Calc1a-Write.docx INTEGER PLACE VALUE Please work through the powerpoint called: Calc1a-IntPV.ppsx Integer is just a special term meaning ‘whole number’. We use a denary or decimal system which means that every 10 in one column is worth 1 in the next column (on its left). MILLIONS THOUSANDS HTU Hundred Million Ten Million Million Hundred Thousand Ten Thousand Thousand Hundred Ten Unit 100 000 000 10 000 000 1 000 000 100 000 10 000 1 000 100 10 1 The integer parts of any number lie on the left hand side of the decimal point. If the decimal point is not shown, then you can write it directly after the units. E.g. 34 could be written as 34. or 34.0 or 34.00 or 34.000… WRITING WHOLE NUMBERS IN WORDS To write a whole number in words, imagine the figures lined up in their column values (as shown in the table above). Writing Numbers up to 10,000 For numbers worth less than 10,000 start on the left and write each digit in words followed by its individual column value. The exception comes if there are any tens as we have special names for these, e.g. we wouldn’t write five tens we would write fifty… The other exception is the last digit it NOT followed by the word ‘units’ E.g. 5602 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 into the overview columns of values – i.e. splitting the millions from the thousands from the HTU columns. (In capitals in our table.) – 1– Calc1a-Write.docx It is easier to put commas or spaces between each batch of three digits (remember to do this from RIGHT to LEFT!!!) to separate the HTU from the (HTU) thousands and (HTU) millions. From left to right, write the (up to) 3 digit value followed by the overview column value, then the next set of 3 digits followed by its overview column value and so on… Millions E.g. 14502497 14, 502, 497 1 4 Thousands H T U 5 4 0 2 9 7 Fourteen million, five hundred and two thousand, four hundred and ninety seven Task: Write the following numbers in words 1) 759 = ………………………………………………………………………………………………………………………… 2) 5074 = ……………………………………………………………………………………………………………………… 3) 12418 = …………………………………………………………………………………………………………………… 4) 205661 = ………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… 5) 256810922 = ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… WRITING WHOLE NUMBERS IN FIGURES Writing Figures up to 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 put a zero in its column. E.g. Two thousand and forty-three … Thousands 2 H 0 T 4 [REM: forty = 4 tens] U 3 = 2 043 – 2– Calc1a-Write.docx Writing Figures for Larger Numbers As you read the number put the digits in the correct ‘overview’ column of values and if an individual column isn’t mentioned put a zero in its column. E.g. Sixteen million, three hundred and eight thousand and twelve … MILLIONS THOUSANDS 1 6 3 0 8 H T U 0 1 2 = 16 308 012 Task: Write the following numbers in figures. (1) Fifty-nine = ……………………………………… (2) Eight hundred and twenty three = …………………………………… (3) Seven thousand, eight hundred and five = ……………………………… (4) Forty-one thousand and fifteen = …………………………………… (5) Eight million, twelve thousand, one hundred and nine = …………………………… (6) Six hundred and fifty-two million and eight = …………………………………………… Work through the MyMaths lesson (and its online homework) called: Number > Counting and Place value > HTU Place Value found at: http://app.mymaths.co.uk/41-resource/htu-place-value http://app.mymaths.co.uk/41-homework/htu-place-value Save and complete the worksheet called: PVInt-S1.xlsx DECIMAL PLACE VALUE Please work through the powerpoint called: Calc1a-DecPV.ppsx You have already met the integer place value columns. After the decimal point we get the ‘decimal’ column values which are worth less than 1. As before, moving right to left, 10 of 1 column is worth 1 of the next column. Although columns go on forever, we will focus on the tenths, hundredths and thousandths columns. HTU Tenth Hundred Ten Unit 100 10 1 1 /10 0.1 – 3– Hundredth 1 /100 0.01 Thousandth 1 /1000 0.001 Calc1a-Write.docx Reminder: A whole number can be written with a decimal point at the end and after that point, as many zeros as you like won’t change its value. E.g. 125 = 125. = 125.0 = 125.00 = 125.000 WRITING DECIMALS IN WORDS To write a decimal number in words, imagine the figures lined up in their column values (as shown in the table above). Write out the ‘whole number’ part of the number as you have previously been taught in the notes on the previous pages then write ‘point’ followed by each individual digit value (without its column value). H E.g. 27.304 T U . Tth Hth Thth 2 7 . 3 0 4 Twenty-seven point three zero four Task: Write the following numbers in words 1) 5.8 = ……………………………………………………………………………………………………………… 2) 29.15 = ………………………………………………………………………………………………………….. 3) 4008.067 = ……………………………………………………………………………………………………. ………………………………………………………………………………………………………………………………… 4) 162.005 = ………………………………………………………………………………………………………. WRITING DECIMALS IN FIGURES To write a decimal number in figures, imagine the figures lined up in their column values (as shown in the table above). Write out the ‘whole number’ part of the number as you have previously been taught in the notes on the previous pages then write ‘point’ followed by each individual digit value in the order it is quoted. E.g. Seven hundred and one point zero six three H T U . Tth Hth Thth 7 0 1 . 0 – 4– 6 3 Calc1a-Write.docx Sometimes when there are only one or two non-zero decimal digits after the point, the ‘decimal’ column value may be stated. Put the digit(s) stated in the correct decimal column(s) and then fill any gaps with zeros. E.g. Nine and three hundredths H T U . Tth Hth Thth 9 . 0 3 Task: Write the following numbers in figures. (1) Fifty-eight point six three = ……………………………………… (2) Four hundred and twelve and six tenths = …………………………………… (3) Eighty-seven and fourteen thousandths = ………………………………… (4) Nineteen point four eight six = ………………………………… (5) Sixty-five and twenty-three hundredths = …………………………… Please worked through the MyMaths lesson (and its online homework) called Decimal Place Value found at: http://app.mymaths.co.uk/53-resource/decimal-place-value http://app.mymaths.co.uk/53-homework/decimal-place-value Save and complete the worksheet called: PVDec-S1.xlsx For further OPTIONAL practice, you could work through the following MyMaths lessons: Introducing Decimals found at: http://app.mymaths.co.uk/50-resource/introducing-decimals Decimal Number Lines Intro found at: http://app.mymaths.co.uk/51-resource/decimal-number-lines-intro Decimal Number Lines found at: http://app.mymaths.co.uk/52-resource/decimal-number-lines – 5–