<h2>Introduction</h2>
<p>In physics as well as in physical sciences in general, there are many skills that you need to learn. These include working with units, basic mathematics skills and laboratory skills. In this lesson and the next few, we will revise some of these skills that you should know before starting to study physics and science in general.</p>
<div class="wp-caption alignnone" id="attachment_102551" style="width: 800px"><a href="https://data.ulearngo.com/assets/19ae3997-8b7a-4f38-bcab-1473877fd1bd"><img alt="math-skills" class="wp-image-102551 size-full" height="500" src="https://data.ulearngo.com/assets/19ae3997-8b7a-4f38-bcab-1473877fd1bd" width="800"/></a><p class="wp-caption-text">Image credit: Pinterest</p></div>
<h2>Mathematical Skills</h2>
<p class="para">You should be comfortable with scientific notation and how to write scientific notation. You should also be able to easily convert between different units and change the subject of a formula. In addition, concepts such as rate, direct and indirect proportion, fractions and ratios and the use of constants in equations are important.</p>
<p><strong class="title">Rounding Off</strong></p>
<p class="para">Certain numbers may take an infinite amount of paper and ink to write out. Not only is that impossible, but writing numbers out to a high precision (many decimal places) is very inconvenient and rarely gives better answers. For this reason we often estimate the number to a certain number of decimal places.</p>
<p class="para">Rounding off a decimal number to a given number of decimal places is the quickest way to approximate a number. For example, if you wanted to round-off 2.6525272 to three decimal places then you would first count three places after the decimal. Next you mark this point with a \(|\):</p>
<h4 class="para">\(2.652|5272.\)</h4>
<p class="para">All numbers to the right of \(|\) are ignored after you determine whether the number in the third decimal place must be rounded up or rounded down. You <i class="emphasis">round up</i> the final digit (make the digit one more) if the first digit after the \(|\) is greater than or equal to 5 and <i class="emphasis">round down</i> (leave the digit alone) otherwise. So, since the first digit after the \(|\) is a 5, we must round up the digit in the third decimal place to a 3 and the final answer of 2.6525272 rounded to three decimal places is 2.653.</p>
<p class="para">In a calculation that has many steps, it is best to leave the rounding off right until the end. This ensures that your answer is more accurate.</p>

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Mathematical Skills for Science

Physics is a science discipline concerned with the nature and properties of matter and energy. Physics topics include mechanics, heat, light and radiation, sound, electricity, magnetism, the structure of atoms, and so on.

Physics

Explore various scientific concepts and practical skills, including scientific notation, unit conversions, rates, ratios, constants, and the scientific method, as well as laboratory safety procedures and designing models.


Mathematical Skills for Science

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