SCIENTIFIC CALCULATOR

5.1 Entering numbers using scientific notation to your calculator

Numbers written in scientific notation can be input directly to the calculatorby making use of the key located on the bottom row of keys. For example, can be entered using this key-sequence .

13. Activity Calculatingwith Scientific notation

Use the scientific notation features that are built into your calculator to determine each of the following and then provide your answer in both ordinary and scientific formulas.

The answer is revealed

6 Powers, surds and power on the calculator. calculator

Entering fractional and negative power

In Activity 4 you saw how you could use the key key to calculate powers on the calculator. The key can be utilized in conjunction with other functions, such like the fraction templates to calculate negative and fractional power.

14. Activity Calculating more power

Determine each of the following using your calculator and then give your answer in 3 figures.

Reveal answer

6.1 Use the roots calculator on your calculator

As there are buttons on your calculator for entering power values the roots can simply be typed in. Square roots can be calculated with keys. For example, the button. For instance, can be entered by using . Cube roots are entered with the secondary function of this key. For more complex roots, such as fourth or fifth roots, it is necessary to use the more general template which is the other purpose of the keys. The template is filled in by using the number and arrow key ( and ) using a method similar to the way used when the fraction template is completed.

Activities 15 Calculating roots

Answer the following questions using your calculator Then, you must give your answer in 3 figures.

Find the answer

It is evident from the result of Activity 15 part 4. 4 that the calculator will sometimes provide answers with surds.

This is true only it the calculator is in the preferred Math mode.

To determine the decimal equivalent of an answer such as this, you can make use of your or keys that you have used previously to discover the decimal forms in fractional responses.

6.2 Inserting a root that is missing

When entering into your calculator the expression that is based on roots, it is possible to fail to press the proper function key. However, moving your cursor over the correct spot and pressing the missing key as described in section 1 above, won't work as this will just insert an empty template.

If you wish to edit an expression in order to insert a missing root, first move the cursor in the correct position, that is, just to the left side of the number. Then , you can activate the "Insert" functionality when you press (INS) followed by pressing the appropriate root key.

7 Trigonometric ratios that you can calculate on your calculator

There are many different units by which angles is measured, with degrees being just one of them. Before you can use your calculator to determine the values of trigonometric ratios for angles measured in degrees, you must ensure that it is set to use the correct units.

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

This calculator will use the degree if the indicator for display is visible at the top of the screen. If you see the indicator or you see the display, then you're calculator can be set to employ different degrees when measuring angles.Figure 9 The degree setting

To configure the calculator into working with degrees, follow to enter the sequence (SETUP) (Deg).

To calculate the sine cosine or tangent of an angle, simply press to use the , or key and enter the length of the angle. Take note that , and keys automatically open the bracket for you to open a bracket for. If you're only calculating the cosine, sine or tangent of an angle just tap after entering the angle - there's not a need for closing the bracket. If you're using these ratios to aid in larger calculations, then you'll need to close the bracket on your own (by pressing ) before entering the other part of the calculation.

Certain older models calculator have the required angle to be entered first, then followed by the , or button.

Worksheet 16 Trigonometric proportions calculator

Calculate the value of each of the following with your calculator Give your answers in order to three significant figures.

Reveal answer

You'll notice from the answers to the question (3) you will notice that this calculator displays the ratios of certain angles in fractions, including surds if needed, but not in decimal form.

The decimal form can be found by using the .

8 Identifying angles using trigonometric ratios

Inverse trigonometric value are found by using the second functions , and of the, and keys. These functions function similarly to , and .

Activity 17 Find angles from trigonometric ratios

Calculate the value of the following expressions using your calculator, where possible and then give your answers to 1 decimal place.

The answer is revealed

In part (1) in this exercise above, you utilized your calculator to identify an angle with a sine value of 0.5. This is not the only angle with a sine of 0.5 However, you can make use of this angle to determine other angles. Similar points apply to the parts (2) and (3).

9 Radians on your calculator

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

In this mode, the indicator for display is displayed.

Activity 18 Radians in your calculator

In this task it is measured angles in Radians. Find the values of the following equations with your answers being correct to three significant figures.

Answer the question

Notice from the final example that where an answer is a simple (possibly fractional) multiple of the answer is shown in terms of rather than as an decimal number.

10 Logarithms on your calculator

Logarithms up to base 10 of numbers can be found using keys. key. For instance, it can be determined using an algorithm called the key sequence . It is important to note that, like the trigonometric functions in the above example, the key is able to open a bracket that must be closed if using the calculated logarithm in the course of a bigger calculation.

The second use of the key , accessed through the keyboard, can be utilized as an alternative for formulating powers of 10.

18 Calculating logarithms

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

, , (1 billion) ,