1. Copyright © Ed2Net Learning, Inc.1 Dividing Decimals

2. Copyright © Ed2Net Learning, Inc.2 WARM – UP 1.25.60 X 1.007 = 2.The number 0.8 times 0.8 equals 3.9.59 x 0.001 = 4.Place a decimal point in the product 8.5 x 17.2 =

3. Copyright © Ed2Net Learning, Inc.3 Lets review what we did in the last lesson To multiply we first ignore the decimals and multiply as usual as you do with whole numbers Now add the products To place the decimal points point in the answer we start from the right and move the number of places equal to the sum of the decimal places in both the numbers multiplied

4. Copyright © Ed2Net Learning, Inc.4 Lets find the product of 0.2 x 6.5 Multiply as usual ignoring the decimal points 2 x 65 = 130 Now in the product start from the right and move left 2 places,then place the decimal We get 0.2 x 6.5 = 1.30 Lets try an Example

5. Copyright © Ed2Net Learning, Inc.5 Lets get started Steps for dividing by whole numbers 1) If the division problem is written across, copy the problem so that the first number is inside the division sign. If the problem is 35.2 ÷ 5 then write it as 5) 35.2 2) Place decimal point in the quotient directly above the decimal point in the dividend. 3) Now use the long division method as if there were no decimal points involved.

6. Copyright © Ed2Net Learning, Inc.6 Steps for division by whole number ) 35.2 5 35 0 2 0 2 0 0 7. 04 0 If the number to the left is smaller than the number outside add a zero in the quotient and in the end of the inside number

7. Copyright © Ed2Net Learning, Inc.7 Steps for dividing by decimal numbers Write the first number inside the division sign Change the divisor to a whole number by moving the decimal point to the right Move the decimal point of the inside number ( dividend) the same number of places to the right as you did of the divisor. Put the decimal point for your answer directly above the one in your inside number. Divide the same way as you do with whole numbers

8. Copyright © Ed2Net Learning, Inc.8 3.33 ) 2 2.1 7 7 8 Lets take an Example Move the decimal point of the inside number (dividend) the same number of places to the right as you did of the divisor. So we get… Change the divisor to a whole number by moving the decimal point to the right 333 ) 2 2 1 7. 7 8

9. Copyright © Ed2Net Learning, Inc.9 333 ) 2 2 1 7. 7 8 Place a decimal point on top of the decimal point of the inside number and divide normally. 6 1 9 9 8 2 1 9 7 6 6 1 9 9 8 0 = Answer

10. Copyright © Ed2Net Learning, Inc.10 Re write the following questions after placing the decimals in correct places 15.5 ÷ 0.005 347.887 ÷ 0.67 34.23 ÷ 0.005

11. Copyright © Ed2Net Learning, Inc.11 Lets take another Example 0.452 ÷ 0.5.5 ).452 45 2 0 0 0 0.904 If there is a remainder then add zero to the inside number. Bring them down and divide until there is no reminder or until there are 4 decimal places in your answer

12. Copyright © Ed2Net Learning, Inc.12 You can also check your answer by multiplying the quotient with the divisor. If it is same as the dividend then your answer is correct 0.5 x 0.904 = 0.452. 0.452 ÷ 0.5 = 0.904

13. Copyright © Ed2Net Learning, Inc.13 Lets try another Example with negative numbers -31.48 ÷ -4 -4 ) -3 1.48 - 28 3 4 3 2 2 8 0 7. 87 When we divide two numbers With the same sign we get + and with different signs we get -

14. Copyright © Ed2Net Learning, Inc.14 Now you try some! 1)89.45 ÷ 0.908 = 2) 0.5194 ÷ 0.49 = 3)0.0528 ÷ 0.06 =

15. Copyright © Ed2Net Learning, Inc.15 BREAK TIME

16. Copyright © Ed2Net Learning, Inc.16 Click on the photo to play the game

17. Copyright © Ed2Net Learning, Inc.17 One rectangle has an area of 2.04 sq. meters, and a second has an area of 1.86 sq. meters. If the length of both rectangles is 0.6 meter. Which rectangle is wider ? Explain

18. Copyright © Ed2Net Learning, Inc.18 Susie earns $10,000 in a year. She bought a bike worth $3000 and paid only $1000 upfront. The remaining money she has to pay as EMI. If she can only spare 10% of her monthly salary as EMI. Calculate in how many months will she pay off her loan?

19. Copyright © Ed2Net Learning, Inc.19 A Ping – Pong table has an area of 4.165 sq. meters, while a tennis court has an area of 260.76 sq. meters. To the nearest hundredth, how many times larger is the tennis court than the Ping –Pong table ?

20. Copyright © Ed2Net Learning, Inc.20 Assessment 1.Find each quotient: a)9.12 ÷ 6 b)385.6 ÷ 8 c)1.728 ÷ 12 2.Find each quotient: a)0.248 ÷ 0.04 b)8.64 ÷ 0.08 c)38.125 ÷ 1.25

21. Copyright © Ed2Net Learning, Inc.21 Assessment 3.There are 45 students waiting in line to take a tram car to the top of a mountain. Each car can take only 6 people at a time. How many cars will be needed to carry all the students? 4.A chemist is mixing different solutions. If 90 milliliters of a solution need to be divided equally into 8 test tubes, how much should go into each test tube? Does the answer need to be exact or could the chemist use an estimate? Explain your answer.

22. Copyright © Ed2Net Learning, Inc.22 Assessment 5.Find the gas mileage: A family car travels 367.9 miles on 12.5 gallons of gas. Round to the nearest tenth.

23. Copyright © Ed2Net Learning, Inc.23 Review To divide two decimal numbers, change the divisor to a whole number by moving the decimal point to the right Then move the decimal point in the dividend the same number of places to the right Then divide as with whole numbers In the answer put the decimal point just above the decimal point in the dividend. If there is a remainder, add zero to the dividend and divide until there is no remainder or until there are four decimal places in the quotient

24. Copyright © Ed2Net Learning, Inc.24 Review 96) 1996.8 192 76 8 0 20.8 Find 199.68 ÷ 9.6

25. Copyright © Ed2Net Learning, Inc.25 You had a Great Lesson Today Be sure to practice what you have learned today