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Place value and expanded notation

What each digit in a number is worth, and numbers in expanded notation. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Every digit has a place

Th44 000H3300T550U224 000 + 300 + 50 + 2 = 4 352
The 3 in 4 352 is 3 hundreds = 300

The place of a digit gives its value. In Grade 4 you work with numbers up to 10 000.

PlaceValue
units (U)1
tens (T)10
hundreds (H)100
thousands (Th)1 000
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Expanded notation

Write a number as the sum of the values of its digits: 4 352 = 4 000 + 300 + 50 + 2.

Rule

A zero holds a place open: 4 052 = 4 000 + 50 + 2 (no hundreds).

Meerkat tip

Read numbers in groups of three from the right: 7 405 = seven thousand four hundred and five.

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Count forwards and backwards

Count in 2s, 3s, 5s, 10s, 25s, 50s and 100s, forwards and backwards, between 0 and 10 000.

  • In 25s: 1 125; 1 150; 1 175; 1 200.
  • In 50s backwards: 3 400; 3 350; 3 300; 3 250.
  • Even numbers end in 0, 2, 4, 6 or 8; odd numbers in 1, 3, 5, 7 or 9: 348 is even, 517 is odd.
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Remember this and test yourself

Remember this: your summary
  • The place of a digit gives its value.
  • U, T, H, Th: units, tens, hundreds, thousands.
  • Expanded notation: 4 352 = 4 000 + 300 + 50 + 2.
  • A zero holds a place open.

Write these points in your book. Read them again the night before the test.

Memory trick

Every step to the left is worth ten times more.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

Test yourself · Part 2

True or false?

Read the question and the answer. Is the answer right? Tap True or False.

    Now the real quiz!

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