pls see. place value...

1. Building Number
Place Value

2. You are going to recap or learn:
How to read and write large numbers written in digits.
How to compare and order whole numbers.
What skills should you have already?
You need to be able to read, write and compare
numbers up to 999.
What’s It All About?

3. Read these numbers:
980
The position of each digit in the number makes a
difference to its value.
Nine hundred and eighty
908 Nine hundred and eight
98 Ninety eight
Recap on Place Value
As the place value changes
the number changes...

4. Recap on Place Value
Remember – the position of a digit changes its
value!
Digits are grouped in threes...
Read these numbers.
Thousand
Hundreds Tens Units Hundreds Tens Units
3 5 1
3 2 7 0 9
7 5 6 1 5 0
The decimal number system is
based on the number 10…

5. Recap on Place Value
Numbers don’t just “happen” - they have structure!
1 ten = 10 units
1 hundred = 10 tens
1 thousand = 10 hundreds and so on ...
Thousand
Hundreds Tens Units Hundreds Tens Units
3 5 1
3 2 7 0 9
7 5 6 1 5 0
10 of
these
makes
1 of
these
10 of
these
makes
1 of
these
10 of
these
makes
1 of
these
10 of
these
makes
1 of
these
10 of
these
makes
1 of
these

6. Recap on Place Value
If there are more digits, the table needs more
columns...
Read these numbers.
Million Thousand
Hundreds Tens Units Hundreds Tens Units Hundreds Tens Units
2 4 1 2 3 0 5
1 4 0 3 0 8 1 0
1 5 2 6 2 1 0 0 0
Digits on the left are worth
more than digits on the
right.

7. Write this number in digits.
Six hundred and two thousand five hundred and ninety.
Writing a number in digits is easy if you picture the place value
table:
Writing Large Numbers
Thousand
Hundreds Tens Units Hundreds Tens Units
6 0 2 5 9 0

8. 4. Two million, three hundred thousand and seventy seven.
3. Seventeen thousand and thirty five.
2. Ninety one thousand six hundred and twenty one.
1. Four hundred thousand one hundred and sixty six.
400 166
91621
17035
2300077
Your Turn
5. Ten million, seventy one thousand four hundred and two.
10071402

9. Comparing/Ordering Numbers
Write the numbers in the correct order of size.
Start with the smallest.
49562 235280 7320 1253762
49562
235280
7320
1253762 The 4-digit number is
smallest...

10. 235280
Comparing/Ordering Numbers
Write the numbers in the correct order of size.
Start with the largest.
349562 235280 394320 253762
349562
394320
253762
All the numbers have 6
digits, so compare from the
left ...

11. Your Turn
Write the numbers in the correct order of size.
Start with the smallest.
1. 99562 135980 8320 7253762
2. 35565 71623 19819 17368
3. 4793162 4703762 4910724
4. 1703762 805122 851724
8320 99562 135980 7253762
17368 19819 35565 71623
4703762 4793162 4910724
805122 851724 1703 762

12. Recall the place value table...
Multiplying Integers by 10, 100 etc
Thousand
Hundreds Tens Units Hundreds Tens Units
5
5 0
5 0 0
5 0 0 0
5 0 0 0 0
5 0 0 0 0 0
× 10
× 10
× 10
× 10
× 10

13. Multiplying Integers by 10, 100 etc
Thousand
Hundreds Tens Units Hundreds Tens Units
5
5 0
5 0 0
5 0 0 0
5 0 0 0 0
5 0 0 0 0 0
The zeros act as placeholders making sure the 5 is in the
correct place value each time...

14. To multiply by 10, one place-holding zero is needed.
How many place-holding zeros are needed to
multiply by 100?
How many place-holding zeros are needed to
multiply by 1000?
Is there a pattern?
Multiplying Integers by 10, 100 etc
Two
Three

15. Again recall the place value table...
Dividing Integers by 10, 100 etc
Thousand
Hundreds Tens Units Hundreds Tens Units
2 0 0 0 0 0
2 0 0 0 0
2 0 0 0
2 0 0
2 0
2
÷ 10
÷ 10
÷ 10
÷ 10
÷ 10

16. Dividing Integers by 10, 100 etc
Thousand
Hundreds Tens Units Hundreds Tens Units
2 0 0 0 0 0
2 0 0 0 0
2 0 0 0
2 0 0
2 0
2
The place-holding zeros are removed each time the number
is divided by 10 to move the 2 to the correct place value...

17. To divide a number that has place-holding zeros on
the right by 10, one place-holding zero is removed.
How many place-holding zeros must be removed to
divide by 100?
How many place-holding zeros must be removed to
divide by 1000?
Is there a pattern?
Dividing Integers by 10, 100 etc
Two
Three

18. Your Turn
Work out.
1. 34000 ÷ 10
2. 3554 × 100
3. 793162 × 10
4. 1703700 ÷ 100
= 3400
= 355400
= 7 931620
= 17037

19. To divide a number that has place-holding zeros on
the right by 10, one place-holding zero is removed.
What if the number does not have any place-holding
zeros to remove?
Dividing Integers by 10, 100 etc

20. End