© Teachers Teaching with Technology (Scotland)
Teachers Teaching with Technology
T3 Scotland
Standard Form
©Teachers Teaching with Technology (Scotland)
STANDARD FORM ON THE TI-83
Aim
To demonstrate how the TI-83 can be used to explore Standard form
Objectives
Mathematical objectives
By the end of this topic you should be able to
• Perform standard form calculations on the TI-83
Calculator objectives
By the end of this topic you should be able to
• Perform standard form calculations on the TI-83
T3 Scotland
Standard Form (Scientfic Notation)
Page 1 of 4
STANDARD FORM ON THE TI-83
When we carry out multipilcations using very large numbers or very small numbers we tend to
carry out the calculation in two parts. For example to find 3 000 000 × 2 000 000 we might
start with 3 × 2 = 6 and then multiply 1 000 000 × 1 000 000 = 1 000 000 000 000
and so;
3 000 000 × 2 000 000 = 6 000 000 000 000
What we do is organise the calculation so that we multiply two numbers between 1 and 10 and then
consider the combination of place values seperatly.
The calculation
3000000 × 2000000
may be set as as follows
This number is needed
(3 x 106 )(2 x 106 )
to show the place value
of the 2
Between 1 and 10
This number is needed
to show the place value
of the 3
Between 1 and 10
6
6
The place value of the answer is given by 10 × 10 = 10
and so the answer may be written as 6 × 10
12
12
For very small numbers we do much the same although the index number of the place value is
negative.
So
0·00003 × 0·0002
becomes
(3 x 10 5 )( 2 x 10 4 )
(3 x 10 5 )( 2 x 10 4 )
Between 1 and 10
This number is needed
to show the place value
of the 3
and as before we get the answer 6 × 10
T3 Scotland
This number is needed
to show the place value
of the 2
Between 1 and 10
-9
Standard Form (Scientfic Notation)
Page 2 of 4
This type of calculation can be carried out on the TI-83
Press the MODE button to get the screen shown
and using the cursor keys highlight Sci
Standard for is also known as Scientific notation
QUIT
2nd
MODE to return to the home screen. You are now ready to carry out calculations
Press
using standard form on the calculator.
Example.
6
6
From above find ( 3 x 10 )( 2 x 10 )
On the calculator press
EE J
3
EE J
2nd
x
6
2
6
2nd
ENTER
This should give the answer shown
Example.
From above find
(3 x 10 5 )( 2 x 10 4 )
On the calculator press
EE J
3
2nd
EE J
(
)
5
x
2
2nd
(
)
4
This should give the answer shown
Try the above calculations but with the mode screen set as
T3 Scotland
Standard Form (Scientfic Notation)
Page 3 of 4
Reset the [MODE] screen to SCI and try the following;
1.
a) ( 31
. × 10 )(8.4 × 10 )
15
3.
11
14
c) ( 2.81 × 10 )( 314
. × 10 )
d) (111
. × 10 )(2.88 × 10 )
a) (121
. × 10−11 )( 2.88 × 10−83 )
b) ( 9.91 × 10−21 )( 381
. × 10−3 )
c) ( 0.74 × 10−3 )( 246 × 10−9 )
. × 10
d) (122
a) (122
. × 10−31 ) + (2.67 × 109 )
b) (132 × 10−11 ) − ( 2.67 × 1013 )
112
2.
b) ( 7.39 × 10 )(8.13 × 10 )
12
c)
(8 × 1012 ) ÷ (8 × 102 )
22
17
d)
−31
3
)(2.67 × 109 )
(16 × 106 ) ÷ (8 × 102 )
Calculate the following but give your answer as a decimal number
4.
a) (16 × 106 ) ÷ (8 × 102 )
b) ( 36 × 10 ) ÷ (6 × 10 )
(3 × 102 ) × (6 × 103 )
d) (16 × 10 ) × (10 × 10 )
c)
T3 Scotland
10
4
Standard Form (Scientfic Notation)
5
3
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