0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help...
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Transcript of 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help...
![Page 1: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/1.jpg)
Adding and Subtracting Integers
![Page 2: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/2.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
When we add or subtract integers we can use a number line to help us see what is happening
with the numbers.
![Page 3: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/3.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
At the centre of the number line is the integer zero.
![Page 4: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/4.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
The positive numbers are to the right along the number line.
When we add integers we move “up” in this direction.
![Page 5: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/5.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
The negative numbers are to the left along the number line.
When we subtract integers we move “down” in this direction.
![Page 6: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/6.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?
![Page 7: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/7.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.
![Page 8: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/8.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.
![Page 9: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/9.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.We are going to add +3 so we need to move 3 places up (to theRight on our number line).
![Page 10: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/10.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.We are going to add +3 so we need to move 3 places up (to theRight on our number line).
![Page 11: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/11.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.We are going to add +3 so we need to move 3 places up (to theRight on our number line).
+1
![Page 12: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/12.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.We are going to add +3 so we need to move 3 places up (to theRight on our number line).
+2
![Page 13: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/13.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.We are going to add +3 so we need to move 3 places up (to theRight on our number line).
+2
![Page 14: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/14.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.We are going to add +3 so we need to move 3 places up (to theRight on our number line).
+2
![Page 15: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/15.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.We are going to add +3 so we need to move 3 places up (to theRight on our number line).
+3
![Page 16: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/16.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = ?Let’s start at the first integer in our sum, that is, positive one.We are going to add +3 so we need to move 3 places up (to theRight on our number line).
+3
We end up at the value 4.
So… 1 + 3 = 4
![Page 17: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/17.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 + 3 = 4
![Page 18: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/18.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
![Page 19: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/19.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
We will start at +1 again as this is the
first part of our sum
![Page 20: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/20.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
This time we are subtracting 3 so we
will move “down” (to the left) on our
number line
![Page 21: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/21.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
This time we are subtracting 3 so we
will move “down” (to the left) on our
number line
![Page 22: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/22.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
This time we are subtracting 3 so we
will move “down” (to the left) on our
number line
-1
![Page 23: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/23.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
This time we are subtracting 3 so we
will move “down” (to the left) on our
number line
-1
![Page 24: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/24.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
This time we are subtracting 3 so we
will move “down” (to the left) on our
number line
-2
![Page 25: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/25.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
This time we are subtracting 3 so we
will move “down” (to the left) on our
number line
-2
![Page 26: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/26.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
This time we are subtracting 3 so we
will move “down” (to the left) on our
number line
-3
![Page 27: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/27.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = ?
-3
We end up at negative two.
So… 1 – 3 = -2
![Page 28: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/28.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Example: 1 - 3 = -2
![Page 29: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/29.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
![Page 30: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/30.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
We will start at negative four on the
number line
![Page 31: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/31.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
We are subtracting 3 so we will move
“down” (to the left) on our number line by
3 units
![Page 32: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/32.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
We are subtracting 3 so we will move
“down” (to the left) on our number line by
3 units
![Page 33: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/33.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
![Page 34: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/34.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
![Page 35: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/35.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
![Page 36: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/36.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
![Page 37: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/37.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
![Page 38: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/38.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = ?
We end up at negative seven, so…
![Page 39: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/39.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
What about: -4 - 3 = -7
![Page 40: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/40.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Finally, what do these mean?
5 + -2 ?
5 - -2 ?
![Page 41: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/41.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Finally, what do these mean?
5 + -2 ?
5 - -2 ? A plus and minus together means the same as subtract. So replace them
with a minus sign
![Page 42: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/42.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Finally, what do these mean?
5 + -2 is the same as 5 - 2
5 - -2 ?
![Page 43: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/43.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Finally, what do these mean?
5 + -2 is the same as 5 - 2
5 - -2 ?Two minus signs together means the same as add. So replace them with a
plus sign
![Page 44: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/44.jpg)
0 1 2 3 4 5 6 7 8 9 10-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Adding and Subtracting Integers
Finally, what do these mean?
5 + -2 is the same as 5 - 2
5 - -2 is the same as 5 + 2
![Page 45: 0 12345678910-10-9-8-7-6-5-4-3-2 When we add or subtract integers we can use a number line to help us see what is happening with the numbers.](https://reader030.fdocuments.in/reader030/viewer/2022032709/56649eb05503460f94bb64a4/html5/thumbnails/45.jpg)
THE END