1. Skills Practice Carnegie Learning 4.7
More Division
Skills Practice Carnegie Learning 4.7
This presentation demonstrates the new capabilities of PowerPoint and it is best viewed in Slide Show. These slides are designed to give you great ideas for the presentations you’ll create in PowerPoint 2011!
For more sample templates, click the File menu, and then click New From Template. Under Templates, click Presentations.

2. Skills Practice Carnegie Learning 4.7
More Division
Skills Practice Carnegie Learning 4.7
This presentation demonstrates the new capabilities of PowerPoint and it is best viewed in Slide Show. These slides are designed to give you great ideas for the presentations you’ll create in PowerPoint 2011!
For more sample templates, click the File menu, and then click New From Template. Under Templates, click Presentations.
Make sure you take notes AND complete the problems in your book while I do them on the video.

3. Decimals
Decimals are like fractions in that they represent a portion of a whole number. They represent values in tenths, hundredths, thousandths, and so on.
Repeating Decimal- A repeating decimal is a decimal number that has a digit (or block of digits) that repeat over and over again without ever ending.
Terminating Decimal– Unlike a repeating decimal, is a decimal that, when you divide the numerator by the denominator of a fraction, you end up at some point with a decimal that ends (it has a finite number of digits.
Vocabulary

4. Decimals
Decimals are like fractions in that they represent a portion of a whole number. They represent values in tenths, hundredths, thousandths, and so on.
Benchmark Decimal - similar to a benchmark fraction in that it is a commonly used decimal that you use as a standard to measure other decimals. For example, 0.25, or 0.5, or 0 or 1.
Round (as in ”rounding a number”) – When you round a number, you re-write it to an easier to use form that is close to the original number, but isn’t exact. For example, 18 can be rounded to 20, or 257 can be rounded to /15 can b rounded to the benchmark fraction of 1/2
Vocabulary

5. Quotient
When you round a number, you re-write it to an easier to use form that is close to the original number, but isn’t exact. For example, 18 can be rounded to 20, or 257 can be rounded to /15 can b rounded to the benchmark fraction of 1/2
Divisor
Dividend 23
,604
Vocabulary

6. Quotient
The answer in a division problem..xact. For example, 18 can be rounded to 20, or 257 can be rounded to /15 can b rounded to the benchmark fraction of 1/2
Divisor
The thing doing the dividing in a division problem.it \to use form that is close to the original number, but isn’t exact. For example, 18 can be rounded to 20, or 257 can be rounded to /15 can b rounded to the benchmark fraction of 1/2
Dividend
The thing being divided up in a division problem. /2
Vocabulary
,604

7. Quotient
The answer in a division problem..xact. For example, 18 can be rounded to 20, or 257 can be rounded to /15 can b rounded to the benchmark fraction of 1/2
Divisor
The thing doing the dividing in a division problem.it \to use form that is close to the original number, but isn’t exact. For example, 18 can be rounded to 20, or 257 can be rounded to /15 can b rounded to the benchmark fraction of 1/2
Dividend
The thing being divided up in a division problem. /2 23
,604
Vocabulary

8. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
24.38 ÷ 4.6 = ?
Long Division

9. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
Start by changing the decimals to a fraction with 10, 100, 1000 (etc.) as a denominator.
24.38 ÷ 4.6 = ?
2438 ÷ 46 =
Long Division

10. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
Start by changing the decimals to a fraction with 10, 100, 1000 (etc) as a denominator.
Change our multiplication problem into a division problem (multiply the first number by the reciprocal of the 2nd number).
24.38 ÷ 4.6 = ?
2438 ÷ 46 =
2438 X 10 =
Long Division

11. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
Start by changing the decimals to a fraction with 10, 100, 1000 (etc) as a denominator.
Change our multiplication problem into a division problem (multiply the first number by the reciprocal of the 2nd number).
Multiply
24.38 ÷ 4.6 = ?
2438 ÷ 46 =
2438 X 10 =
24, =
4600
Long Division

12. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
Start by changing the decimals to a fraction with 10, 100, 1000 (etc) as a denominator.
Change our multiplication problem into a division problem (multiply the first number by the reciprocal of the 2nd number).
Multiply
Change to a mixed number
24.38 ÷ 4.6 = ?
2438 ÷ 46 =
2438 X 10 =
24, =
4600 =
Long Division

13. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
Start by changing the decimals to a fraction with 10, 100, 1000 (etc) as a denominator.
Change our multiplication problem into a division problem (multiply the first number by the reciprocal of the 2nd number).
Multiply
Change to a mixed number
Simplify. Stop when you have a denominator that is a power of 10 (even if it isn’t completely simplified.)
24.38 ÷ 4.6 = ?
2438 ÷ 46 =
2438 X 10 =
24, =
4600 = = 10
Long Division

14. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
Start by changing the decimals to a fraction with 10, 100, 1000 (etc) as a denominator.
Change our multiplication problem into a division problem (multiply the first number by the reciprocal of the 2nd number).
Multiply
Change to a mixed number
Simplify. Stop when you have a denominator that is a power of 10 (even if it isn’t completely simplified.
Change your number back into a decimal.
24.38 ÷ 4.6 = ?
2438 ÷ 46 =
2438 X 10 =
24, =
4600 = = 10 =
Long Division

15. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
Start by changing the decimals to a fraction with 10, 100, 1000 (etc) as a denominator.
Change our multiplication problem into a division problem (multiply the first number by the reciprocal of the 2nd number).
Multiply
Change to a mixed number
Simplify. Stop when you have a denominator that is a power of 10 (even if it isn’t completely simplified.
Change your number back into a decimal.
24.38 ÷ 4.6 = ?
2438 ÷ 46 =
2438 X 10 =
24, =
4600 = = 10 =
Long Division
Do #2-6 on pages 451 & 452.

16. Even though most of you liked to change fractions to decimals to work with them, some of you are changing decimals to fractions and then solving the problem. THIS LESSON IS FOR YOU!!
Start by changing the decimals to a fraction with 10, 100, 1000 (etc) as a denominator.
Change our multiplication problem into a division problem (multiply the first number by the reciprocal of the 2nd number).
Multiply
Change to a mixed number
Simplify. Stop when you have a denominator that is a power of 10 (even if it isn’t completely simplified.
Change your number back into a decimal.
24.38 ÷ 4.6 = ?
2438 ÷ 46 =
2438 X 10 =
24, =
4600 = = 10 =
Long Division
Do #2-6 on pages 451 & 452.
If your number doesn’t end up with a denominator that is a power of 10, then use your superpower of turning a fraction into a decimal.

17. Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
69.2 ÷ 2.5 = ?
Long Division

18. Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
69.2 ÷ 2.5 = ?
In this case, you would multiply it by 10 (or move the decimal point one place to the right so that it is after the 5.)
Long Division

19. Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
69.2 ÷ 2.5 = ?
In this case, you would multiply it by 10 (or move the decimal point one place to the right so that it is after the 5.
Long Division

20. Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
You need to multiply your dividend by that same number.
69.2 ÷ 2.5 = ?
Long Division

21. Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
You need to multiply your dividend by that same number.
69.2 ÷ 2.5 = ?
Long Division
In this case, you will also multiply the dividend by 10, so that you are keeping the dividend and divisor in the same proportion.

22. Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
You need to multiply your dividend by that same number.
69.2 ÷ 2.5 = ?
Long Division
In this case, you will also multiply the dividend by 10, so that you are keeping the dividend and divisor in the same proportion.

23. Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
You need to multiply your dividend by that same number.
Your new problem looks like this:
69.2 ÷ 2.5 = ?
Long Division

24. Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
You need to multiply your dividend by that same number.
Your new problem looks like this:
Then, simply divide as normal.
69.2 ÷ 2.5 = ?
Long Division

25. Let’s try another one!! Long Division
Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
You need to multiply your dividend by that same number.
Your new problem looks like this:
Then, simply divide as normal.
÷ 7.04 = ?
Long Division
Let’s try another one!!

26. Let’s try another one!! Long Division
Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
You need to multiply your dividend by that same number.
Your new problem looks like this:
Then, simply divide as normal.
÷ 7.04 = ?
Long Division
Let’s try another one!!

