Decimals Module 2.

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Presentation transcript:

Decimals Module 2

1 minute - Stand quietly when done Challenge ⅗ ÷ 4/7 ÷ 9/10 = 1 minute - Stand quietly when done

35 3 + 256 12 10 100 When we see these kind of fractions, what do we think of? Would it be easier to add these mixed numbers if we changed them to decimals? What would this look like? To solve ‘LINE UP’ the decimals and place values. 35.3 + 256.12 35.3 256.12 291.42

0.5673 Decimal Place Values Ones - WHOLE number Ten Thousandths Hundredths Tenths 0.5673

Problem Set - Change to Decimals 4 2. 72 3. 123 4. 2183 10 100 1000 10000 5. 8 6. 7 7. 6 8. 12 10 100 1000 10000 9. 2 10. 23 11. 106 12. 475

Problem Set - Continued : SOLVE 13. 24 42 + 176 732 14. 7 3 + 789 402 15. 89 5 + 23 78 100 1000 10 1000 100 1000 16. 56 78 - 23 5 17. 743 5 - 32 45 18. 405 35 - 210 56 100 10 100 100 100 1000 19. 78 8 - 9 7 20. 45 - 17 203 21. 56 - 27 56 10 100 1000 100

What is the GCF of 35, 56, 63. What is the LCM of 2,3,7

What if the fractions look like this 46 1 + 231 2 2 5 46 1 + 231 2 2 5 Can I use equivalent fractions to easily transform to a decimal? WHY? 46 1 x 5 + 231 2 x 2 2 x 5 5 x 2 46 5 + 231 4 10 10 = 46.5 + 231.4 = 46.5 231.4 277.9

How about 73 5 + 23 15 20 50 56 3 - 23 7 4 20 89 12 + 145 125 125 500 245 15 - 78 8 25 50 67 4 + 23 7 5 25 563 9 - 267 25 10 250

6. Samantha and her friends are going on a road trip that is 245 7/50 miles long. They have already driven 128 53/100. How much farther do they have to drive? 7. Ben needs to replace two sides of his fence. One side is 367 4/5 meter long and the other is 329 ½ meters long. How much fence does Ben need to buy? 8. Mike wants to paint his new office with two different colors. If he needs 4 ⅘ gallons of red paint and 3 1/10 gallons of brown paint, how much paint does he need in total? 9. After Arianna completed some work, she figured she still had 78 21/50 pictures to paint. If she completed another 34 23/25 pictures, how many pictures does Arianna still have to paint? Problem Set 381 1 - 214 43 10 100 2. 32 ¾ - 12 ½ 3. 517 37 + 312 3 50 100 4. 632 16 + 32 3 25 10 5. 421 3 - 212 9 50 10

1 minute - Stand quietly when done Challenge 11 ½ - 7 ⅛ 1 minute - Stand quietly when done

Calculator Practice-Round answer to nearest hundredth 422 3 - 367 5 7 9 2. 23 1 + 45 7 5 8 3. 78 - 45 1 7 4. 79 3 + 278 5 5 6 5. Rahzel wants to determine how much gasoline he and his wife use in a month. He calculated that he used 78 ⅓ gallons of gas last month. Rahzel’s wife used 41 ⅜ gallons of gas last month. How much total gas did Rahzel and his wife use last month? Round your answer to the nearest hundredth.

Solve 7.82 + 3.209 2. 3.7 + 2.774 3. 12.829 + 10.07 4. 15 + 6.81 4. 15.131 - 11.57 5. 13.5 - 10.856 6. 58.67 - 28.724 7. 8 - 5.78 8. You work 1.15 hours on English homework and 1.75 hours on math homework. Your science homework takes 1.05 hours less than your math homework. How many hours do you work on homework? 9. You decide to buy a hat for $10.95 and a T-shirt for $14.20. How much change will you receive if you pay with a $50 bill?

Use <, >, or = to compare each pair of decimals 0.2 ؆ 2.0 0.4 ؆ 0.004 9.003 ؆ 9.030 23.88 ؆ 23.880 6.02 ؆ 6.20 0.204 ؆ 0.214 0.0624 ؆ 0.0264 3.3 ؆ 3.30

1 minute - Stand quietly when done Challenge 3 + 5 ÷ 2 4 6 3 1 minute - Stand quietly when done

1 minute - Stand quietly when done Challenge 6.105 + 10.4 + 3.075 25.92 - 18.478 + 8.164 1 minute - Stand quietly when done

Solve 3.48 x 2.8 Estimate - what would be your answer? Is your answer close to your estimate? If not, why?

Solve 12.8 x 0.08 Estimate - what would be your answer? Is your answer close to your estimate? If not, why?

Solve 1.238 x 1.8 Estimate - what would be your answer? Is your answer close to your estimate? If not, why?

Find the Perimeter and the Area - Use estimation to check answer. 1.68 km 8.4 km

1 minute - Stand quietly when done Challenge Find the GCF Of 24 and 40 Find the LCM Of 6 and 15 1 minute - Stand quietly when done

Find the Perimeter and the Area - Use estimation to check answer. 1.08 km 8.9 km

Problem Set $15.24 + $32.10 2. 4.8 x 8 3. 4.44 - 2.79 4. 0.08 x 0.3 5. 1.86 x 5.9 6. 2.1 x 1.5 7. 15 - 0.64 8. 6.2 x 0.03 9. 14.7 x 11.36 10. Xavier earns $11.50 per hour working at the nearby grocery store. Last week Xavier worked 8.5 hours. How much money did Xavier earn last week? 11. Kevin spends $11.25 on lunch every week during the school year. If there are 36 during the school year, how much does Kevin spend on lunch over the entire school year? 12. Gunner’s car gets 22.4 miles per gallon, and his gas tank can hold 17.82 gallons of gas. How many miles can Gunner travel if he uses all of the gas in the tank?