Interpreting Remainders I can interpret remainders in a division word problem.
CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders...
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Transcript of CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders...
![Page 1: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/1.jpg)
CONFIDENTIAL 1
Good Afternoon!Today we will be learning about Dividing with decimal remainders
Let’s warm up :
Divide:
1) 42 ÷ 4
2) 25.93 ÷ 8
3) 23 ÷ 40
4) 77.76 ÷ 15
5) 84.21 ÷ 13
1) 10.5
2) 3.24
3) 0.575
4) 5.184
5) 6.48
![Page 2: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/2.jpg)
CONFIDENTIAL 2
Let’s first review what we learnt about division in the previous session before proceeding further.
There are four terms which describe the four numbers in a division problem.
Dividend.
Divisor.Quotient. Remainder.
Dividend Dividend == DivisorDivisor XX QuotientQuotient + + RemainderRemainder
. 8 quotient 5)43 40 dividenddivisor 3
remainder
![Page 3: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/3.jpg)
CONFIDENTIAL 3
This can be represented on the number line as follows:
Multiplication is repeated subtraction.So, 4.5 ÷ 3 = 1.5
10 2 3 4
1.5 1.5
5
1.5
You can count backward in groups of 1.5.
There are 3 jumps of value 1.5 from 4.5 to 0.
Find 4.5 ÷ 3 .
4.5
![Page 4: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/4.jpg)
CONFIDENTIAL 4
Expressing the quotient as a decimal
Divide 17 by 5.
5 17
3
-152
There are no more digits in the dividend.
Place a decimal point and bring it up to the quotient. 5 17.0
3.4
-1520
Add a 0 onto the remainder.
Continue dividing. Add a 0 onto each remainder until the division is exact. If the division is not exact, round off the quotient to the required number of decimal places.
-2000
Review
![Page 5: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/5.jpg)
CONFIDENTIAL 5
Review
The dividend less than the divisor
Divide 7 by 8.
The dividend 7 is less than the divisor 8.
8 7.0
0.875
-6460
Place a decimal point and bring it up to the quotient.
Add a 0 onto the dividend.
Start dividing. Add a 0 onto each remainder until the division is exact. If the division is not exact, round off the quotient to the required number of decimal places.
- 5640
- 4000
![Page 6: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/6.jpg)
CONFIDENTIAL 6
Review
When the dividend is a decimal, and the divisor a whole number
Divide: 7.64 ÷ 2
Place the divisor (2) before the division bracket and place the
dividend (7.64) under it.
Division with decimals is easier to understand if the divisor (the dividend is divided by the divisor) is a whole
number.
STEP 1:
2 7.64
![Page 7: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/7.jpg)
CONFIDENTIAL 7
Review
To divide a decimal by a whole number, divide as you would for whole
numbers.
2 7.64
3.82
-6 16
Place a decimal point in the answer so that it lines up with the
decimal point in the Dividend.
-16004
-4
0
If after dividing you have a remainder, add a zero to the
dividend and continue to divide until there is no remainder or the
decimals recur.
STEP 2:
![Page 8: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/8.jpg)
CONFIDENTIAL 8
Review
Divide: 8.66 ÷ 4
We can find the solution as follows:
4 8.66
2.165
-8 06-426
-2420
-2000
Note:
We added a trailing zero to 8.66 when 4 would not divide into 2.
Adding a trailing zero (or zeros) to a decimal number does not alter its
value.
![Page 9: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/9.jpg)
CONFIDENTIAL 9
Let’s start
When we are given a long division to do, sometimes there will be numbers left over.
These are known as Remainders.
We can use the long division process to work out the answer to a number of decimal places.
Division with decimals is easier to understand if the divisor (the dividend is divided by the divisor) is a whole
number.
If the divisor has a decimal in it, we can make it a whole number by moving the decimal point the
appropriate number of places to the right.
![Page 10: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/10.jpg)
CONFIDENTIAL 10
Divide: 5 ÷ 12.Round to the nearest hundredths place.
Note: Since we must round to the hundredths place, we will carry the answer out 1 place beyond the
hundredths place.)
12 5 Place the numbers in the division equation format.
The dividend 5 is less than the divisor 12. Place a decimal point and bring it up to the
quotient.
12 5.00
0.4
- 4820
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CONFIDENTIAL 11
12 5.000
0.416
- 4820
- 1280
Add a 0 onto the dividend. Start dividing. The remainder is not zero,
so add another zero to the dividend.
- 728
The remainder is still not zero. The remainder continues to be 8.
