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Mathematics · Grades 1–3

Place value and regrouping

Explain what a digit represents, not just which digit is largest.

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Learn the idea

Position matters

In base ten, the value of a digit depends on its position. In 462, the 6 represents 60.

Regrouping

Ten ones can be exchanged for one ten without changing the total.

Zero

A zero can hold a place. In 507 there are no tens, but there are five hundreds.

Check

Read the full number, expand it, and compare the largest place where two numbers differ.

Worked examples

In 462, what value does the digit 6 represent?

It occupies the tens position: 6 tens are 60.

60

Which expansion equals 507?

There are five hundreds, no tens, and seven ones.

500 + 7

Check your understanding

  1. How many tens have the same value as 40 ones?

  2. What number has 3 hundreds, 12 tens and 5 ones?

  3. Which is greater, 609 or 690?

    1. They are equal.
    2. 690
    3. 609

Answers and marking notes

Answers and marking notes
  1. 4

    Exchange each group of ten ones for one ten.

  2. 425

    300 + 120 + 5 = 425; the 12 tens regroup into one hundred and two tens.

  3. 690

    Hundreds are equal; 9 tens is more than 0 tens.

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Independent educational review required. Grade bands are approximate; these are not officially aligned curricula.