Place value: the value of each digit

Primary 4 Numbers to 100 000 · Lesson video · 2 min 48 s

Name each place and work out its value. A place with no units has the digit 0.

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Questions in this lesson

  1. 0:06 Today's question: In 83 506, what is the value of the digit 3?
  2. 1:19 Example 1: What number is 6 ten thousands 14 hundreds 3 ones?
Transcript

In eighty-three thousand, five hundred and six, what is the value of the digit 3? Try it first. Pause if you like. The digit is 3. Is its value also 3? Look at the place it is in. Start at the ones place. Then tens, hundreds, thousands and ten thousands. Eighty-three thousand, five hundred and six is eighty thousand plus three thousand plus five hundred plus 6. The tens digit is 0. There is no tens term, but its place is still there. The digit 3 is in the thousands place. It represents 3 thousands. Each of these counters represents one thousand. The value of the digit 3 is 3 times one thousand, which is three thousand. A digit’s value is the digit times the value of its place.

What number is 6 ten thousands 14 hundreds 3 ones? Try it first. Pause if you like. 6 ten thousands is 6 times ten thousand, which is sixty thousand. What happens when there are 14 hundreds? Can 14 be one digit? 14 hundreds is 14 times one hundred, which is one thousand, four hundred. Separate 10 of the hundreds from the other 4 hundreds. 10 times one hundred is one thousand. So 10 hundreds make 1 thousand. The same 14 hundreds are now 1 thousand and 4 hundreds. 3 ones is 3. Sixty thousand plus one thousand, four hundred plus 3 is sixty-one thousand, four hundred and three. There are no tens, so the tens digit is 0. Keep that place open. Name each place and work out its value. A place with no units has the digit 0.