven ones.
  4. The number is 147.
hundredstensones147
One hundred, four tens and seven ones: 147.

Example 4: An empty row: 205

  1. Top row: two beads, two hundreds.
  2. Middle row: nothing, so say zero tens.
  3. Bottom row: five ones.
  4. The number is 205, not 25.

Example 5: Reading gaps

  1. Nine across leaves a gap of one: 10 − 9 = 1.
  2. Eight across leaves a gap of two: 10 − 8 = 2.
  3. Seven across leaves a gap of three: 10 − 7 = 3.

Words to know

flash
A quick look, so you must read by rows.
gap
The beads left behind in a row. Ten take away the beads across.
tens row
The row above the ones row.
zero
An empty row. It still holds its place.

Watch out

Try it

  1. A ones row has nine across. How many are in the gap?
  2. Flash: seven tens and three ones. Which number?
  3. Two hundreds, five tens and an empty ones row. Which number?
  4. Three hundreds, no tens and six ones. Which number?
Answers: 1. One · 2. 73 · 3. 250 · 4. 306
Try at homeAsk a grown-up to set out buttons or coins in tens and ones, with a few loose ones beside. Cover them with a cloth, lift it for a blink and say how many, taking as long as you like. Then swap!
For grown-upsSet out buttons or coins in tens and a few loose ones, cover them with a cloth, lift it for a blink and ask how many. When the cloth is off, your child can take as long as they like. Swap turns.
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