Unit 2: Decimals Test 6 NBT.7 (Divide Decimals): Homework/Study Guide October 29 – November 2, 2012 Example 1. You can use a decimal model to divide decimals. Find the quotient: 0.2 ÷ 5 = ⃝ Strategy: Use a model. Use a 10 by 10 grid. (1) Shade 0.2 of the model. (2) Use circles to separate the shaded area into 5 equal groups. (3) Count the number of squares in each group. There are 4 squares in each group. Four squares represents 4 hundredths, or 0.04. Solution: 0.2 ÷ 5 = 0.04 1 1 2 2 3 3 4 4 5 5 1 1 2 2 3 3 4 4 5 5 Example 2. Mrs. Collins bought 8 towels for $66.24. Each towel was the same price. What the price of one towel? Strategy: Write an equation for the problem. Then divide from left to right. Let p represent the price of one towel. $66.24 ÷ 8 = p Solution: The price of one towel is $8.28. Monday, October 29, 2012 (1-5): Parent Signature: ___________________________________________ _ 1. Find the quotient. Use the grid to help you divide. 0.4 ÷ 5=⃝ (A) 8 (B) 0.8 (C) 0.08 (D) 0.008 2. Find the quotient. (D) 0.293 175.8 ÷ 6 = ⃝ 3. Find the quotient. 0.65 ÷ 0.25 = ⃝ (D) 26 (A) 293 (B) 29.3 (C) 2.93 (A) 0.026 (B) 0.26 (C) 2.6 4. It took Neal 2.4 hours to run 19.8 miles last Sunday while training for a marathon. What was his average speed? (A) 7.5 miles per hour (B) 7.75 miles per hour (C) 8.25 miles per hour (D) 8.5 miles per hour 5. Breunnia bought 1.2 pounds of turkey breast at the deli counter. She paid $8.34 for the turkey. What was the price per pound of the turkey? (A) $6.24 (B) $6.31 (C) $6.90 (D) $6.95 Estimate the quotients. You can use multiples and compatible numbers to estimate decimal quotients. Estimate. 249.7 ÷ 31 = ⃝ Step 1: Round the divisor, 31 to the nearest 10. 31 rounded to the nearest ten is 30. Step 2: Find the multiples of 30 that the dividend, 249.7 is between. 249.7 is between 240 and 270. Step 3: Divide each multiple by the rounded divisor, 30. 240 ÷ 30 = 8 270 ÷ 30 = 9 So, two possible estimates are 8 and 9. Tuesday, October 30, 2012 (6-10): Parent Signature: ___________________________________________ 6. Use compatible numbers to estimate the quotient. 23.6 ÷ 7 = ⃝ ________ ÷ _________ = __________ 7. Use multiples to estimate the quotient. 338.7 ÷ 49 = ⃝ 8. Divide. 7.7 ÷ 1.4 = ⃝ (A) 4.5 (B) 5.5 9. Divide. Use decimal models. 0.15 ÷ 0.03 = ⃝ (C) 5.05 (D) 5.005 10. Divide. Find the quotient. 8.54 ÷ 4 = ⃝ (A) 2.135 (B) 2.035 (C) 1.135 (D) 2.200 Wednesday, October 31, 2012 (11-15): Parent Signature: _______________________________________ 11. Trinady spends $9.45 on 5 greeting cards. Each card costs the same amount. What is the cost of one greeting card? ________________ 12. Damon kayaks on a river near his home. He plans to kayak a total of 6.4 miles. Damon kayaks at an average speed of 1.6 miles per hour. How many hours will it take Damon to kayak the 6.4 miles? 13. Use compatible numbers to estimate the quotient. 469.4 ÷ 62 = ⃝ ________ ÷ _________ = _________ 14. Use multiples to estimate the quotient. 75.1 ÷ 9 = ⃝ 15. Divide. Use decimal models. 0.52 ÷ 0.26 = ⃝ Thursday, November 1, 2012 (16-20): Parent Signature: _______________________________________ Divide. You will have to add “imaginary zeros or place holders” in order to complete the answer. You will not have remainders. 16) 17) 97.3 ÷ 35 = ⃝ (A) 278 20.78 (B) 2.78 (C) 27.8 (D) 7.8 ÷ 15 = ⃝ (A) 0.052 0.52 (B) 50.2 (C) 5.2 (D) 18) 49 ÷ 14 = ⃝ (A) 3.5 30.5 19) 1.14 ÷ 0.76 = ⃝ (A) 10.5 15 7.59 ÷ 2.2 = ⃝ (A) 345 (B) 35 (C) 3.05 (D) (B) 1.05 (C) 1.5 (D) (B) 3.45 (C) 34.5 (D) 3.045
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