Download Division Level 7

Academy of Math
Division – Level 7 Guided Notes Part 1 – 1. In this activity, you will be working with the concept of ____________________. 2. Before you begin, you need to know that division is a mathematical way of finding the ____________________ of equal _______________ that can be made from one __________. Part 2 – 3. Take a look at this division sentence. The ____________________ is the number to be divided by another number. In this division problem, __________ is the dividend. Label the divided in the picture to the right. 4. The ____________________ is the number of equal groups to be made from the dividend. In this example, we want to make _____ equal groups, so the divisor is _____. Label the divisor in the picture to the right. 5. The ____________________ is the answer. _____ is the quotient in this division problem. Label the quotient in the picture above. 6. Sometimes the dividend cannot be perfectly divided into equal groups and there is a number __________ __________. This is called the ____________________. 25 can be divided into _____ equal groups of 6, with _____ remainder. 7. You can use _______________ to find the factors of a number. Remember that a ______________ is any one of the numbers that is used in ________________________ to name a _________________. Because multiplication and division are ______________ operations, any number that divides evenly into a given number is a _______________ of the given number. 8. Which of these numbers is a factor of 16? Use __________________ to find out. 8 goes into 16 _____ times with _____ remainder, so it is a factor of 16. 5 goes into 16 _____ times with _____ remainder, so it is __________ a factor of 16. Part 3 – 9. One way to help solve division problems is to first find the ____________________ quotient using _______________ numbers. Finding the estimated quotient will give you an idea of what the ____________________ quotient should be. To find the estimated quotient, round the ___________________ and the __________________ to a reasonable number based on the question. 1 10. In this example, let’s round the divisor to the nearest __________ and the dividend to the nearest ___________________. Then divide. a. 20 goes into 2000 __________ times. The estimated quotient equals __________. Now you have some idea what the calculated quotient should be. 11. Follow these steps to find the calculated quotient. The first step is to divide the ____________________ by the divisor. Look at the number in the hundreds column. a. How many equal groups of 21 can be made with 17? You __________ make any groups, because 21 is larger than 17, so you must _______________. b. Regroup the 17 hundreds and 9 tens as __________ tens. You will now work in the tens column. 12. The second step is to divide the __________. How many equal groups of 21 can be made with 179? Work the problems out to the right. a. Round the divisor and the dividend to give an idea of the answer. 180 divided by 20 equals _____. b. Check to see if 9 is correct. 179 is __________ than 180, so 9 is too many. Try 8. 8 times 21 equals __________. Now, subtract 168 from 179. 9 minus 8 equals _____. 7 minus 6 equals _____. 1 minus 1 equals _____. 13. The third step is to divide the __________. Continue working out the problem. a. Bring down the _____ from the ones columns. b. How many groups of 21 can be made from 114 ones? 5 groups of 20 equals __________. c. So, try 5. 5 times 21 equals __________. d. Now, subtract 105 from 114. Borrow from the tens to give you _____ ones. e. 14 minus 5 equals _____. 14. So, 1,794 divided by 21 equals _____, with a remainder of _____. 15. The estimated quotient of 100 is close to 85 with 9 remaining, so the calculation is most likely correct. c.
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2 16. Sometimes it is possible to divide quickly using a method called __________ _______________. When you use short division, you do the multiplication and subtraction steps in your __________. Follow this example. 17. Starting with the hundreds, you know that 5 times 4 equals _____. a. 21 minus 20 equals _____. b. Now you have _____ tens. c. You know that 5 times 3 equals _____. d. 16 minus 15 equals _____. e. Now you have _____ ones. f. You know that 5 times 2 equals _____. 18. So, 2160 divided by 5 equals __________. Part 4 – 19. In mathematics, we often talk about dividing numbers by powers of 10. Powers of 10 means ____ is used as the base number, and the ___________________ tells you how many times 10 is multiplied by itself or used as a factor. 20. Dividing by powers of 10 can be easy. All you need to do is look at the exponent and move the _____________ __________ to the left the same number of places. a. 26,000 â 101 = __________. The exponent 1 tells you to move the decimal _____ place to the left. b. 26,000 â 102= _________. The exponent 2 tells you to move the decimal _____ places to the left. c. 26,000 â 103 = _________. 21. It works the same way with multiples of ten. a. 26,000 â 1,000 = ________. The three zeroes in the divisor tell you to move the decimal _____ places to the left. b. How many decimal places to the left will the decimal move when 26,000 â 10,000? Count the zeroes in the dividend. There are 4 zeroes. So 26,000 â 10,000 = _____. 3 22. You may have heard about something called an _______________. It is an important concept in mathematics, and knowing how to solve _______________ problems will help you find the average. 23. What is the average cost of these music CD’s? Disk One costs $_____. Disk Two costs $_____. Disk Three costs $_____. Disks Four costs $_____. 24. To find the average, you must _____ all the prices together. Work the problem out to the right. a. 4 plus 6 plus 0 plus 0 equals _____. b. Put the _____ in the ones column and carry the _____. c. 1 plus 1 plus 1 plus 1 plus 2 equals _____. 25. Now divide the sum by the number of CD’s. Work the problem out to the right. a. 60 divided by 4. b. 6 makes one group of _____ with _____ remaining. c. Bring down the _____. d. 20 makes 5 groups of _____, with _____ remainder. 26. So, the average cost of the CD’s is $_____. 27. An average can also be called a __________. The __________ cost of the CD’s is $_____. 4 groups 1 4 24 inverse multiplication 0 1 10 85 168 ones head thousand 0 2.6 4 14 26 260 place division 1 6 left no factor divisor 1 9 14 100 179 ten less can’t 0 2.6 6 15 26 2,600 division mean WORD BANK Part One Words Part Two Words 2 6 quotient divisor quotient Part Three Words 1 9 15 100 432 hundreds divisor Part Four Words 1 2 10 15 26 2,600 no number 3 product dividend over not dividend 1 9 16 100 rounded short dividend regroup 1 3 10 16 26 add average exponent set 4 division factor remainder division 1 10 20 105 calculated division tens estimated 2 4 10 20 260 mean decimal 5