SCIENTIFIC CALCULATOR

5.1 Entering numbers in scientific notation to your calculator

Numbers expressed in scientific notation can be input directly to calculators directly calculatorby using the key located on the row below. For example, you can enter numbers using the key sequence .

13, Activity Calculatingwith annotations from scientists

Utilize the functions of scientific notation that are built into your calculator to calculate each of the following answers, and provide the answer in both scientific and ordinary forms.

Find the answer

6 Powers, surds and power on your calculator

Inputing negative and fractional powers and fractional power

In Activity 4 you saw how to use keys to input power. key to input power values on the calculator. The key can be combined alongside other functions, such for the template of fractions for calculating fractional and negative powers.

14, Activity Calculating more power

Calculate each of the following using your calculator Then, you must give your answer in 3 figures.

Reveal answer

6.1 Utilizing the roots of the calculator

Just as there are some keys in the calculator for entering powers the roots can enter directly. The square root can also be determined with key keyboard. For example, can be entered using . Cube roots are entered with the second function of the key. To enter higher roots like fifth or fourth roots, you should make use of the more general template, which is the second purpose in the key. This model is entered by using the arrow and number keys ( and ) in a way similar to how it is used when the fraction template has been completed.

Exercise 15 Calculating roots

Answer the following questions using your calculator Then, you must give your answer correct to 3 significant figures.

The answer is revealed

The outcome of Activity 15 Part 4, that the calculator sometimes presents answers using surds.

This is only the case in the event that the calculator is in the preferred Math mode.

To determine the decimal equivalent of an answer such as this, you can make use of these or keys which you previously used to determine the decimal equivalents in fractional responses.

6.2 Inserting a root missing

Sometimes when entering into your calculator the formula that requires roots, it is possible to miss pressing the appropriate function key. However, moving your cursor to the appropriate point and pressing the missing key, as in section 1 it won't be able to help since this simply inserts an inactive template.

If you'd like to alter an expression in order to insert the missing root, first shift the cursor to the correct position, that is towards the left. Next, activate the "Insert' function with the press of (INS), and finally press the root key that is appropriate.

7 Trigonometric ratios on your calculator

There are various different units by which angles is measured, with degrees being one of them. Before you can use your calculator to determine the values of trigonometric proportions of angles in degrees, you should ensure that the calculator is set to use the appropriate units.

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

Your calculator has been set to work with degrees if the display indicator is shown on the upper right hand corner of your screen. If you notice the indicator in the upper right hand corner that it appears, you're calculator has been set up to utilize different measurements for measuring angles.Figure 9 The setting of degrees

To change the settings of the calculator to work in degrees, you must use keys (SETUP) (Deg).

To determine the sine, cosine or tangent of an angle, press on the , or key and type in the size that the angle. Take note that , and keys will automatically create a bracket automatically for you. If you're simply trying to calculate the sine, cosine or the tangent of an angle, just click after making the calculation, there is nothing to do but close the bracket. If you're using these ratios to aid in a larger calculation, then you'll have to remember to close the bracket (by press ) prior to entering your calculation.

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

Exercise 16 trigonometric numbers on the calculator

Calculate the worth of each of the following with your calculator Give your answers accurate to 3 significant figures.

Answer the question

It is evident from the answer to part (3) you will notice that this calculator calculates the ratios for some angles as fractions, including surds if needed, and not in decimal format.

The decimal form can be obtained by using and .

8 Finding angles from trigonometric ratios

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

Activity 17 Identifying angles from trigonometric ratios

Find the value for each of the following expressions using your calculator If you are able and then give your answers to 1 decimal place.

Answer the question

In the first part (1) in this lesson above, you used your calculator to find an angle whose sine is 0.5. It's not the only angle with a sine of 0.5 and you can make use of this angle to determine the other angles. Similar statements apply to sections (2) as well (3).

9 Radians on your calculator

Your calculator is able to calculate trigonometric function using the measure of radian angles, not degrees, making use of keys (SETUP) (Rad).

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

Activity 18 Radians on your calculator

In this lesson you will be measuring angles in the radians. Find the values of the following expressions with your answers being correct to three significant figures.

Reveal answer

In the final instance in this exercise that when an answer is an easy (possibly fractional) multiple of the answer is presented in terms of instead of an decimal number.

10 . Logarithms 10 on the calculator

Logarithms to base 10 numbers can be determined using keys. key. It is, for instance, calculated by using the sequence of keys . It is important to note that, like the trigonometric functions in the above example, the key will automatically open a bracket which must be closed if using the calculated logarithm as a part of a bigger calculation.

The second purpose of the key through the keyboard, can be utilized in lieu of computing powers of 10.

18 Calculating logarithms

Use your calculator to find the values in the below.

, , (1 billion) ,