SCIENTIFIC CALCULATOR

5.1 Inputing numbers in scientific notation to your calculator

In scientific notation, numbers can be input directly to the calculatorby using the key that is located at the lower row of keys. For instance, they is possible to enter the key sequence .

13. Activity Calculatingwith annotations from science

Use the scientific notation features in your calculator to determine each of the following and then provide your answer in both standard and scientific forms.

Answer the question

6 Powers and surds to your calculator

Inputing fractional and negative powers

Within Activity 4 you saw how to utilize keys to input power. key for input power values on the calculator. The key can be utilized alongside other functions, such like the fraction templates to calculate the fractional and negative power.

Activity 14 Calculating more power

Answer the following questions using your calculator Answer right to 3 significant numbers.

Answer the question

6.1 Applying roots to your calculator

As there are some keys in the calculator to enter the power root can also easily be inputted directly. The square root can also be determined using key keys. For instance, can be entered by using . Cube roots can be entered using the second function of this key. For deeper roots, like fourth and fifth roots, it is necessary to utilize the more generic template that is the second purpose to the key. This template is filled in using the arrow and number key ( and ) in a way similar to that used when the fraction template is finished.

Activity 15 Calculating roots

Calculate each of these using your calculator Give your answer in 3 figures.

Reveal answer

As you can see from the outcome of Activity 15, part 4 that the calculator occasionally provides answers using surds.

This can only be done if the calculator is in the preferred Math mode.

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

6.2 Inserting a root with a defect

When entering into your calculator the formula that requires roots, you may miss pressing the appropriate function key. However, moving your cursor to the appropriate point and pressing the missing key like in section 1 it won't be able to help since this is simply inserting blank template.

If you want to modify an expression to add the missing root, first move the cursor in the right position - that is, just to the left side of the number. Then activate the 'Insert' feature when you press (INS) and then pressing the root key that is appropriate.

7 Trigonometric ratios that you can calculate on your calculator

There are several different angles that can be measured, with degrees being one of them. Before you use your calculator to find the values of trigonometric proportions of angles measured in degrees you should make sure the calculator is set to use the correct units.

Always ensure that your calculator is using the correct method of measurement of angles prior to using trigonometric ratios.

The calculator is set to use degrees if the indicator for display appears above the main screen. If you see this indicator and/or , then it means that your calculator uses different measurement units when measuring angles.Figure 9 The setting of degrees

To adjust the calculator into working with degrees use keys (SETUP) (Deg).

To determine the sine, cosine or tangent of an angle press on the , or key and then type in the size that the angle. Note that the , and keys automatically open the bracket for you to open a bracket for. If you're just calculating the sine, cosine or the tangent of an angle, just click after to enter the angle and there is not a need for closing the bracket. If you are using these ratios to aid in an overall calculation, it is important to remember to close the bracket on your own (by press ) prior to entering any other calculations.

The older versions of calculator need the angle to be input first. It is then and then the , or button.

Worksheet 16 Trigonometric proportions calculator

Determine the value of each of the following by using your calculator Answer the questions right to 3 significant numbers.

Get the answer

If you look at the response to part (3) in that calculator shows the ratios of certain angles in fractions, that include surds as needed but not in decimal form.

The decimal form can be obtained by using or .

8 Finding angles from trigonometric ratios

The inverse trigonometric coefficients are found by using the second function and of the, and keys. These functions are used in a similar manner to , and .

Activity 17 Identifying angles using trigonometric ratios

Calculate the value of each of these expressions using your calculator When you can providing your answers up to one decimal.

Find the answer

In part (1) in the activity above, you used your calculator to identify an angle with a sine value of 0.5. This is not the only angle whose sine is 0.5 which is why you could apply this angle to discover other angles. Similar points apply to the parts (2) as well (3).

9 Radians in your calculator

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

When in this mode, the display indicator is displayed.

Activity 18 Radians on your calculator

In this assignment, the angles are measured in Radians. Find the values of the following expressions, giving your answers correct to 3 significant figures.

Reveal answer

In the final illustration in this activity in the case of simple (possibly fractional) multiple of the answer is shown in terms of rather than as an decimal number.

Ten Logarithms in your calculator

Logarithms that are based on base 10 numbers can be determined with the help of the key. As an example, they can be calculated by using this key sequence . Be aware that, as with trigonometric functions in the above example, the key opens an automatic bracket that has to be closed when using the logarithm you calculated as part of a longer calculation.

The second function of the key , accessible through the keyboard, can be utilized as an alternative to when calculating powers of 10.

18 Calculating logarithms

Make use of your calculator to find the sums of the following.

, , (1 billion) ,