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Building Number Place Value

Building Number Place Value. What’s It All About?. 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.

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Building Number Place Value

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  1. Building NumberPlace Value

  2. What’s It All About? 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.

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

  4. Recap on Place Value The decimal number system is based on the number 10… Remember – the position of a digit changes its value! Digits are grouped in threes... Read these numbers.

  5. Recap on Place Value 1 of these 1 of these 1 of these 1 of these 10 of these makes 1 of these 10 of these makes 10 of these makes 10 of these makes 10 of these makes Numbers don’t just “happen” - they have structure! 1 ten = 10 units 1 hundred = 10 tens 1 thousand = 10 hundreds and so on ...

  6. Recap on Place Value Digits on the left are worth more than digits on the right. If there are more digits, the table needs more columns... Read these numbers.

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

  8. Your Turn 1. Four hundred thousand one hundred and sixty six. 400166 2. Ninety one thousand six hundred and twenty one. 91621 3. Seventeen thousand and thirty five. 17035 4. Two million, three hundred thousand and seventy seven. 2300077 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 7320 49562 235280 1253762 The 4-digit number is smallest...

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

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

  12. Multiplying Integers by 10, 100 etc Recall the place value table...  10  10  10  10  10

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

  14. Multiplying Integers by 10, 100 etc 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? Two Three

  15. Dividing Integers by 10, 100 etc Again recall the place value table...  10  10  10  10  10

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

  17. Dividing Integers by 10, 100 etc 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? Two Three

  18. Your Turn Work out. • 34000  10 • 3554  100 • 793162  10 • 1703700  100 = 3400 = 355400 = 7931620 = 17037

  19. Dividing Integers by 10, 100 etc 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?

  20. End

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