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oC
60
50
40
30
20
10
0
-10
-20
-30
Read the temperature on the
thermometer as it changes.
Thermometer
oC
60
50
40
30
20
10
0
-10
-20
-30
Read the temperature on the
thermometer as it changes.
200C
oC
60
50
40
30
20
10
0
-10
-20
-30
Read the temperature on the
thermometer as it changes.
-100C
oC
60
What is the difference
in temperature between
the two thermometers?
Difference
oC
60
50
50
40
30
40
30
20
20
10
10
0
0
-10
-10
-20
-30
-20
-30
40 degrees
Put the following in order of size
from smallest to biggest :
1)
5 °C, 3 °C, -5 °C, 0 °C, -8 °C
-8°C, -5°C, 0°C, 3°C, 5°C
2)
-34 m, 12m, -15m, 1m, -3m
-34m, -15m, -3m, 1m, 12m
3)
2.5, -0.5, -1, 4, -2, -1.5, 0
-2, -1.5, -1, -0.5, 0, 2.5, 4
Answers
Menu
Negative Numbers
• L.O:-
To be able to
add and subtract
positive and negative
numbers.
Key Words
•
•
•
•
•
Negative
Whole number
Addition
Subtraction
Integer
Negative Numbers on the Number Line
Negative numbers are useful for representing quantities that can
have values below zero. Examples include temperature, debt and
heights below sea level. The part of the number line that consists of
the positive and negative whole numbers, together with zero, are
called the integers.
Number Line
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10
To add numbers on a number line simply count to the right.
To subtract numbers on a number line simply count to the left.
ADD +
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
Subtract -
1
2
3
4
5
6
7
8
9 10
Negative Numbers on the Number Line
2+5=
7
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0+6=
2
3
6
5
4
9 10
8
7
0
1
2
3
4
5
6
7
8
9 10
0
1
2
3
4
5
6
7
8
9 10
0
1
2
3
4
5
6
7
8
9 10
0
1
2
3
4
5
6
7
8
9 10
0
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-4+7=
1
4
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-5 + 5 =
0
6
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-3 + 7 =
Adding +
3
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
Negative Numbers on the Number Line
Adding +
You may use the number line if you wish, to answer the following:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10
1
-1+3=
2
6
-8+8=
0
2
-4+5=
1
7
-9+6=
-3
3
-6+9=
3
8
-5+4=
-1
4
- 7 + 12 =
5
9
- 10 + 20 =
10
5
- 6 + 10 =
4
10
- 15 + 8 =
-7
Work out the following :
1)
5–7
-2
2)
3–5
3)
1–4
4)
2–6
-4
5)
5 – 10
-5
6)
-1 – 2
7)
-2 – 3
-5
8)
-3 – 1
-4
9)
0–3
10)
-2 + 5
3
11)
-1 + 6
5
12)
-5 + 7
2
13)
-4 + 7
3
14)
-4 + 4
0
15)
-3 + 8
5
16)
-5 + 2
-3
17)
-3 + 1
-2
18)
-2 + 2
0
19)
12 – 20
-8
20)
-15 – 10
- 25 21)
-8 + 20
12
22)
-14 + 7
-7
23)
-30 – 20
- 50 24)
15 – 20
-5
25)
12 – 20 + 10
27)
-1 + 2 – 3 + 4 – 5 + 6 – 7 + 8 – 9 + 10
2
Answers
26)
-2
-10 + 4 – 10
- 16
5
Menu
-3
-3
-3
Adding integers
We can use a number line to help us add positive and
negative integers.
–3 + –4 = –7
-7
-3
To add a negative integer we move backwards down the
number line.
–3 + –4 is the same as
–3 – 4
-
-5
-4
-3
-2
-1
0
1
2
3
4
5
Move
-- =+
Direction to move
++=+
Start
1 + - 2 = -1
+- =-+ =-
Menu
+
-
-5
-4
-3
-2
-1
0
1
2
3
4
5
Move
-- =+
Direction to move
++=+
Start
+
-2 - - 3 = 1
+- =-+ =-
Menu
+
-
-5
-4
-3
-2
-1
0
1
2
3
4
5
Move
-- =+
Direction to move
++=+
Start
-1 - + 3 = -4
+- =-+ =-
Menu
+
-
-5
-4
-3
-2
-1
0
Move
Direction to move
Start
4+-3 =1
1
2
3
4
5
++=+
-- =+
+- =-+ =-
Menu
+
-
-5
-4
-3
-2
-1
0
Move
Direction to move
Start
+
-3 + + 8 = 5
1
2
3
4
5
++=+
-- =+
+- =-+ =-
Menu
+
-
-5
-4
-3
-2
-1
0
Move
Direction to move
Start
+
0--4 =4
1
2
3
4
5
++=+
-- =+
+- =-+ =-
Menu
+
Negative Numbers on the Number Line
Subtracting You may use the number line if you wish, to answer the following:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10
1
7+ - 3 =
4
6
- 1 +- 1 =
-2
2
4 -- 4 =
8
7
- 2+ - 3 =
-5
3
-3 - 5 =
-8
8
- 5 -- 3 =
-2
4
1 - +8 =
-7
9
- 7 -+ 3 =
-10
5
0 -- 6 =
6
10
- 3 -- 12 =
9
Work out the following :
-6
1)
5 + -2
3
2)
3 - -3
6
3)
-5 + -1
4)
-6 - +3
-9
5)
8 + +4
12
6)
9 - -9
18
7)
0 + -7
8)
-8 - -10
2
9)
6 - +6
0
10)
10
6 - -7 + -3 11)
13)
0--4--4+4
-7
6 + 5 - -1
12
Answers
14)
1212)
-2 - 5 - -1
-1 - 1 - - 1- -1
Menu
0
-6