Mathematics Place Value - Integers

The aim of this powerpoint is to teach you about place values within whole numbers (i.e. integers) as well as how to read and write whole numbers. EITHER Take notes as you go along (and include some examples) OR At the end of the powerpoint, printout the notes called Calc1a

Place Value Column Labels We use a decimal or denary number system This means that every 10 in one column is worth 1 in the next column on its left. So 10 in the units column = 1 in the ‘tens’ column So 10 in the tens column = 1 in the ‘hundreds’ column So 10 in the hundreds column = 1 in the ‘thousands’ column and so on… … Million 1 000 000 Hundred Thousand 100 000 Ten Thousand 10 000 Thousand 1000 Hundred 100 Ten 10 Unit 1

Place Value Column Labels … Millions Thousands HTU … Million 1 000 000 Hundred Thousand 100 000 Ten Thousand 10 000 Thousand 1000 Hundred 100 Ten 10 Unit 1 The integer (ie. whole number) parts of any number lie to the left hand side of the decimal point. If the decimal point is not shown then you can write it in directly after the units (click to see it appear).

Writing numbers in words To write a number in words, imagine the figures lined up in their column values. For numbers less than 10,000 start on the left and write each digit in words followed by its column value. The exception comes if there are any tens as we have special names for these, so we don’t write five tens, we write fifty... E.g. 5602 in words would be… … TTh Th H T U 5 6 0 2 Five thousand, six hundred and two

Writing bigger numbers From right to left, imagine your digits in sets of three splitting the millions from the thousands from the HTU… But when writing remember to start on the left… Write 4,502,497 in words … Millions Thousands HTU … …HM TM M HTh TTh Th H T U 4 5 0 2 4 9 7 When you have worked our your answer click to check Four million, five hundred and two thousand, four hundred and ninety-seven

Practice Have a go at writing these numbers in words on paper. When you have ALL your answers, click to check them. 759 12418 (or 12,418) 205661 (or 205,661) 256810922 (or 256,810,922) … HM TM M HTh TTh Th H T U 2 5 6 8 1 0 9 2 2 Two hundred and fifty-six million, eight hundred and ten thousand, nine hundred and twenty-two 2 0 5 6 6 1 Two hundred and five thousand, six hundred and sixty-one 1 2 4 1 8 Twelve thousand, four hundred and eighteen 7 5 9 Seven hundred and fifty-nine

Writing numbers in figures For numbers smaller than 10,000… Imagine the column values and as you read the number put the digits in the correct column value. If a column value is not mentioned, write in a zero E.g. Two thousand and forty-three (rem. forty = 4 tens) … TTh Th H T U 2 4 3

Writing numbers in figures For larger numbers imagine your digits in sets of 3 (separating millions from thousands from HTU)… As you read the number put the digits in the correct group of column values. If a column value is not mentioned, write in a zero E.g. Sixteen million, three hundred and eight thousand and twelve E.g. Sixteen million, three hundred and eight thousand and twelve … HM TM M HTh TTh Th H T U 1 6 3 0 8 0 1 2

Practice Have a go at writing these numbers in figures on paper. When you have ALL your answers, click to check them. Eight hundred and twenty-three Forty-one thousand and fifteen Six hundred and fifty-two million and eight … HM TM M HTh TTh Th H T U 8 2 3 4 1 0 1 5 6 5 2 0 0 0 0 0 8

What next? If you haven’t made notes and copied examples, questions and answers during this powerpoint, print out the notes called Calc1a. Read through the first 3 pages and make sure you answer any questions. Work through the MyMaths lesson (and then the online homework) called HTU Place Value found at: http://www.mymaths.co.uk/tasks/library/loadLesson.asp?title=placevalue/placeValueHtu&taskID=1216 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=placevalue/placeValueHtuOH&taskID=1216 Optional: Work through the MyMaths lesson (on then the online homework) called Place Value Hundreds and Thousands found at: http://www.mymaths.co.uk/tasks/library/loadLesson.asp?title=placeValue/placeValueDiamond&taskID=1352 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=placeValue/placeValueDiamondOH&taskID=1352 Complete the worksheet called PVInt-S1.xlsx Now move on to the Calc1a-DecPV powerpoint