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2.3 Adding & Subtracting Rational Numbers, p74. 100. 11. 100. 3. 1. –. 1. –. Warm Up Simplify. √ 6 4 = < √ 81 = < √ 100 = 2. 2.8 × 100 = 3. Six laborers work 8 hours. How many man hours did they work? Write each decimal as a fraction in simplest form.
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2.3 Adding & Subtracting Rational Numbers, p74 100 11 100 3 1 – 1 – Warm Up Simplify. √64 = <√81 = <√100 =2. 2.8 × 100 = 3. Six laborers work 8 hours. How many man hours did they work? Write each decimal as a fraction in simplest form. 4. 1.15 = =5. –0.22 = = • NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, & terminating decimals) and take positive rational numbers to whole-number powers. • LO: I will evaluateaddition & subtraction of RATIONAL NUMBERS (FRACTIONS & TERMINATING DECIMALS) using strategies, skills and concepts. • Decimals-STACK PLACE VALUE, then ADD/SUBTRACT • to solve. • Fractions-SAME DENOMINATOR, Just ADD/SUBTRACT the NUMERATORS, then SIMPLIFY to solve.
Real Life: Applications 1. Ugo’s doctor measured him to be 0.84 meter tall at his most recent checkup, and was amazed that just a few months earlier, Ugo was only 0.6 meters in height. How much has Ugo grown in the past few months? 2. Claire swam the 100-meter butterfly in 33.42 seconds last year. This year she improved her time by 2.3 seconds. How fast did Claire swim the 100-meter fly this year? 3. First class postage in the United States costs $0.45 for 1 oz. Your letter weighs ¾ oz. Do you need extra postage to include a newspaper clipping that weighs 3/8 oz.? Explain your reasoning. 4. Last Friday Steve baked a pizza using 6 ¾ oz. of prosciutto. Today he’s going to make a pizza using 8 ¼ oz. of prosciutto. How much more meat is left in the 16 oz. package?
2 9 5 9 – – 5. 0.3 + (–1.2)= 6. 17.2 – 4.39= 7. 0.4 + 2.2= 8. 12.4 – 3.29= 3 x 6 x + – 9. 10. 11. 12.1 – x for x = –0.1 12. 52.3 – y for y = –7.8
1 10 7 8 7 10 5 8 + m for m = 3 + m for m = 5 3 4 5 4 + – 13. 14. 15. –1.2 + 8.4 16. 2.5 + (–2.8) 18. 62.1 + x for x = –127.0 17. 19. Summarize a tip for adding and subtracting same denominator fractions: 20. Summarize a tip for adding and subtracting decimals: 2.3 RM & 2.3 SRp77 #43-53 even