The value of which equals 0. This value can then be used to find the final result using M , which gives 0. Expressions can also be stored in, added to or subtracted from the memory at the same time as they are evaluated by replacing the at the end of a calculation with one of the memory access sequences. For example, to calculate and store the result straight into the memory, use the key sequence STO M. Each memory name is printed in red above the key used to access it. If the result of a calculation is a number greater than or equal to i.
For example, calculating gives the answer. Small numbers are also automatically displayed using scientific notation. However, how small the number needs to be for this to happen depends on the mode the calculator is working in:. In Activity 1 you will have already set your calculator to use Norm 2 mode, and we suggest that for the moment you continue to use this. You can also set the calculator to always display results using scientific notation with a set number of significant figures using the key sequence SETUP Sci followed by the number of significant figures required, for example.
When your calculator is set in this fashion, the display indicator SCI is displayed at the top of the screen. Numbers expressed in scientific notation can be input directly to the calculator by using the key on the bottom row of keys.
For example, can be entered using the key sequence. Use the scientific notation functions of your calculator to calculate each of the following, giving your answer in both scientific and ordinary forms. In Activity 4 you saw how to use the key to input powers on the calculator. The key can be used with other functions, such as the fraction template , to calculate fractional and negative powers. Calculate each of the following using your calculator, giving your answer correct to 3 significant figures.
Just as there are keys on your calculator for entering powers, roots can also be entered directly. Square roots can be calculated using the key. For example, can be entered using. Cube roots are entered using the second function of this key. For higher roots, such as fourth or fifth roots you need to use the more general template, which is the second function of the key. This template is filled in by using the number and arrow keys and in a way similar to that used when the fraction template is completed.
You will notice from the result of Activity 15, part 4 that the calculator sometimes presents answers using surds.
To find the decimal equivalent of an answer like this, you can use the or keys that you used earlier to find the decimal forms of fractional answers. Sometimes when entering into your calculator an expression involving roots, you may accidentally forget to press the appropriate function key.
However, moving the cursor to the correct point and pressing the missing key, as in section 1, will not work as this simply inserts an empty template. If you wish to edit an expression to insert a missing root, first move the cursor to the correct place — that is, to the left of the number. There are various different units in which an angle can be measured, degrees being one of the possibilities. Before using your calculator to find the values of the trigonometric ratios of angles measured in degrees, you need to ensure that it is set to use the correct units.
Always check that your calculator is using the correct system of angle measurement before using trigonometric ratios.
Your calculator is set to use degrees if the display indicator is shown at the top of the screen. If you see the indicator or , then your calculator is set to use different units for measuring angles. To calculate the sine, cosine or tangent of an angle, press the , or key and then type in the size of the angle. Note that the , and keys automatically open a bracket for you. If you are simply calculating the sine, cosine or tangent of an angle, just press after entering the angle — there is no need to close the bracket.
If you are using these ratios as part of a larger calculation, then you will need to remember to close the bracket yourself by pressing before entering the remainder of the calculation. Some older models of calculator require the angle to be input first, followed by the , or button. Calculate the value of each of the following using your calculator, giving your answers correct to 3 significant figures. If you obtained the answer 0. Note that when entering this expression in your calculator, it is possible to omit explicitly entering the multiplication between the 2 and since the calculator will assume it.
Note that means first find the sine of , then square the answer. The key sequence to enter into the calculator is thus. The first is necessary to close the bracket automatically opened when pressing , and the second closes the bracket opened at the start of the sequence.
Since the calculator evaluates the sine as soon as it encounters the first closing bracket, it is possible to enter this expression using the alternative sequence , but this is not recommended as the former is more clear. It is a property of trigonometric ratios that for any angle ,. You will notice from the answer to part 3 that the calculator displays the ratios of some angles as fractions, involving surds where needed, and not in decimal form.
The decimal form can be found using or. Inverse trigonometric values can be found using the second functions , and of the , and keys. These functions are used in a similar manner to , and. Calculate the value of each of the following expressions using your calculator, where possible, giving your answers correct to 1 decimal place. If you obtained the answer or 0. Make sure that you are working in degrees.
In part 1 of the activity above, you used your calculator to find an angle whose sine is 0. This is not the only angle whose sine is 0. Similar remarks apply to parts 2 and 3. Your calculator can be set to calculate trigonometric functions using the radian measure for angles, instead of degrees, by using the key sequence SETUP Rad.
When in this mode, the display indicator is shown. In this activity, the angles are measured in radians. Find the values of the following expressions, giving your answers correct to 3 significant figures.
Remember: can be input to the calculator using. Notice from the final example in this activity that where an answer is a simple possibly fractional multiple of , the answer is displayed in terms of rather than as a decimal number.
Logarithms to base 10 of numbers can be found using the key. For example, can be calculated using the key sequence. Note that as with the trigonometric functions, the key automatically opens a bracket that must be closed if you are using the calculated logarithm as part of a longer calculation. The second function of the key , accessed using , can be used as an alternative to when calculating powers of All the calculations are logarithms to base 10, so we use the key.
