calculator

5.1 Entering numbers using scientific notation to your calculator

Numbers expressed in scientific notation can be input directly to calculators directly calculatorby using the key that is located at the right side of the keyboard. For example, is possible to enter keys .

13. Activity Calculating with scientific notation

Use the scientific notation features within your calculator to calculate the following, giving your answer in both conventional and scientific formulas.

The answer is revealed

6 Powers, surds and power on the calculator. calculator

Entering fractional and negative power

The key was introduced in Activity 4 you saw how you can utilize the key in order to enter powers on the calculator. The key is able to be used alongside other functions, such using the fraction template , to calculate negative and fractional power.

Activities 14 Calculating more power

Calculate each of the following using your calculator Give your answer correctly to three significant figures.

Get the answer

6.1 Applying roots to your calculator

Similar to the some keys in the calculator to enter power as well, roots can been entered in a direct manner. They can even be computed using keys. For example, the keyboard. For example, can be entered by using . Cube roots are entered with the second function of the key. To enter higher roots such as fourth or fifth roots, it is necessary to apply the more general template that serves as the third function for the key. This model is entered by using the arrow and number keys ( and ) using a method similar to the method used when a fraction template is filled in.

15. Activity Calculating roots

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

Answer the question

It is evident from the results of Activity 15 Part 4, that the calculator will sometimes provide answers with surds.

This is true only if the calculator is operating in the suggested Math mode.

To find the decimal equivalent to an answer similar to this, you can make use of your or keys that you have used previously to find the decimal forms from fractional questions.

6.2 Inserting a root with a defect

When entering into your calculator an expression involving roots, you could overlook pressing the correct function key. However, moving your cursor over the correct spot and pressing the key that is not there, as in section 1, will not work as this is simply inserting an inactive template.

If you wish to edit an expression to add the root that is missing, first move the cursor to the correct location - that is, in the direction to the left. After that, activate the "Insert" functionality with the press of (INS) after which press the appropriate root key.

7 Trigonometric ratios that you can calculate on your calculator

There are numerous different units by which angles can be measured, degrees being just one of them. Before you can use your calculator to determine the value of trigonometric rations of angles measured in degrees, it is important to make sure that you have set it to use the correct units.

Always ensure that your calculator is making use of the correct system for angle measurement prior to using trigonometric ratios.

It is likely that your calculator has been set to work with degrees when the indicator for display is visible above the main screen. If you see the indicator as well the indicator, then it means that your calculator has been set up to utilize different measurements when measuring angles.Figure 9 The degrees setting

To configure your calculator so that it works in degrees, 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 length that the angle. Make sure that , and keys will automatically create a bracket automatically for you to open a bracket for. If you're simply trying to calculate the sine, cosine or tangent of an angle, just tap after when you've entered your angle - there's no need to close the bracket. If you're using these ratios in a larger calculation, then it is important to remember to close the bracket by yourself (by pressing ) prior to entering any other calculations.

The older versions of calculator require the angle to be entered first, then and then the , or button.

Activity 16 Trigonometric ratios on your calculator

Determine the value of each of these using your calculator Answer the questions in order to three significant figures.

Get the answer

It is evident from the solution to part (3) that the calculator displays the ratios of some angles as fractions, involving surds where needed, and not in decimal format.

The decimal form can be obtained by using either .

8 Finding angles from trigonometric ratios

Inverse trigonometric results can be determined using the second functions , and of the keys, and. These functions are utilized in a similar manner to , and .

Activity 17 Identifying angles using trigonometric ratios

Calculate the value of the following expressions using your calculator If you are able and then give your answers up to one decimal.

Answer the question

In the first part (1) in this task above, you utilized your calculator to find an angle that has a sine of 0.5. It's not the sole angle with a sine of 0.5 however, you could apply this angle to discover the other angles. Similar remarks apply to parts (2) as well (3).

9 Radians in your calculator

Your calculator could be set to calculate trigonometric functions by using the radian measure for angles, rather than degrees, by using this key sequence (SETUP) (Rad).

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

Activity 18 Radians on your calculator

In this exercise the angles are measured in Radians. Find the values of the following expressions by completing your responses to three significant figures.

The answer is revealed

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

10-Logarithms using your calculator

Logarithms up to base 10 of numbers can be found with the help of key key. For example, can be determined using keysequences . Note that as with the trigonometric functions in the above example, the key opens an automatic bracket that needs to be closed if using the calculated logarithm in the course of a longer calculation.

The function 2 of the key , accessed using , can be used to substitute for formulating powers of 10.

The activity 19 Calculating logarithms

Make use of your calculator to calculate the numbers for the next.

, , (1 billion) ,