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 the calculator by using the key at the left side of the keys. For instance, numbers can be entered using this key-sequence .

The activity 13 Calculating with annotations from science

Use the scientific notation functions that are built into your calculator to calculate the following and then provide your answer in both normal and scientific forms.

Find the answer

6 Powers and surds for your calculator

Inputing fractional and negative powers

Within Activity 4 you saw how to use keys to input power. key to input power values on the calculator. The key can be utilized in conjunction with other functions, such for the template of fractions for calculating negative and fractional power.

Activities 14 Calculating more powers

Calculate each of the following using your calculator, giving your answer correctly to three significant figures.

Reveal answer

6.1 Calculate the roots using the calculator

As there are keys on your calculator to enter powers the roots can been entered in a direct manner. You can calculate the square root by using keys. For example, the number key. For example, can be entered using . Cube roots can be entered by using the second function of this key. To enter higher roots for example, fourth or fifth roots, you should utilize the more generic template that is the second function of the key. The template is filled in by using the number and arrow keys ( and ) in a way similar to that used when the fraction template has been completed.

Activities 15 Calculating roots

Find the appropriate answer for each of the questions below using your calculator and then give your answer right to 3 significant numbers.

Get the answer

It is evident from the result of Activity 15, part 4. 4 that the calculator will sometimes provide answers with surds.

This is only the case this is true if the calculator is operating in the recommended Math mode.

To determine the decimal equivalent to an answer similar to this, you can make use of your or keys that you've previously used to identify decimal versions in fractional responses.

6.2 Inserting a root missing

Sometimes , when entering into your calculator the formula that requires roots, you could overlook pressing the correct function key. However, moving the cursor to the right place and pressing the wrong key similar to the one in section 1 does not work, as it will simply create an empty template.

If you'd like to alter an expression to add an incorrect root, first shift the cursor to the proper position, which is, just to the left side of the number. Then activate the 'Insert' functionality with the press of (INS) followed by pressing the root key that is appropriate.

7 trigonometric ratios you can find on your calculator

There are numerous different units in which an angle is measured, with degrees being one of the possibilities. Before you use your calculator to determine the values of trigonometric proportions of angles measured in degrees, you should make sure it is set to use the right units.

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

It is likely that your calculator can be set to utilize degrees if the indicator for display is displayed in the center of the display. If you see an indicator as well you see the display, then there is a possibility that the calculator can be set to employ different degrees when measuring angles.Figure 9 shows the degree setting

To make the calculator to operate in degree, follow keys (SETUP) (Deg).

To calculate the sine cosine, tangent, or sine of an angle press or hold the , or key and then input the dimension of your angle. It is important to note that , and keys will automatically open the bracket for you. If you are simply calculating the cosine, sine or the tangent for an angle, simply hit the keys after entering the angle. There is no need to close the bracket. If you are using these ratios as part larger calculations, then it is important to remember to close the bracket on your own (by pressing ) before entering any other calculations.

Certain older models of calculator need the angle to be input first, and then the , or button.

The activity 16 is Trigonometric Rapports. You can find them on your calculator

Determine the value of each of the following using your calculator Give your answers in order to three significant figures.

Answer the question

You'll notice from the explanation to section (3) it is that the calculator will display the ratios of certain angles in fractions, that include surds as needed instead of in decimal form.

The decimal form can be found using the .

8 Identifying angles using trigonometric ratios

The inverse trigonometric coefficients are found by using the second and third functions, as well as of the , and keys. These functions are utilized in a similar manner to , and .

Activity 17 Finding angles from trigonometric ratios

Calculate the value of each of the following equations using your calculator whenever possible providing your answers up to one decimal.

Reveal answer

In part (1) of the exercise above, you utilized your calculator to find an angle whose sine is 0.5. It's not the only angle whose sine is 0.5, but you can apply this angle to discover the 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 functions by using the radian measure to calculate angles instead of degrees, making use of this key sequence (SETUP) (Rad).

When this mode is on, the indicator on the display is shown.

Activity 18 Radians on your calculator

In this activity, the angles are measured in Radians. Find the values of the following equations and then provide your answers to 3 significant figures.

Reveal answer

In the final example that where an answer is 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 of numbers can be determined using keys. key. In this case, the logarithm can be determined using this key sequence . Note that as with the trigonometric functions, the key automatically opens a bracket that must be closed when using the logarithm you calculated as part of a bigger calculation.

The second function of the key , accessed by pressing the key , can be used as an alternative to when doing calculations on powers of 10.

19. Activity Calculating logarithms

Make use of your calculator to find the sums in the below.

, , (1 billion) ,