Grade 2 · lesson 1 of 4

Exchange Ten Tens for a Hundred

Group the supplied tens into sets of ten tens.

About 15 minutes, plus any extended practice

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Supplied materials

  • Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
  • Supplied worked-case record: Twelve tens represent 120 ones.
  • All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.

Learn the idea

Base ten builds a new place when ten units of the previous place are collected. Ten ones make one ten and ten tens make one hundred. An exchange preserves the amount while making the model easier to read. More than nine tens can be regrouped.

Group the supplied tens into sets of ten tens. Rename each full set as a hundred, leaving any extra tens separate. Convert the model to a numeral and check its total number of ones.

Label every tens group with its value of ten. A count of tens must be multiplied by ten to name the whole value. Draw bundles of ten tens and mark their exchange for a hundred.

  1. Draw bundles of ten tens and mark their exchange for a hundred.
  2. Follow the worked example. Point to each number or shape feature and say what it tells you.
  3. Group the supplied tens into sets of ten tens.
  4. Try the question and then the three practice questions. Check your answers and explain any change you make.
Worked example

See the method in action

Twelve tens represent 120 ones. Ten tens form one hundred and two tens remain, so the model is one hundred and two tens. Its numeral is 120. Twelve tens are not twelve ones; every original group was worth ten. Label every tens group with its value of ten. A count of tens must be multiplied by ten to name the whole value. Draw bundles of ten tens and mark their exchange for a hundred.

Your turn

Check your reasoning

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Helpful tips
  • Label every tens group with its value of ten.
  • A count of tens must be multiplied by ten to name the whole value.
A model contains 11 tens. How many ones does it represent?

Feedback appears here after you check. This is practice, not a graded school assessment.

See the answer and explanation

110

Each ten is ten ones; groups can be exchanged without changing the value. The result is 110.

Take it further

Nineteen tens make one hundred and nine tens: 190.

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More practice: try new cases

Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.

More practice: try new cases
1. A model contains 12 tens. How many ones does it represent?
Need a hint?
  • Label every tens group with its value of ten.
  • A count of tens must be multiplied by ten to name the whole value.
2. A model contains 13 tens. How many ones does it represent?
Need a hint?
  • Label every tens group with its value of ten.
  • A count of tens must be multiplied by ten to name the whole value.
3. A model contains 14 tens. How many ones does it represent?
Need a hint?
  • Label every tens group with its value of ten.
  • A count of tens must be multiplied by ten to name the whole value.

Your choices are temporary. Feedback appears after you check all the answers.

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Check the subject sources

These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.