This is a repeating decimal. We need our answer rounded to the nearest hundredths place, so we are
ready to round.
0.416 rounded to the nearest hundredths place is 0.42
![Page 12: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/12.jpg)
CONFIDENTIAL 12
4 233.4 Place the numbers in the division equation format.
Begin the division with 4 into 23 (since 4 cannot go into 2). This gives us 5 with a
remainder of 3.
4 233.4
5
- 203
Divide: 233.4 ÷ 4
We will see another problem:
![Page 13: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/13.jpg)
CONFIDENTIAL 13
Now bring down the next 3, so we must divide 33 by 4. This gives us 8
with a remainder of 1. 4 233.4
58
- 2033
- 3214
Now bring down 4, so we must divide 14 by 4. Here, 4 occurs in the
dividend after the decimal , so we put a decimal in the quotient after 8. This
gives us 3 with a remainder of 2.
4 233.4
58.3
- 2033
- 3214
- 122
![Page 14: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/14.jpg)
CONFIDENTIAL 14
If after dividing you have a remainder, add a zero to the dividend and continue to
divide until there is no remainder or the decimals recur. Now bring down the next 0, so we must divide 20 by 4. This gives us 5
with a remainder of 0.
4 233.40
58.35
- 2033
- 3314
- 1220
- 2000
![Page 15: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/15.jpg)
CONFIDENTIAL 15
BREAK
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CONFIDENTIAL 16
GAME
Click on the link below for some exciting puzzle
http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/03-27-07-bunnybee.html
![Page 17: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/17.jpg)
CONFIDENTIAL 17
Assignments
1) 23 ÷ 16
2) 13 ÷ 15
Divide. Round to the nearest hundredths place:
3) 67 ÷ 9
4) 7 ÷ 8
1) 1.44 3) 7.44
2) 0.87 4) 0.88
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CONFIDENTIAL 18
6) 246.8 ÷ 9
7) 685.53 ÷ 11
5) 355.67 ÷ 13
Divide. Round to the nearest thousandths place:
8) 513.56 ÷ 45
5) 27.359 7) 62.321
6) 27.422 8) 11.412
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CONFIDENTIAL 19
9) Tina bought 6 ice creams for $15.9. Find the cost of one ice-cream.
9) $2.65
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CONFIDENTIAL 20
10) Four tanks can store 550 liters of water. If the capacity of the tanks is equal, then what is the capacity of
one tank?10) 137.5 liters
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CONFIDENTIAL 21
Very Good!Let's Review
When we are given a long division to do, sometimes there will be numbers left over.
These are known as Remainders.
We can use the long division process to work out the answer to a number of decimal places.
Division with decimals is easier to understand if the divisor (the dividend is divided by the divisor) is a whole
number.
If the divisor has a decimal in it, we can make it a whole number by moving the decimal point the
appropriate number of places to the right.
![Page 22: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/22.jpg)
CONFIDENTIAL 22
Review
4 233.4 Place the numbers in the division equation format.
Begin the division with 4 into 23 (since 4 cannot go into 2). This gives us 5 with a
remainder of 3. 4 233.4
5
- 203
Divide: 233.4 ÷ 4
We saw the following problem:
![Page 23: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/23.jpg)
CONFIDENTIAL 23
Review
Now bring down the next 3, so we must divide 33 by 4. This gives us 8
with a remainder of 1. 4 233.4
58
- 2033
- 3214
Now bring down 4, so we must divide 14 by 4. Here, 4 occurs in the
dividend after the decimal , so we put a decimal in the quotient after 8. This
gives us 3 with a remainder of 2.
4 233.4
58.3
- 2033
- 3214
- 122
![Page 24: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/24.jpg)
CONFIDENTIAL 24
Review
If after dividing you have a remainder, add a zero to the dividend and continue to
divide until there is no remainder or the decimals recur. Now bring down the next 0, so we must divide 20 by 4. This gives us 5
with a remainder of 0.
4 233.40
58.35
- 2033
- 3314
- 1220
- 2000
![Page 25: CONFIDENTIAL1 Good Afternoon! Today we will be learning about Dividing with decimal remainders Let’s warm up : Divide: 1) 42 ÷ 4 2) 25.93 ÷ 8 3) 23 ÷ 40.](https://reader035.fdocuments.in/reader035/viewer/2022062801/56649e375503460f94b27631/html5/thumbnails/25.jpg)
CONFIDENTIAL 25
You have done a nice job.See you in the next session.