Unit 2 Review

1. Unit 2 Review Try the practice questions first and check your answers with those given. Then, answer the “real” questions, #1-8. Show your work on the organizer you received in class. Start!

2. Find the product. x Click for Answer

3. Multiply the numerator by the numerator, and denominator by denominator. × = Now, simplify: ÷ = The product is

4. Now try this on your own: 1. x = Show your work on the worksheet.

5. Find the quotient. 2 ÷ = Click for the answer using a diagram Click for the answer using the algorithm.

6. Convert the mixed number to an improper fraction. Then, multiply by the reciprocal of the second fraction. 2 ÷ • To convert to an improper fraction: • Remember, ask yourself “how many thirds are in 2 1/3? There are 7/3s. • If you are not sure, draw a picture of 2 1/3, then count the thirds. • Multiply the denominator by the whole number, then add the numerator • (3 x 2 + 1 = 7) = x = Move onto the next problem. Go back to the problem. Now, multiply and simplify the fractions. 2 x = ÷ = =

7. Solve using a picture. Show 2 1/3. Then divide into sixths. Next, number or circle groups of 5/6. 2 2 1 1 2 2 You only have 4 out of 5 sixths left. So you cannot make a third group. Your remainder is 4/5. 1 1 2 2 3 3 3 3 1 2 Your answer is the number of groups of 5/6 that you have numbered: 2

8. Now, try this on your own. Use pictures or numbers to solve. 2. 3 ÷ Show your work on the worksheet.

9. Find the product of the following decimals: 0.38 X 1.45 Click for the answer using the algorithm.

10. 1.45 100 40 5 x .38 30 8 40 (8 x 5) 320 (8 x 40) 800 (8 x 100) 150 (30 x 5) 1200 (30 x 40) + 3000 (30 x 100) .5510 Or 1.45 x .38 1160 + 435 .5510

11. Now try this on your own. Show your work on your worksheet. 3. Find the product: 0.25 x 2.37

12. Find the quotient: 4.67 ÷ .25 = Click for the answer using the algorithm.

13. Find the quotient: 4.67 ÷ .55 = .55 4.67 If the divisor is a decimal, make it a whole number by moving the decimal. Then move the decimal in the dividend the same number of places. Then divide. Remember to line up the decimal point in the quotient. So, if you move the decimal 2 places to the right in .55, it becomes 55. You must then move the decimal 2 places in 4.67, to make it 467 The new problem is 55 467 8. 27/55 = 8.49 55. 467. -220 4 247 4 -220 27 8 This is the whole number portion of your answer. This is your remainder 27/55. Now convert this fraction to a decimal. Use a calculator: 27÷ 55 = .49 Now combine the whole number with the decimal: Your answer is 8.49

14. Now try this on your own. Show your work on your worksheet. 4. 8.4 ÷ .32 =

15. Here are some word problems. Look for key words that tell which operation is needed to solve the problem. Then, find the solution and show your work on the worksheet. • Sarah needs 2 ¼ yards of material to make one dress for her daughter. How many dresses can she make from 10 ½ yards of material? • A half pound of raisins was in a jar in Luke’s cabin. He and his cabin mates ate 2/3 of them. How much of the raisins did they eat? • Mrs. Melton is making ribbons to give to the participants in the spelling bee. Her roll of ribbon contains 8.4 feet of ribbon. She wants to make ribbons that are .75 feet long. How many ribbons can she make? • Jason is helping his mother shop at the grocery store. He needs to buy granola that costs $2.49 per pound. How much will 3.1 pounds of granola cost? Next

16. Congratulations! You have finished the review! Remember to bring your completed worksheet to class tomorrow! Good luck on the assessment!