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 908Nine 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 HundredsTensUnitsHundredsTensUnits 351 32709 756150 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 HundredsTensUnitsHundredsTensUnits 351 32709 756150 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. MillionThousand HundredsTensUnitsHundredsTensUnitsHundredsTensUnits 2412305 14030810 152621000 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 HundredsTensUnitsHundredsTensUnits 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 91 621 17 035 2 300 077 Your Turn 5. Ten million, seventy one thousand four hundred and two. 10 071 402

9. Comparing/Ordering Numbers Write the numbers in the correct order of size. Start with the smallest. 49 562235 2807 3201 253 762 49 562 235 280 7 320 1 253 762 The 4-digit number is smallest...

10. 235 280 Comparing/Ordering Numbers Write the numbers in the correct order of size. Start with the largest. 349 562235 280394 320 253 762 349 562 394 320 253 762 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. 99 562135 980 8 3207 253 762 2. 35 565 71 623 19 819 17 368 3.4 793 1624 703 7624 910 724 4. 1 703 762805 122851 724 8 32099 562135 9807 253 762 17 368 19 819 35 565 71 623 4 703 762 4 793 162 4 910 724 805 122851 724 1 703 762

12. Recall the place value table... Multiplying Integers by 10, 100 etc Thousand HundredsTensUnitsHundredsTensUnits 5 50 500 5000 50000 500000  10

13. Multiplying Integers by 10, 100 etc Thousand HundredsTensUnitsHundredsTensUnits 5 50 500 5000 50000 500000 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 HundredsTensUnitsHundredsTensUnits 200000 20000 2000 200 20 2  10

16. Dividing Integers by 10, 100 etc Thousand HundredsTensUnitsHundredsTensUnits 200000 20000 2000 200 20 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. 34 000  10 2. 3 554  100 3.793 162  10 4. 1 703 700  100 = 3 400 = 355 400 = 7 931 620 = 17 037

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

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