SCIENTIFIC CALCULATOR

5.1 Inputting numbers in scientific notation to your calculator

The numbers expressed in scientific notation can be input directly to the calculatorby making use of the key located on the lower row of keys. For instance, the key is possible to enter this key-sequence .

13. Activity Calculatingwith the scientificnotation

Use the scientific notation function that are built into your calculator to determine the number of these answers, and provide the answer in both standard and scientific formats.

Get the answer

6 Powers and surds on your calculator

Inputing fractional and negative powers

It was in Activity 4 you saw how to make use of key key in order to enter powers on the calculator. The key is able to be used along with other functions, for instance, for the template of fractions to calculate the fractional and negative power.

Activity 14 Calculating more powers

Calculate each of the following using your calculator Answer right to 3 significant numbers.

Get the answer

6.1 Utilizing the roots of your calculator

Just as there are keyboards in your calculator for entering power values the roots can been entered in a direct manner. Square roots can be calculated using key number key. For instance, can be entered by using . Cube roots are entered with the second function of this key. For higher roots, like fifth or fourth roots you need to apply the more general template, which is the second function in the keys. This template can be filled out using the arrow and number keys ( and ) in a similar way to that used when the fraction template is finished.

Exercise 15 Calculating roots

Determine each of the following using your calculator Give your answer correct to 3 significant figures.

The answer is revealed

The result of Activity 15 part 4, that the calculator will sometimes provide answers with surds.

This is only the case it the calculator is set to the recommended Math mode.

To find the decimal equivalent to an answer similar to this, you can use the or keys you've used in the past to find the decimal forms in fractional responses.

6.2 Inserting a root missing

When entering into your calculator the expression that is based on roots, you may miss pressing the appropriate function key. But, moving the cursor to the appropriate point and pressing the wrong key, as in section 1, will not work as this will just insert the template in an unfilled position.

If you'd like edit an expression in order to insert an incorrect root, first move the cursor to the proper position, which is, in the direction to the left. After that, activate the "Insert" option through pressing (INS) after which press the root key that is appropriate.

7 Trigonometric proportions to your calculator

There are various different measurement units for angles that can be measured, degrees being one of the possibilities. Before you use your calculator to find the values of trigonometric ratios for angles measured in degrees you should ensure that it is configured to use the appropriate units.

Always check that your calculator is using the correct system of angle measurement before using trigonometric ratios.

You calculator is set to use degrees if the indicator for display is visible above the main screen. If you notice this indicator or the indicator, then your calculator has been set up to utilize different measurements for measuring angles.Figure 9 The degree setting

To adjust the calculator to operate in degree, make use of the key sequence (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. Be aware that , and keys will automatically open the bracket for you. If you're only calculating the sine, cosine or tangent of an angle just enter the numbers after when you've entered your angle - there's no need to close the bracket. If you're using these ratios to aid in larger calculations, then you'll need that you must close the bracket (by press ) before you enter your calculation.

Certain older models of calculator require the angle to be entered first, which is then followed by , or button.

The activity 16 is Trigonometric Rapports. You can find them on your calculator

Calculate the value of each of the following using your calculator, giving your answers in order to three significant figures.

Reveal answer

You'll notice from the answers to the question (3) how the calculator will display the ratios of some angles as fractions, involving surds where needed, and not in decimal forms.

The decimal form is available by using or .

8 Finding angles from trigonometric ratios

The inverse trigonometric coefficients are found by using the second and third functions, as well as of the, and keys. These functions function in a similar manner to , and .

Activity 17 Find angles from trigonometric ratios

Calculate the value of each of the following equations using your calculator, where possible providing your answers to 1 decimal place.

The answer is revealed

In part (1) in this work above, you used your calculator to find an angle that has a sine of 0.5. This is not the only angle whose sine is 0.5, but you can utilize this angle to identify the other angles. Similar statements apply to sections (2) and (3).

9 Radians on your calculator

Your calculator is able to calculate trigonometric calculations using the radian measure to calculate angles instead of degrees, by making use of an appropriate key sequence (SETUP) (Rad).

When the mode is in this state, the display indicator will be displayed.

Activity 18 Radians in your calculator

In this activity you will be measuring angles in the radians. Find the values of the following formulas with your answers being correct to 3 significant figures.

Reveal answer

In the final example in this activity that where the answer is simple (possibly fractional) multiple of the answer will be displayed in terms instead of an decimal number.

10-Logarithms using your calculator

Logarithms for base 10 numbers can be calculated using keys. key. As an example, they can be calculated using the key sequence . Note that as with the trigonometric functions, the key is able to open a bracket, which needs to be closed if you are using the logarithm calculated as part of a longer calculation.

The second purpose of the key , accessed through the keyboard, can be utilized as an alternative when doing calculations on powers of 10.

Activity 19 Calculating logarithms

Use your calculator to calculate the numbers from the table below.

, , (1 billion) ,