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Comparing fractions and decimals
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Comparing fractions and decimals

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  • 1. ComparingFractions and Decimals Grade 5
  • 2. Lesson Objectives• 6.A.1.d Compare and order fractions with or without using symbols (>,<,=)• 6.A.1.c Identify and determine equivalent forms of proper fractions• 3.A.1.a Use technology tools, including software and hardware, from a range of teacher -selected options to learn new content or reinforce skills.
  • 3. Unitedstreaming Video Clip • There is a great video clip that can be used with this lesson. To use it: 1. Log into Unitedstreaming – www.unitedstreaming.com 2. Do a search for this Movie: – Discovery Math: Number Theory (3-5) Discovery Channel School 3. Then choose this clip: – Relations Among Numbers
  • 4. Fractions and DecimalsDiscovery Math: Number Theory (3-5) Discovery ChannelSchool. 2005 http://www.unitedstreaming.com/>
  • 5. Let’s Review• Comparing fractions• Converting fractions to decimals• Comparing decimals• Converting decimals to fractions
  • 6. Comparing Fractions• In order to compare fractions, the denominators for each fraction need to be the same.• Find the Least Common Multiple• Make equivalent fractions
  • 7. Comparing Fractions 3 2 7 4 , 5 , 204: 4, 8, 12, 16, 205: 5, 10, 15, 20, 2520: 20
  • 8. Comparing Fractions3 15 2 8 7 74 = 20 5 = 20 20 = 20 Now order these fractions from 7 least to2greatest. 3 20 4 5
  • 9. Comparing Fractions Order these fractions 6 1 4 10 2 5 1 6 4 2 10 5
  • 10. Comparing Decimals• When comparing decimals, you have to look at the whole numbers.• If the whole numbers are the same, then look at the decimal in the tenths place.• Keep looking at the digits until you can identify which is the greatest or least.
  • 11. Comparing DecimalsPractice Time! Order from least to greatest Problems Answers1.134, 1.341, 1.103 1.103, 1.134, 1.341 14.072, 14.172, 14.07 14.07, 14.072, 14.172 3.963, 3.63, 3.93 3.63, 3.93, 3.963
  • 12. Converting Fractions to Decimals Think about how you say the fraction. How many TENTHS are 6 = .6 there? The 6 goes in the 10 TENTHS place. How many HUNDREDTHS 8 = are there? The 8 goes in the 100 .08 HUNDREDTHS place.
  • 13. Converting Fractions to DecimalsIf the denominator is not a tenth orhundredth, you will need to make anequivalent fraction using a 10 or 100as the denominator. 4 8 = = .8 5 10
  • 14. Converting Fractions to Decimals Let’s try a few! 3 75 = = .75 4 100 20 4 = = .20 20 100 10 40 = = .40 25 100
  • 15. Converting Decimals to Fractions• Converting decimals to fractions is the opposite of converting fractions to decimals.• Once again, read the fraction.• What do you hear? Tenths or hundredths?
  • 16. Converting Decimals to Fractions Think about how you say the decimal. Read the decimal. The 6 is 6 .6 = 10 in the TENTHS place, so the denominator is 10. 8 What place is the 8 in? The .08 = 100 HUNDREDTHS place. The denominator is 100.
  • 17. Converting Decimals to fractions Let’s try a few! 6 60.60 = 10 or 16100 .16 = 100 40 4 .40 = or 10 100
  • 18. Comparing Fractions and Decimals In order to compare fractionsand decimals, you have to use allof the skills you have learned andreviewed in this session. You cannot compare fractions anddecimals. You have to convertthem all to either fractions or allto decimals.
  • 19. Comparing Fractions and DecimalsCompare and order these fractions and decimals. 4 4 .60 10 1 20 2 .75 .4