5.1 Inputting numbers in scientific notation to your calculator
In scientific notation, numbers can be input directly to the calculator by with the key at the bottom row of keys. For instance, they you can enter numbers using an alphabetic key .
The activity 13 Calculating with annotations from science
Utilize the functions of scientific notation in your calculator to calculate each of the following you can answer the question in both normal and scientific form.
Reveal answer
6 Powers and surds for your calculator
Inputting fractional and negative powers
As part of Activity 4 you saw how you could use the key key to calculate power values on the calculator. The
key is able to be used in conjunction with other functions, such as the fraction template
for calculating negative and fractional power.
Activities 14 Calculating more power
Calculate each of these using your calculator Give your answer correctly to three significant figures.
The answer is revealed
6.1 Using roots on the calculator
Just as there are keyboards in your calculator to enter the power the roots can be entered directly. Square roots can be calculated using this key. For example,
can be entered using
. Cube roots can be entered using the second function of the key. For higher roots, such as fourth or fifth roots, it is necessary to employ the more general
template, which is the second purpose of the
key. This templates is completed using the number and arrow key (
and
) in a manner similar to how it is used when the fraction template has been completed.
Activities 15 Calculating roots
Calculate each of these using your calculator, giving your answer accurate to 3 significant figures.
Reveal answer
You will notice from the result of Activity 15, part 4. 4 that the calculator occasionally provides answers using surds.
This is true only when the calculator is set to the recommended Math mode.
To determine the decimal equivalent of a question like this, you can utilize these or
keys that you have used previously to find the decimal forms from fractional questions.
6.2 Inserting a root missing
Sometimes when entering into your calculator an expression that has roots, you may not press the correct function key. But, moving the cursor to the correct point and pressing the key that is not there similar to the one in section 1, will not work as this will just insert without a template.
If you'd like to edit an expression in order to insert an unintentional root, you must first move the cursor into the correct place - that is, on the right side, to leave the number. Next, activate the "Insert' feature with the press of
(INS) then press the root key that is appropriate.
7 trigonometric ratios you can find on your calculator
There are a variety of measurement units for angles that is measured, with degrees being one of them. Before using your calculator to calculate the values of the trigonometric ratios of angles in degrees, it is important to make sure that it's set to utilize the appropriate units.
Make sure that your calculator is using the correct method of angle measurement before you use trigonometric ratios.
This calculator will use the degree when the indicator for display is displayed in the center of the display. If you see this indicator
in the upper right hand corner
, then your calculator uses different measurement units for measuring angles.Figure 9 The degrees setting
To configure the calculator so that it works in degrees, use keys
(SETUP)
(Deg).
To calculate the sine, cosine or tangent of an angle press to use the ,
or
key and enter the dimensions of your angle. Note that the
,
and
keys will automatically open a bracket for you to open a bracket for. If you're just calculating the cosine, sine or the tangent for an angle, just hit the keys
after to enter the angle - there's no need to close the bracket. If you are using the ratios as part of larger calculations, then you will need to remember that you must close the bracket (by pressing
) before entering your calculation.
Some older models of calculator require the angle to be input first, which is then followed by ,
or
button.
Worksheet 16 Trigonometric proportions calculator
Determine the value of each of the following with your calculator Give your answers exact to 3 significant numbers.
Find the answer
You will notice from the solution to part (3) you will notice that this calculator displays the ratios of some angles as fractions, that include surds as needed but not in decimal form.
The decimal form can be obtained by using
as well
.
8 Finding angles from trigonometric ratios
Inverse trigonometric values can be determined using the second functions , and of the keys, and. These functions are used in a similar way to ,
and
.
Activity 17 Find angles from trigonometric ratios
Find the value for the following expressions using your calculator, where possible providing your answers within 1 decimal.
Answer the question
In part (1) in the task above, you utilized your calculator to determine an angle that has a sine of 0.5. This is not the only angle whose sine is 0.5 However, you can make use of this angle to determine other angles. Similar points apply to the parts (2) of (3).
9 Radians in your calculator
Your calculator can be programmed to calculate trigonometric calculations using the measure of radian angles, rather than degrees, by using the sequence key
(SETUP)
(Rad).
In this mode the indicator on the display is displayed.
Activity 18 Radians in your calculator
In this lesson the angles are measured in Radians. Determine the value of the following equations with your answers being correct to three significant figures.
Get the answer
In the final illustration in this activity where the answer is simple (possibly fractional) multiple of the answer is shown in terms of
instead of a decimal number.
10 . Logarithms 10 on the calculator
Logarithms to base 10 of numbers are found by using keys. key. As an example, they can be calculated by using this key sequence . As with trigonometric functions, the
key automatically opens a bracket that must be closed if using the calculated logarithm in the course of a bigger calculation.
The second function of the key , accessed via the internet, could be used as an alternative for calculating powers of 10.
19. Activity Calculating logarithms
Make use of your calculator to determine the value from the table below.
,
,
(1 billion) ,
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