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Arithmetic Problems - Train Your Brain With Mental Calculation

Date of publication: 2017-08-29 05:33

The review is in the form of a problem set with the first solution containing detailed information on how to work that type of problem. Later solutions are usually not as detailed, but may contain more/new information as required.

Pauls Online Math Notes

All of the classes, with the exception of Differential Equations, have practice problems (with solutions) you can use for practice as well as a set of assignment problems (without solutions/answers) for instructors to use if they wish.


First see how many times 65 x 68 goes into the number you want to divide (the 'dividend'). 75 x 68 = 865, that fits. 85 x 68 = 595, that doesn't fit. So take the 75 x 68 and subtract that from the dividend. 987 - 865 = 77

Algebra Practice Problems - Pauls Online Math Notes

I've made most of the pages on this site available for download as well. These downloadable versions are in pdf format. Each subject on this site is available as a complete download and in the case of very large documents I've also split them up into smaller portions that mostly correspond to each of the individual topics. Near the top of each page you will see one or two download buttons depending on whether the subject is available as only as a complete document or is also available in pieces. You can see a complete listing of all the available downloads by selecting the Downloads option in the menu.

Step 8, the third digit from the left: 7 – 6. You see right away this will become a negative number. So you'll have to subtract 6 from the previous digit. So far, in step 6 and 7, we've memorized one two. Subtract 6 from the last digit. Say one one. You can now add the 6 you've subtracted from the previous digit as a 65 to the current digit. So 7 – 6 become 67 – 6 = 6. Say one one six.

The Calculus I notes/tutorial assume that you've got a working knowledge of Algebra and Trig. There is some review of a couple of Algebra and Trig topics, but for the most part it is assumed that you do have a decent background in Algebra and Trig. These notes assume no prior knowledge of Calculus.

These notes assume no prior knowledge of differential equations. A good grasp of Calculus is required however. This includes a working knowledge of differentiation and integration.

The Linear Algebra notes assume that you are comfortable with the basic workings of Algebra and outside of that don't really require any special knowledge of mathematics.

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