Digits A digit is a single number

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Presentation transcript:

Digits A digit is a single number There are 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 Every other number is made from combining these digits 1 digit numbers 1 2 3 4 5 6 7 8 9 © 2013 www.SaveTeachersSundays.com

Digits Can you think of some 2 digit numbers? 13 26 34 57 89 All the numbers from 10 to 100 467 312 897 692 158 All the numbers from 100 to 1,000 1,256 7,893 4,674 9,032 5,810 All the numbers from 1,000 to 10,000 © 2013 www.SaveTeachersSundays.com

Place Value Value means what something is worth The place of a digit decides its value What is the value of the blue digits in each number? 1 3 7 10 36 71 100 339 768 1,000 3,672 7,295 © 2013 www.SaveTeachersSundays.com

Partitioning 2-digit numbers 63 = 60 + 3 So when we partition 2-digit numbers we we split them up in to their tens and units © 2013 www.SaveTeachersSundays.com

Partitioning 2-digit numbers 45 = 40 + 5 So when we partition 2-digit numbers we we split them up in to their tens and units © 2013 www.SaveTeachersSundays.com

Partitioning 3-digit numbers 324 = 300 + 20 + 4 So when we partition 3-digit numbers we we split them up in to their hundreds, tens and units © 2013 www.SaveTeachersSundays.com

Partitioning 3-digit numbers 271 = 200 + 70 + 1 So when we partition 3-digit numbers we we split them up in to their hundreds, tens and units © 2013 www.SaveTeachersSundays.com

Partitioning 4-digit numbers We partition 4-digit numbers in to their thousands, hundreds, ten and units 4,975 = 4,000 + 900 + 70 + 5 1,256 = 1,000 + 200 + 50 + 6 8,173 = 8,000 + 100 + 70 + 3 © 2013 www.SaveTeachersSundays.com

Tenths Units tenths Units can be split in to tenths 10 tenths make 1 unit Units tenths © 2013 www.SaveTeachersSundays.com

Hundredths Units hundredths Units can also be split in to hundredths 100 hundredths make 1 unit Units hundredths © 2013 www.SaveTeachersSundays.com

Numbers with decimal places Numbers with decimal follows the same rules The further to the left a number is, the more it is worth U . t h th © 2013 www.SaveTeachersSundays.com

Place Value Value means what something is worth The place of a digit decides its value What is the value of the blue digits in each number? 1 3 7 0.1 0.3 0.7 0.01 0.03 0.07 0.001 0.003 0.007 © 2013 www.SaveTeachersSundays.com

Zeros after the last digit In numbers with decimal places, zeros after the last number do not change the value of the number The numbers in the same colours below have the same value as each other, despite the extra zeros on the end 8 8.0 2 2.00 5.1 5.10 7.35 7.350000 © 2013 www.SaveTeachersSundays.com

Partitioning numbers with decimal places 2.3 = 2 + 0.3 So when we partition numbers with decimal places we we split them up in to their units, tenths, hundredths and thousandths © 2013 www.SaveTeachersSundays.com

Partitioning numbers with decimal places 0.752 = 0.7 + 0.5 + 0.02 So when we partition numbers with decimal places we split them up in to their units, tenths, hundredths and thousandths © 2013 www.SaveTeachersSundays.com

Partitioning numbers with decimal places When we partition numbers with decimal places we split them up in to their units, tenths, hundredths and thousandths 4.975 = 4 + 0.9 + 0.07 + 0.005 1.256 = 1 + 0.2 + 0.05 + 0.006 8.173 = 8 + 0.1 + 0.07 + 0.003 © 2013 www.SaveTeachersSundays.com