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Numbers and place value

Grade 4 · Math

Explore numbers, spot patterns and explain how you worked it out.

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Learning about numbers and place value

In this Grade 4 math collection, you can practice Rounding to 10, 100 and 1,000, Rounding numbers to 1,000,000, Roman numerals to 1,000. Choose a game above for a short activity, or explore the examples below before you play. The full guide for each game explains its controls, gives more examples and includes a free printable for practice away from the screen.

Talk it through

Use counters, a drawing or a number line before moving to a mental method. Ask your child to explain a choice, then change one number and try the method again.

Ask: “How could you show the same answer another way?” Give your child time to explain. Return to an example after playing and ask whether they would approach it differently.

Rounding to 10, 100 and 1,000

Rounding is used for estimating and checking answers, and for describing numbers in everyday life ('about 300 people'). In this quiz race, numbers go up to 9,999. The wrong answers include rounding in the wrong direction and rounding to the wrong place, the two most common slips.

Try an example: Round 845 to the nearest 10.

The ones digit is 5, so round up to the next ten.

Show the answer

850

What to look out for

Using the wrong deciding digit. Underline the place you are rounding to and circle the digit immediately to its right.

Read the full Rounding to 10, 100 and 1,000 guide

Rounding numbers to 1,000,000

Rounding big numbers is useful for estimating, checking calculations and describing large amounts, such as populations or distances. In this quiz the numbers go up to 999,999, and the wrong choices include rounding the wrong way and rounding to the wrong place.

Try an example: Round 346,812 to the nearest 100,000.

Look at the ten thousands digit: 4. Round down.

Show the answer

300,000

What to look out for

Losing track of which digit is which in a long number. Write the number in a place value chart, or underline the rounding digit.

Read the full Rounding numbers to 1,000,000 guide

Roman numerals to 1,000

In this matching game, around two in five cards are years between 1066 and 2030, such as MCMXCIX (1999) or MMXXVI (2026). The rest are numbers from 1 to 1,000. Years are a good real-life test because they appear on buildings, foundation stones and at the end of film and TV credits.

Try an example: CDXLIV

CD = 400, XL = 40, IV = 4.

Show the answer

444

What to look out for

Reading CM as 1,100. C before M means subtract: 1,000 − 100 = 900. MC would be 1,100.

Read the full Roman numerals to 1,000 guide

Practice away from the screen

  • Round prices in the supermarket to the nearest pound to estimate the total bill.
  • Round the population of your town or the distance to another city to the nearest 1,000 or 10,000.
  • Look for dates in Roman numerals on old buildings, war memorials and church foundation stones.

Curriculum connections

Rounding to 10, 100 and 1,000

Supports part of Common Core 4.NBT.A.3. This focused game does not cover the entire standard.

Common Core connection: 4.NBT.A.3. This is focused practice for part of the standard.

Rounding numbers to 1,000,000

Supports part of Common Core 4.NBT.A.3. This focused game does not cover the entire standard.

Common Core connection: 4.NBT.A.3. This is focused practice for part of the standard.

Roman numerals to 1,000

Number-system enrichment, not a Common Core requirement. Extend Roman-numeral reading through 1,000.

Questions families ask

Where should we start with numbers and place value?

Start with Rounding to 10, 100 and 1,000. Look at the worked example together, then try a round. If the task feels unfamiliar, use the full game guide or its free printable before trying again.

Does this cover everything taught at this level?

No. These games provide focused practice. Grade suggestions do not replace your school’s curriculum, and any Common Core connection applies only to the skill described.