Get Ready for the Lesson

Transcription

1 Lesson 4 5 Frctions nd Decimls Get Redy for the Lesson 1) How do you write frction s deciml? 2) Wht is 4/10 s deciml? Title Pge Get Redy Dy 2 Get Redy Answer: 1) A few wys divide, or chnge the denomintor! 2) 0.4 Quick Review Write ech frction in simplest form. 1) 10/24 2) 9/81 ) 28/98 4) 51/68 Get Redy Answer Quick Review Our deciml system is sed on powers of 10. So, if the denomintor of frction is power of 10, you cn use plce vlue to write the frction s deciml. For exmple, to write 7/10 s deciml, plce 7 in the tenths plce. Notes nd Exmples! Exmple 1: Use Mentl Mth Write ech frction or mixed numer s deciml If the denomintor of frction is fctor of 10, 100, 1,000 or ny higher power of 10, you cn use mentl mth nd plce vlue. 5 4 Notes nd Exmples 1

2 ) /10 Any frction cn e written s deciml y dividing its numertor y its denomintor. Division ends when the reminder is zero! ) /25 c) 6 1/2 C Notes nd Exmples! Exmple 2: Use Division Write ech frction or mixed numer s deciml. 8 ) 7/8 ) 2 1/ c) 7 9/20 C Notes nd Exmples Notes nd Exmples! Terminting Deciml: deciml whose digits end. Exmples: 0.5, 0.75, Repeting Deciml: hve pttern in their digits tht repets forever. Exmples: 0..., , Br Nottion: indictes tht numer pttern repets indefinitely. A r is written only over the digits tht repet. Exmples: 0., 0.24, Exmple : Write Frctions s Repeting Decimls Write ech frction or mixed numer s deciml Notes nd Exmples 2

3 ) /11 Check your Understnding Use r nottion if the deciml is repeting deciml. 1) 2/5 2) 9/10 ) 7 1/2 4) 4 /20 5) 1/8 6) 5/8 ) 8 1/ 7) 5/9 8) 1 5/6 Check Your Understnding Get Redy for the Lesson Complete Lesson 4-5 "Prctice" worksheet. 1) How do you write deciml s frction? 2) Wht is 0.6 s frction? Homework Get Redy Dy 1 Get Redy Answer: 1) PLACE VALUE for terminting decimls Red it, Write it, Simplify it! 2) 6/10 = /5 Terminting Deciml: deciml whose digits end. Exmples: 0.5, 0.75, Repeting Deciml: hve pttern in their digits tht repets forever. Exmples: 0..., , Br Nottion: indictes tht numer pttern repets indefinitely. A r is written only over the digits tht repet. Exmples: 0., 0.24, Get Redy Answer

4 Every terminting deciml cn e written s frction with denomintor of 10, 100, 1,000, or higher power of ten. Plce the digits tht come fter the deciml point in the numertor. Use the plce vlue of the finl digit s the denomintor. Notes nd Exmples! Exmple 4: Use Power of 10 Use the tle to find wht frction of the fish in n qurium re goldfish. Write in simplest form. Notes nd Exmples Write ech deciml s frction or mixed numer. ) 0.2 Word Prolem Prctice ) 0.55 c) 0.4 d) 5.96 e) 2.66 c d e Nick prctice plying the cello for 2 hours nd 18 minutes. Write the time Nick spent prcticing s deciml. Word Prolem Prctice Check your Understnding Write ech deciml s frction or mixed numer in simplest form. 1) ) 0.1 ) 4.6 4) 5.44 test prctice Which deciml represents the shded region of the model? 5) 0.2 6) ) 0.4 8) ) ) Suppose you uy 1.25 pound pckge of hm for $4.99. Wht frction of pound did you uy? A) C) B) 0.6 D) Check Your Understnding Test Prctice 4

5 CHALLENGE of the DAY Frctions with denomintors of 2, 4, 8, 16, nd 2 produce TERMINATING decimls. Frctions with denomintors of 6, 12, 18, nd 24 produce REPEATING decimls. Wht cuses the difference? Explin. Complete "Decimls to Frctions" wks. Answer Chllenge Homework 5