27. Long Division Do problems 7-12 on pages 452 and 453.
Dividing by a decimal number really isn’t very different from dividing by a number without a decimal. Some of you already know this technique, but it’s important to know WHY it works. (really, this will help you with algebra later).
Look at your divisor to decide what you would need to multiply it by to make it a whole number.
You need to multiply your dividend by that same number.
Your new problem looks like this:
Then, simply divide as normal.
÷ 7.04 = ?
Long Division
Do problems 7-12 on pages 452 and 453.

28. Long Division Where does that decimal point go???
You will need to do some estimating..
Somehow, you need to come up with a division problem that is less than 10.
÷ =
Long Division

29. Long Division Where does that decimal point go???
You will need to do some estimating..
Somehow, you need to come up with a division problem that is less than 10.
For example, 50/10 is 5
(sorta 10).
÷ =
Long Division

30. Long Division Where does that decimal point go???
You will need to do some estimating..
Somehow, you need to come up with a division problem that is less than but near 10.
÷ =
Long Division
Try another way: What about 500 / 68?
Would that work?

31. Long Division Where does that decimal point go???
You will need to do some estimating..
Somehow, you need to come up with a division problem that is less than but near 10.
For example, 50/10 is 5
(sorta 10).
÷ =
Long Division
Try another way: What about 500 / 68?
Would that work?
In that case, it would be ÷ 68 = 7.4

32. Long Division Where does that decimal point go???
You will need to do some estimating..
Somehow, you need to come up with a division problem that is less than but near 10.
For example, 500/100 is 5
(sorta 10).
÷ =
Long Division
Try another way: What about 500 / 68?
Would that work?
In that case, it would be ÷ 68 = 7.4
Can you think of one more way?

33. Long Division Where does that decimal point go???
You will need to do some estimating..
Somehow, you need to come up with a division problem that is less than but near 10.
For example, 500/100 is 5
(sorta 10).
÷ =
Long Division
Try another way: What about 500 / 68?
Would that work?
In that case, it would be ÷ 68 = 7.4
Can you think of one more way?
Do problems on page 453.

34. Have you ever put numbers in your calculator, gotten an answer, and thought, “oh wow—that can’t be right?”
ROUND your numbers to the nearest WHOLE number.
3.7 ÷ 0.7 = ?
Long Division

35. Have you ever put numbers in your calculator, gotten an answer, and thought, “oh wow—that can’t be right?”
ROUND your numbers to the nearest WHOLE number.
3.7 ÷ 0.7 = ?
4 ÷ 1 =
Long Division

36. Have you ever put numbers in your calculator, gotten an answer, and thought, “oh wow—that can’t be right?”
ROUND your numbers to the nearest WHOLE number.
Divide your rounded numbers.
3.7 ÷ 0.7 = ?
4 ÷ 1 = 4
Long Division

37. Have you ever put numbers in your calculator, gotten an answer, and thought, “oh wow—that can’t be right?”
ROUND your numbers to the nearest WHOLE number.
÷ 0.7 = ?
4 ÷ 1 = 4
÷ 25.3 = ?
50 ÷ 25 =
Long Division

38. Long Division Do #19-24 on page 453
Have you ever put numbers in your calculator, gotten an answer, and thought, “oh wow—that can’t be right?”
ROUND your numbers to the nearest WHOLE number.
Divide your rounded numbers.
÷ 0.7 = ?
4 ÷ 1 = 4
÷ 25.3 = ?
50 ÷ 25 = 2
Long Division
Do #19-24 on page 453

39. Long Division Do #19-24 on page 453 - 455 (19-24 is estimates only)
Have you ever put numbers in your calculator, gotten an answer, and thought, “oh wow—that can’t be right?”
ROUND your numbers to the nearest WHOLE number.
Divide your rounded numbers.
÷ 0.7 = ?
4 ÷ 1 = 4
÷ 25.3 = ?
50 ÷ 25 = 2
Long Division
Do #19-24 on page
(19-24 is estimates only)
For 25 thru 30, you ALSO need to do the actual division.
lifeofanarchitect.com