calculator

5.1 Entering numbers in scientific notation to your calculator

Numbers expressed in scientific notation can be input directly to the calculator by selecting the key that is located at the bottom row of keys. For example, can be entered with the key sequence .

13, Activity Calculating with the scientificnotation

Utilize the functions of scientific notation that are built into your calculator to calculate each of the above answering questions in both conventional and scientific forms.

Get the answer

6 Powers and surds for the calculator. calculator

Inputing fractional and negative powers

The key was introduced in Activity 4 you saw how to use the key for input powers on the calculator. The key is able to be used along with other functions, for instance, using the fraction template , to calculate the fractional and negative power.

Activity 14 Calculating more powers

Calculate each of the following using your calculator, giving your answer accurate to 3 significant figures.

The answer is revealed

6.1 Utilizing the roots of your calculator

Similar to the buttons on your calculator for entering power values the roots can enter directly. It is possible to calculate square roots with key number key. For example, can be entered by using . Cube root entries are made using the second function of the key. For more complex roots, like fourth or fifth roots, it is necessary to apply the more general template that's the second function to the keys. The templates is completed using the number and arrow keys ( and ) using a method similar to the method used when a fraction template is finished.

Activity 15 Calculating roots

Calculate each of the following using your calculator Then, you must give your answer in 3 figures.

Answer the question

You can see from the results of Activity 15, part 4 that the calculator often provides answers with surds.

This is only true when the calculator is operating in the recommended Math mode.

To find the decimal equivalent of an answer like this, you can utilize these or keys that you used earlier to identify the decimal equivalents for fractional solutions.

6.2 Inserting a root that is missing

Sometimes , when you enter into your calculator an equation that involves roots, you could overlook pressing the correct function key. But, moving the cursor towards the correct location and pressing the missing key similar to the one in section 1 is not going to work since it simply inserts an empty template.

If you wish to edit an expression in order to insert a missing root, first shift the cursor to the correct place - that is just to the left side of the number. Then , you can activate the "Insert" button when you press (INS), and finally press the root key that is appropriate.

7 Trigonometric Ratios on your calculator

There are many different types of units that an angle can be measured, with degrees being just one of them. Before using your calculator to determine the values of trigonometric proportions of angles measured in degrees, you should ensure that it's set to utilize the appropriate units.

Always verify that your calculator is making use of the correct system for angle measurement before you use trigonometric ratios.

Your calculator will use the degree when the display indicator is displayed on the upper right hand corner of your screen. If you see the display indicator or , then it means that your calculator uses different measurement units for measuring angles.Figure 9 The setting of degrees

To change the settings of the calculator for working in decimal degrees, follow this key sequence (SETUP) (Deg).

To determine the sine, cosine or tangent of an angle, simply press on the , or key and type in the size that the angle. It is important to note that , and keys will automatically open a bracket for the user to use. If you're only calculating the cosine, sine or tangent of an angle, simply click after entering the angle, there is absolutely no requirement to shut the bracket. If you are using these ratios in a larger calculation, then you'll need to close the bracket by yourself (by press ) prior to entering the other part of the calculation.

Some older models of calculator have the required angle to be input first, and then the , or button.

Activity 16 Trigonometric ratios on your calculator

Calculate the value of each of the following by using your calculator Give your answers right to 3 significant numbers.

Get the answer

You will notice from the response to part (3) that the calculator displays the ratios of some angles as fractions, including surds if needed, and not in decimal forms.

The decimal format can be found using and .

8 Finding angles from trigonometric ratios

Inverse trigonometric value can be determined using the second functions , and of the keys, and. These functions are used in the same way as , and .

Activity 17 Finding angles from trigonometric ratios

Find the value for each of the expressions below using your calculator Where possible, giving your answers correct to 1 decimal.

Reveal answer

In the first part (1) in this task above, you utilized your calculator to identify an angle with a sine of 0.5. It's not the only angle with a sine of 0.5, but you can make use of this angle to determine other angles. Similar statements apply to sections (2) as well (3).

9 Radians on your calculator

Your calculator could be set to calculate trigonometric functions using the radian measure for angles instead of degrees, by using an appropriate key sequence (SETUP) (Rad).

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

Activity 18 Radians on your calculator

In this task the angles are measured in radians. Determine the value of the following equations in the correct order, and provide your answers to 3 significant figures.

Get the answer

The final instance in this exercise that where an answer is an easy (possibly fractional) multiple of the answer, it will be displayed in terms instead of a decimal number.

10 , Logarithms, on your calculator

Logarithms that are based on base 10 numbers can be found using the key. As an example, they can be calculated using an algorithm called the key sequence . Note that as with the trigonometric functions in the above example, the key instantly opens a bracket that must be closed if you are using the calculated logarithm in the course of a longer calculation.

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

19. Activity Calculating logarithms

Use your calculator to determine the value of the following.

, , (1 billion) ,