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Summaries · Grade 6 Maths › Place value to nine digits
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Place value to nine digits

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 6 you work with numbers up to 999 999 999.

PlaceValue
units (U)1
tens (T)10
hundreds (H)100
thousands (Th)1 000
ten thousands (TTh)10 000
hundred thousands (HTh)100 000
millions (M)1 000 000
Tap when you could tell someone without looking.

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 big numbers in groups of three from the right: 2 506 381 = two million five hundred and six thousand three hundred and eighty-one.

Tap when you could tell someone without looking.

Numbers up to 9 digits

PlaceValue
ten millions (TM)10 000 000
hundred millions (HM)100 000 000

305 482 167 = 300 000 000 + 5 000 000 + 400 000 + 80 000 + 2 000 + 100 + 60 + 7.

Rule

The 4 in 305 482 167 is in the hundred thousands place: it is worth 400 000.

Tap when you could tell someone without looking.

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.

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