SCIENTIFIC CALCULATOR

5.1 Inputting numbers in scientific notation to your calculator

The numbers in scientific notation can be entered directly into calculators directly calculatorby making use of the key at the row below. For example, is possible to enter this key-sequence .

13. Activity Calculatingwith Scientific notation

Utilize the functions for scientific notation of your calculator to determine each of the following answers, and provide the answer in both scientific and ordinary forms.

The answer is revealed

6 Powers and surds on your calculator

Entering fractional and negative power

The key was introduced in Activity 4 you saw how you could make use of the key for input power values in the calculator. The key can be combined in conjunction with other functions, such using the fraction template , to calculate fractional and negative powers.

13 Activity Calculating more powers

Answer the following questions using your calculator Answer correctly to three significant figures.

Find the answer

6.1 Using roots on your calculator

Similar to the some keys in the calculator to enter the power, roots can also been entered in a direct manner. You can calculate the square root using an keys. For instance, can be entered by using . Cube roots are entered using the second function of this key. If you want to enter higher roots, for example, fourth or fifth roots, you have to use the more general template that's the second function of the keys. The template is filled in using the number and arrow keys ( and ) in a manner similar as when the fraction template is completed.

Activity 15 Calculating roots

Calculate each of these using your calculator Then, you must give your answer accurate to 3 significant figures.

Reveal answer

You can see from the result of Activity 15 part 4, that the calculator sometimes presents answers using surds.

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

To determine the decimal equivalent of an answer like this, you can utilize orkeys. These are the same or keys that you've previously used to identify the decimal equivalents for fractional solutions.

6.2 Inserting a root missing

Sometimes when entering into your calculator an expression involving roots, it is possible to fail to press the proper function key. However, moving the cursor over the correct spot and pressing the key that is not there such as in section 1 is not going to work since this is simply inserting the template in an unfilled position.

If you'd like to alter an expression to insert the missing root, first move your cursor to the proper position, which is to the left of the number. Next, activate the "Insert' feature by pressing (INS) followed by pressing the appropriate root key.

7 Trigonometric ratios that you can calculate on your calculator

There are many different angles that can be measured. Degrees being one of the possibilities. Before using your calculator to determine the value of trigonometric proportions of angles measured in degrees it is important to make sure that you have set it to use the appropriate units.

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

The calculator will use the degree if the indicator for display is shown above the main screen. If you see the display indicator in the upper right hand corner you see the display, then it means that your calculator will use different unit when measuring angles.Figure 9 The degree setting

To set your calculator into working with degrees, you must use your keystroke (SETUP) (Deg).

To calculate the sine cosine, tangent, or sine of an angle, use to use the , or key and then enter the dimensions of the angle. Be aware that , and keys will automatically open a bracket for you. If you're merely calculating the cosine, sine or tangent of an angle just enter the numbers after to enter the angle - there's no need to close the bracket. If you are using these ratios as part of larger calculations, then you'll have to remember to close the bracket (by press ) before you enter the remainder of the calculation.

Certain older models of calculator require the angle to be input first, followed by the , or button.

Worksheet 16 Trigonometric proportions calculator

Calculate the value of each of the following using your calculator and then provide your answers correct to 3 significant figures.

Find the answer

In the answers to the question (3) you will notice that this calculator will display the ratios of some angles as fractions, with surds when needed, and not in decimal form.

The decimal form can be found using the .

8 Finding angles from trigonometric ratios

The inverse trigonometric coefficients are found by using the second and third functions, as well as of the , and keys. These functions work in the same way as , and .

Activity 17 Identifying angles using trigonometric ratios

Calculate the value of each of the following expressions using your calculator whenever possible making sure that your answers are correct to 1 decimal.

Answer the question

In part (1) in this work above, you used your calculator to identify an angle with a sine of 0.5. It's not the sole angle whose sine is 0.5 However, you can use this angle in order to determine the other angles. Similar points apply to the parts (2) of (3).

9 Radians in your calculator

Your calculator can be programmed to calculate trigonometric functions using the radian measure to calculate angles, instead of degrees, by using keys (SETUP) (Rad).

In this mode the indicator for display will be displayed.

Activity 18 Radians in your calculator

In this lesson, the angles are measured in Radians. Find the values of the following equations by completing your responses to three significant figures.

The answer is revealed

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

10-Logarithms using your calculator

Logarithms for base 10 numbers can be determined with the help of the key. For example, can be calculated by using keysequences . Note that as with the trigonometric functions, the key is able to open a bracket that has to be closed if using the calculated logarithm as part of a longer calculation.

The function 2 of the key by pressing the key , can be used to substitute for doing calculations on powers of 10.

19. Activity Calculating logarithms

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

, , (1 billion) ,