calculator

5.1 Entering numbers using scientific notation to your calculator

In scientific notation, numbers are able to be entered directly into calculators directly calculator by with the key in the bottom row of keys. In this case, for example, it is possible to enter an alphabetic key .

The activity 13 Calculating with the scientificnotation

Utilize the functions for scientific notation that are built into your calculator to calculate each of the following answers, and provide the answer in both conventional and scientific forms.

Answer the question

6 Powers and surds to your calculator

Inputting fractional and negative powers

The key was introduced in Activity 4 you saw how to make use of the key to input the power in the calculator. The key can be utilized alongside other functions, such for the template of fractions , to calculate negative and fractional power.

14. Activity Calculating more power

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

Answer the question

6.1 Use the roots calculator on the calculator

Similar to the keys on your calculator for entering powers as well, roots can been entered in a direct manner. The square root can also be determined by using the keys. For instance, 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, you should utilize the more generic template that serves as the third purpose for the keys. The template is filled in using the number and arrow key ( and ) in a similar way to the way used when the fraction template is finished.

Activity 15 Calculating roots

Calculate each of these using your calculator and then give your answer accurate to 3 significant figures.

Get the answer

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

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

To determine the decimal equivalent of a question like this, you can make use of the or keys you've used in the past to determine the decimal equivalents from fractional questions.

6.2 Inserting a missing root

Sometimes , when entering into your calculator the formula that requires roots, you might overlook pressing the correct function key. However, moving the cursor to the correct point and pressing the missing key similar to the one in section 1 above, won't work as it will simply create an empty template.

If you wish to edit an expression to add an unintentional root, you must first shift the cursor to the right position - that is just to the left side of the number. Then activate the 'Insert' feature with the press of (INS) after which press the appropriate root key.

7 Trigonometric ratios that you can calculate on your calculator

There are many different types of units that an angle 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 you must ensure that the calculator is set to use the correct units.

Make sure that your calculator is using the correct system of measurement of angles prior to using trigonometric ratios.

The calculator has been set to work with degrees when the indicator for display is towards the front of the display. If you see this indicator as well the indicator, then you're calculator can be set to employ different degrees for measuring angles.Figure 9 The setting of degrees

To set the calculator so that it works in degrees, use to enter the sequence (SETUP) (Deg).

To determine the sine cosine, tangent, or sine of an angle, use or hold the , or key and then enter the dimensions that the angle. Take note that , and keys automatically create a bracket automatically for you to open a bracket for. If you're only calculating the sine, cosine , or tangents of an angle simply tap after entering the angle and there is absolutely no requirement to shut the bracket. If you are using the ratios as part of an overall calculation, you'll need that you must close the bracket (by press ) prior to entering the other part of the calculation.

Certain older models of calculator require that the angle be entered first, then before the , or button.

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

Calculate the worth of each of the following with your calculator and then provide your answers accurate to 3 significant figures.

Find the answer

You will notice from the answer to part (3) in that calculator displays the ratios of certain angles as fractions including surds if needed, but not in decimal form.

The decimal number can be found using or .

8 Identifying angles from trigonometric ratios

Inverse trigonometric values are found by using the second function as well as of the keys and of the. These functions work in a similar manner to , and .

Activity 17 Finding angles from trigonometric ratios

Calculate the value of each of the following expressions using your calculator, where possible and then give your answers up to one decimal.

Find the answer

In the first part (1) in the lesson above, you utilized your calculator to determine angles whose sine is 0.5. This is not the only angle with a sine of 0.5, but you can apply this angle to discover the other angles. Similar observations apply to parts (2) of (3).

9 Radians on your calculator

Your calculator can be set to calculate trigonometric functions by using the radian measure of angles, instead of degrees, by making use of this key sequence (SETUP) (Rad).

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

Activity 18 Radians on your calculator

In this lesson the angles are measured in Radians. Determine the value of the following formulas, giving your answers correct to three significant figures.

The answer is revealed

Notice from the final example in this activity that the answer given is simple (possibly fractional) multiple of , the answer is shown in terms of instead of a decimal number.

10-Logarithms using your calculator

Logarithms to base 10 of numbers can be determined using the key. In this case, the logarithm can be calculated by using keysequences . It is important to note that, like the trigonometric functions that the key will automatically open a bracket that needs to be closed if using the logarithm calculated as part of a larger calculation.