SCIENTIFIC CALCULATOR

5.1 Inputting numbers in scientific notation to your calculator

Numbers written in scientific notation can be entered directly into the calculator by selecting the key on the right side of the keyboard. For instance, numbers could be entered by using keys .

13. Activity Calculating with Scientific notation

Utilize the functions of scientific notation in your calculator to determine the number of these answering questions in both standard and scientific formats.

Get the answer

6 Powers and Surds on your calculator

Inputting fractional and negative powers

As part of Activity 4 you saw how to utilize keys to input power. key key to calculate power values in the calculator. The key is able to be used with other functions, such in the form of the Fraction Template for calculating positive and negative power in fractions.

13 Activity Calculating more powers

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

The answer is revealed

6.1 Utilizing the roots of the calculator

Similar to the keypads on the calculator to enter power the roots can been entered in a direct manner. It is possible to calculate square roots using the button. For example, can be entered using . Cube root entries are made using the second function of the key. For higher roots, like fifth or fourth roots you need to employ the more general template which is the other function to the keys. The template can be filled out by using the arrow and number key ( and ) using a method similar to the method used when a fraction template is finished.

15. Activity Calculating roots

Calculate each of the following using your calculator, giving your answer in 3 figures.

Reveal answer

It is evident from the outcome of Activity 15 part 4. 4 that the calculator frequently provides answers using surds.

This is only the case if the calculator is operating in the preferred Math mode.

To find the decimal equivalent to an answer similar to this, you can make use of the or keys that you have used previously to identify the decimal equivalents of fractional answers.

6.2 Inserting a missing root

When entering into your calculator an equation that involves roots, you might fail to press the proper function key. However, moving your cursor over the correct spot and pressing the key that is not there like in section 1 it won't be able to help since this simply inserts an inactive template.

If you want to modify an expression in order to insert an unintentional root, you must first shift the cursor to the correct position, that is in the direction to the left. Then , you can activate the "Insert" feature using the key (INS), and finally press the root key that is appropriate.

7 Trigonometric ratios on your calculator

There are many different angles that can be measured, with degrees being one of the possibilities. Before you use your calculator to determine the value of trigonometric ratios for angles measured in degrees it is important to make sure that it's set to utilize the right units.

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

The calculator will use the degree if the indicator for display appears above the main screen. If you notice that indicator as well , then you're calculator is set to use different units when measuring angles.Figure 9 shows the degrees setting

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

To determine the sine cosine or tangent of an angle press the , or key and then type in the size of the angle. Make sure that , and keys automatically open the bracket for you to open a bracket for. If you're merely calculating the sine, cosine , or the tangent for an angle, just tap after you have entered the angle, there is no need to close the bracket. If you are using the ratios as part of the calculation of a larger number, it is important to remember to close the bracket (by pressing ) before you enter your calculation.

Certain older models calculator require that the angle be input first. This is followed by the , or button.

Activities 16: Trigonometric Ratios using your calculator

Determine the value of each of these using your calculator Answer the questions correct to 3 significant figures.

Reveal answer

You will notice from the answer to part (3) it is that the calculator shows the ratios of certain angles as fractions which may include surds, but not in decimal form.

The decimal form can be obtained by using either .

8 Identifying angles using trigonometric ratios

The inverse trigonometric coefficients can be discovered using the second function , and of the keys, and. These functions are used in a similar way to , and .

Activity 17 Finding angles from trigonometric ratios

Calculate the value of each of the following equations using your calculator, where possible making sure that your answers are correct within 1 decimal.

Reveal answer

In the first part (1) of the lesson above, you utilized your calculator to determine an angle with a sine of 0.5. This isn't the only angle whose sine is 0.5 and you can apply this angle to discover other angles. Similar statements apply to sections (2) (3) and (3).

9 Radians in your calculator

Your calculator is able to calculate trigonometric operations using the radian measure for angles instead of degrees, by using keys (SETUP) (Rad).

In this mode, the display indicator is shown.

Activity 18 Radians in your calculator

In this assignment you will be measuring angles in Radians. Determine the value of the following formulas by completing your responses to three significant figures.

Get the answer

Look over the last example in this activity that when an answer is a simple (possibly fractional) multiple of the answer is presented in terms instead of decimal numbers.

Ten Logarithms in your calculator

Logarithms to base 10 of numbers can be determined with the help of key key. For example, can be calculated by using the key sequence . Note that as with the trigonometric functions in the above example, the key instantly opens a bracket that has to be closed if you are using the logarithm you calculated as part of a larger calculation.

The second purpose of the key that can be accessed using , can be used to substitute for computing powers of 10.

18 Calculating logarithms

Make use of your calculator to find the values for the next.

, , (1 billion) ,