Early Math · Grade K

Counting to 100 by Ones and by Tens

Quick answer

Counting means saying the numbers in the same order every time. Kindergarten children learn to count to 100 by ones and by tens, to start counting from any number instead of from 1, and to write the numbers from 0 to 20. Counting by tens works because each ten is ten ones, so it lands on the same totals in fewer steps.

What you'll learn

  • Count to 100 by ones and by tens
  • Count forward from any number, not only from 1
  • Write the numbers from 0 to 20

Count by ones

To count, say the numbers in the same order each time.

1,  2,  3,  4,  5,  6,  7,  8,  9,  101, \; 2, \; 3, \; 4, \; 5, \; 6, \; 7, \; 8, \; 9, \; 10

Point to one dot for each number you say.

Ten dots in a row A row of ten dots, in two groups of five.
Ten dots in a row

There are 1010 dots. Now keep going. The next ones are 1111, 1212, 1313, and on.

Count by tens

A ten-frame holds 1010 dots. When it is full, it shows a ten.

A full ten-frame A ten-frame with all ten boxes filled, five on top and five on the bottom.
A full ten-frame

Count full frames by tens. Say 1010, 2020, 3030, 4040, 5050. Then say 6060, 7070, 8080, 9090, 100100.

That is ten tens. Ten tens make 100100.

Why counting by tens works

Each full frame has 1010 dots in it. So each ten you say skips ahead by 1010 in one step.

Say you count 33 full frames by ones. You get to 3030. Now count them by tens: 1010, 2020, 3030. You land on 3030 once more.

The dots do not change. Only the way you count them does. Tens get you to the same place, but with far fewer steps.

Start at any number

You do not have to start at 11. You can start from the number you have.

Say you have 77 blocks. Then you get 33 more. Do not start at 11. Start at 77 and count on: 88, 99, 1010. Now you have 1010 blocks.

This is called counting on.

Write the numbers

Here are the numbers from 00 to 2020:

0123456789100 \quad 1 \quad 2 \quad 3 \quad 4 \quad 5 \quad 6 \quad 7 \quad 8 \quad 9 \quad 10 1112131415161718192011 \quad 12 \quad 13 \quad 14 \quad 15 \quad 16 \quad 17 \quad 18 \quad 19 \quad 20

The number 00 means none. A plate with no grapes on it has 00 grapes.

Worked examples

Common mistakes

Practice problems

  1. Count from 11 to 1010. What number comes after 66?

    Answer

    77

    Full solution

    Say 55, 66, 77. The one after 66 is 77.

  2. What comes next? 1717, 1818, 1919, ?

    Answer

    2020

    Full solution

    The ones got to 99, so the tens go up. After 1919 comes 2020.

  3. Count by tens from 1010 to 5050.

    Answer

    1010, 2020, 3030, 4040, 5050

    Full solution

    Each step jumps by 1010. That is 55 tens.

  4. Start at 55. Count on 33 more. Where do you end?

    Answer

    88

    Full solution

    Say 66, 77, 88. You end at 88.

  5. What comes after 3939?

    Answer

    4040

    Full solution

    The ones start over and 33 tens turns to 44 tens.

  6. How many dots? Write the number.

    How many dots? A ten-frame with nine dots: five on top and four on the bottom.
    How many dots?
    Answer

    99

    Full solution

    The top row has 55. Count on the rest: 66, 77, 88, 99.

  7. A plate has no cookies on it. What number tells how many?

    Answer

    00

    Full solution

    None at all is 00.

  8. What number is ten tens?

    Answer

    100100

    Full solution

    Count them by tens: 1010, 2020, 3030, and on. The tenth ten is 100100.

  9. Count on from 9090. Say the next 33 numbers.

    Answer

    9191, 9292, 9393

    Full solution

    The tens stay at 99. The ones go 11, 22, 33.

  10. Sam counts: 2626, 2727, 2828, 2929, 2020. What went wrong?

    Hint

    What happens to the tens after a 99?

    Answer

    After 2929 comes 3030, not 2020.

    Full solution

    At 2929 the ones are at 99. The next step makes a new ten.

    So 22 tens turns to 33 tens, and the ones go back to 00. The next number is 3030.

    Sam went back to 2020, which he had already passed.

Frequently asked questions

What order do the numbers go in?

The same order every time: 1, 2, 3, and so on. After 9 comes 10, after 19 comes 20, and after 99 comes 100.

What does counting by tens mean?

Saying every tenth number: 10, 20, 30, up to 100. It is faster than counting by ones and reaches the same numbers.

What is counting on?

Starting from a number other than 1. To count on from 7, say 8, 9, 10 without starting over.

What does 0 mean?

None. A plate with no apples on it has 0 apples.

What comes after 29?

30. The tens number goes up by one and the ones start again: 28, 29, 30, 31.

What to learn next

Standards alignment

This lesson covers the following Common Core State Standards for Mathematics.

  • CCSS.MATH.CONTENT.K.CC.A.1Counting and CardinalityCount to 100 by ones and by tens.
  • CCSS.MATH.CONTENT.K.CC.A.2Counting and CardinalityCount forward beginning from a given number within the known sequence (instead of having to begin at 1).
  • CCSS.MATH.CONTENT.K.CC.A.3Counting and CardinalityWrite numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).