SCIENTIFIC CALCULATOR

5.1 Entering numbers using scientific notation to your calculator

The numbers expressed in scientific notation are able to be entered directly into calculators directly calculator by by pressing the key in the row below. For instance, the key you can enter numbers using the key sequence .

13. Activity Calculating with the scientificnotation

Utilize the functions for scientific notation in your calculator to calculate the following answers, and provide the answer in both standard and scientific forms.

The answer is revealed

6 Powers, surds and power on the calculator. calculator

Inputing negative and fractional powers and fractional power

As part of Activity 4 you saw how you could make use of key key as a way to add powers using the calculator. The key is able to be used along with other functions, for instance, using the fraction template , to calculate fractional and negative powers.

14. Activity Calculating more power

Calculate each of these using your calculator Answer correct to 3 significant figures.

Answer the question

6.1 Using roots on the calculator

As there are keypads on the calculator to enter the power, roots can also enter directly. The square root can also be determined using key key. For example, can be entered by using . Cube root entries are made using the secondary function of this key. For deeper roots, like fourth and fifth roots you need to utilize the more generic template that is the second function that is the second function of this keys. The template can be filled out by using the arrow and number keys ( and ) in a way similar to the method used when a fraction template is filled in.

Activity 15 Calculating roots

Determine each of the following using your calculator Answer accurate to 3 significant figures.

Find the answer

You will notice from the outcome of Activity 15 Part 4. 4 that the calculator will sometimes provide answers with surds.

This is only true when the calculator is set to the recommended Math mode.

To determine the decimal equivalent of a question like this, you can make use of orkeys. These are the same or keys that you have used previously to find the decimal forms from fractional questions.

6.2 Inserting a root that is missing

Sometimes when entering into your calculator an equation that involves roots, it is possible to fail to press the proper function key. However, moving the cursor to the appropriate point and pressing the wrong key, as in section 1 it won't be able to help since this is simply inserting blank template.

If you wish to edit an expression in order to insert an incorrect root, first move the cursor to the right position - that is, to the left of the number. Then , you can activate the "Insert" feature using the key (INS) and then pressing the appropriate root key.

7 Trigonometric ratios on your calculator

There are various different units by which angles can be measured, with degrees being one of them. Before you can use your calculator to determine the value of trigonometric rations of angles measured in degrees you should make sure the calculator is set to use the appropriate units.

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

This calculator can be set to utilize degrees if the indicator for display is visible above the main screen. If you see an indicator or , then it means that your calculator is set to use different units for measuring angles.Figure 9 shows the degree setting

To make your calculator to work in degrees, follow the key sequence (SETUP) (Deg).

To calculate the sine cosine, tangent, or sine of an angle, simply press or hold the , or key and then input the dimension of your angle. Be aware 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, just hit the keys after entering the angle and there is no need to close the bracket. If you're using these ratios as part the larger calculation, it is important to remember to close the bracket on your own (by pressing ) prior to entering the remainder of the calculation.

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

Worksheet 16 Trigonometric proportions calculator

Calculate the amount of each of the following with your calculator Answer the questions in order to three significant figures.

Answer the question

In the solution to part (3) how the calculator calculates the ratios for certain angles as fractions including surds if needed, and not in decimal form.

The decimal form can be found by using or .

8 Resolving angles from trigonometric ratios

Inverse trigonometric value can be determined using the second function , and of the keys, and. These functions work similarly to , and .

Activity 17 Finding angles from trigonometric ratios

Find the value for the following expressions using your calculator, where possible making sure that your answers are correct to 1 decimal place.

Answer the question

In part (1) of the task above, you used your calculator to identify an angle with a sine value of 0.5. It isn't the only angle whose sine is 0.5 and you can apply this angle to discover other angles. Similar observations apply to parts (2) (3) and (3).

9 Radians in your calculator

Your calculator could be set to calculate trigonometric functions by using the radian measure to calculate angles, not degrees, making use of this key sequence (SETUP) (Rad).

When in this mode, the display indicator is displayed.

Activity 18 Radians in your calculator

In this assignment you will be measuring angles in the radians. Find the values of the following equations in the correct order, and provide your answers to 3 significant figures.

The answer is revealed

Take note of the last example in this activity that the answer given is an easy (possibly fractional) multiple of , the answer is presented in terms of instead of an decimal number.

10-Logarithms using your calculator

Logarithms to base 10 numbers are found by using the key. For instance, it can be calculated using the key sequence . As with trigonometric functions in the above example, the key will automatically open a bracket, which needs to be closed when using the calculated logarithm as a part of a bigger calculation.

The second purpose of the key , accessible by pressing the key , can be used to substitute for formulating powers of 10.

The activity 19 Calculating logarithms

Use your calculator to find the values for the next.

, , (1 billion) ,