calculator

5.1 Entering numbers using scientific notation to your calculator

The numbers in scientific notation can be input directly to the calculatorby with the key in the row below. In this case, for example, it can be entered using your keystroke .

13, Activity Calculatingwith scientific notation

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

Find the answer

6 Powers, surds and power on your calculator

Inputing negative and fractional powers and fractional power

It was in Activity 4 you saw how you can utilize keys to input power. key in order to enter the power in the calculator. The key is able to be used with other functions, such in the form of the Fraction Template for calculating fractional and negative powers.

13 Activity Calculating more power

Find the appropriate answer for each of the questions below using your calculator Then, you must give your answer right to 3 significant numbers.

The answer is revealed

6.1 Calculate the roots using your calculator

Just as there are buttons on your calculator to enter powers and roots, they can also easily be inputted directly. Square roots can be calculated using keys. For example, the keyboard. For instance, can be entered using . Cube roots are entered with the second function of this key. To enter higher roots like fourth or fifth roots you need to make use of the more general template which is the other function for the key. The template can be filled out by using the number and arrow keys ( and ) using a method similar to the way used when the fraction template is filled in.

Exercise 15 Calculating roots

Calculate each of these using your calculator and then give your answer in 3 figures.

Reveal answer

As you can see from the result of Activity 15 Part 4. 4 that the calculator sometimes presents answers using surds.

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

To find the decimal equivalent of a question like this, you could use these or keys that you've previously used to determine the decimal equivalents for fractional solutions.

6.2 Inserting a root that is missing

When entering into your calculator an equation that involves roots, you could not press the correct function key. However, moving the cursor over the correct spot and pressing the missing key similar to the one in section 1 it won't be able to help since this is simply inserting blank template.

If you'd like edit an expression in order to insert the missing root, first shift the cursor to the proper position, which is to the left of the number. Then activate the 'Insert' functionality when you press (INS) after which press the root key that is appropriate.

7 Trigonometric proportions to your calculator

There are numerous different types of units that an angle can be measured. Degrees being just one of them. Before you can use your calculator to find the values of the trigonometric ratios of angles measured in degrees you must ensure that it is configured to use the correct units.

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

It is likely that your calculator will use the degree if the display indicator is above the main screen. If you notice this indicator and/or it is, then it means that your calculator will use different unit for measuring angles.Figure 9 The degree setting

To set your calculator to operate in degree, make use of to enter the sequence (SETUP) (Deg).

To determine the sine, cosine or tangent of an angle press to use the , or key and then type in the size that the angle. Note that the , 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 press after entering the angle - there's no need to close the bracket. If you are using these ratios as part of the larger calculation, you'll need to close the bracket by yourself (by pressing ) before you enter your calculation.

The older versions of calculator need the angle to be entered first, after which comes the , or button.

Activities 16: Trigonometric Ratios using your calculator

Find the value for each of the following by using your calculator by giving your responses in order to three significant figures.

The answer is revealed

In the response to part (3) in that calculator will display the ratios of some angles as fractions, involving surds where needed, and not in decimal form.

The decimal number can be found using and .

8 Finding angles from trigonometric ratios

Inverse trigonometric results can be discovered using the second and third functions, as well as of the keys, and. These functions function in a similar manner to , and .

Activity 17 Identifying angles from trigonometric ratios

Find the value for each of the following expressions using your calculator, where possible and then give your answers to 1 decimal.

Get the answer

In part (1) of the lesson above, you used your calculator to find angles whose sine is 0.5. It's not the sole angle whose sine is 0.5 However, you can use this angle to find the other angles. Similar remarks apply to parts (2) and (3).

9 Radians on your calculator

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

In this mode the indicator for display is shown.

Activity 18 Radians in your calculator

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

The answer is revealed

Take note of the last instance in this exercise that where the answer is a simple (possibly fractional) multiple of the answer, it is displayed in terms of rather than as decimal numbers.

10 , Logarithms, on your calculator

Logarithms to base 10 numbers can be calculated using keys. key. As an example, they can be determined using keysequences . Be aware that, as with trigonometric functions, the key is able to open a bracket that has to be closed when using the logarithm you calculated as part of a longer calculation.

The second use of the key , accessed by pressing the key , can be used in lieu of calculating powers of 10.

Activities 19 Calculating logarithms

Make use of your calculator to determine the value that follow.

, , (1 billion) ,


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