Natural logarithms, for example , can be evaluated on your calculator using the key. The second function of this key permits the calculation of powers of. Note that an approximate value for itself can be obtained using the key sequence. Remember that means the same as ln. Some calculators have a key instead of. Calculate the value of each of the following using your calculator, giving each answer to 3 significant figures.
Notice that this is about three times the answer to part 2. In fact, the exact value of is precisely three times the exact value of. This is because , and for any base of logarithm,. Of the Manchester United supporters, people are wearing hats. How many people are not wearing hats?
Solving money problems In Year 4, children need to get used to calculating with amounts of money. You would enter: 4 x 3. Equally they would need to remember that they must either deal in pounds or pence when calculating with a calculator and not mix the two within a calculation. Year 6 calculator problems An example Year 6 problem might be: John does a sponsored walk. His uncle says he will give him 80p for every mile he walks. How many miles did he walk? Children would need to realise that they either need to convert the pence to pounds 80 to 0.
Today's scientific calculators, for example, can perform incredibly advanced mathematical calculations. Like all other electronic devices, calculators work by processing information in binary form. We're used to thinking of numbers in our normal base-ten system, in which there are ten digits to work with: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The binary number system is a base-two system, which means there are only two digits to work with: 0 and 1. Thus, when you input numbers into a calculator , the integrated circuit converts those numbers to binary strings of 0s and 1s.
The integrated circuits then use those strings of 0s and 1s to turn transistors on and off with electricity to perform the desired calculations. Once a calculation has been completed, the answer in binary form is then converted back to our normal base-ten system and displayed on the calculator 's display screen.
Most calculator displays use inexpensive technologies common today, such as liquid crystal displays LCD or light-emitting diodes LED. We hope today's Wonder of the Day really added up to some fun! Keep the fun going when you check out the following activities with a friend or family member:. Graphing Calculator. We try to source videos that are a second way to access the information in the WONDER, but we aren't always successful. We're sorry you feel that way, sophia.
We thought the second half of the article explained things pretty well. If you have more questions or want to go more in-depth regarding how calculators work, we suggest taking a Wonder Journey! Open your favorite web browser and do an Internet search--or go to your local library!
Thanks for this information, Mr. It sounds like you know this topic well!! Our Wonders introduce many topics such as this one, but we always encourage our Wonder Friends to learn more about topics they find particularly interesting.
It would be helpful, Oliver! But, we also have to know how to do the math without the calculator! Thanks for joining the discussion, Jaquan Dupree! We encourage you to research more about the calculator and how it works!
We're glad to hear that. Don't forget to cite your sources for your project. The official Wonderopolis Permissions Policy states: Wonderopolis materials may be cited or excerpted in periodicals, books, and educational materials under the following stipulations: 1. A URL of the material referenced is provided so that readers may access it online 2.
Good luck on your project! Good morning, Mrs. Can you imagine a 33 lb calculator? Now, we can carry them in our pockets and even have them on cell phones.
We agree, Kiley Cummings! Have you checked out Wonder What Is a Narwhal? Welcome, mady! Thanks, matthew! We are glad you liked it! Welcome, Mrs. Thus, when you input numbers into a calculator, the integrated circuit converts those numbers to binary strings of 0s and 1s.
Hi, Hunter! The inside of a calculator is very complex and the technology is fascinating. Plus, they help us compute lots of things. Sometimes we think we may take them for granted. This is excatually like the computer. They continue to pave the way forward in the world of electronics. How is this for influential? You can rely on this brand for budget-friendly pocket calculators. Many calculators work via electronic circuit boards and utilize data processing.
For that reason, there are some who believe that a calculator should be considered a computer. Back when you were a silly kid, you might have typed numbers on your computer and flipped it upside down.
The idea was to spell out a word on the display screen, usually something inappropriate that would elicit giggles from your classmates. You can still have fun with your calculator! Here are 10 words that you can spell out with the numbers:. This might not make a difference when your doctor writes a prescription, but it could at least make for a few laughs!
This one is a classic! Everyone can then hold it up during a Zoom meeting, and share a personal reason why they think their boss is special. Does your spouse like to sleep in a cold room at night? Leave this message on their bedside table as a joke!
Single and looking to mingle? We can all use a laugh from time to time! You can use it as inspiration to try something new in the coming year! Are you a teacher looking for new activities in your classroom? Hand out a worksheet with numerical answers that can be flipped to create words. The students can then use the words to write their own sentences. The human brain is incredible, but it can only accomplish so much when it comes to estimates and numerical answers.
Calculators have changed our lives by making math quicker and easier than ever before. We will always have the calculator to thank for advancing us forward in the fields of finance, engineering, science, art, construction, and education. Time will tell how this technology changes in the future! Buy the right calculator for your needs and get to problem solving! Online Etymology Dictionary.
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