I need help pwith my pre algebra quesion and im having a struggle finding it out! Thanks :D
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

There are different ways of representing numbers, especially decimal numbers. 3.15×10⁻⁵ is just another way of representing the decimal fraction 0.0000315. Writing a number as a decimal multiplied by a power of 10 is called scientific notation, and it can also be written 3.15e-5 or 3.15E-5. The idea of this notation is to reduce the amount of writing. Numbers of a large magnitude are cumbersome to write and so are numbers of very small magnitude. And it’s easy to make a mistake when writing lots of zeroes in a number, so, to be safe and accurate the “times ten to the power of” notation is used. 0.1 could be written 1×10⁻¹, but that makes it look worse; but 0.000000001 could be written 1×10⁻⁹, 1.0×10⁻⁹ or 1E-9, which definitely is easier to write, because it would be easy to write the wrong number of zeroes if it’s just written as a decimal fraction.

So, when you see 3.15×10⁻⁵ or something similar, you will know that it is not a sum to be worked out, but it’s just a way of writing a number. There are great advantages to this scientific notation when you divide or multiply numbers written like this, because, as you will see in your lessons, the powers can be added together or subtracted from one another, and that makes the arithmetic easier.

I hope this answer helps you understand.

 

by Top Rated User (599k points)

Related questions

1 answer
asked Oct 24, 2017 in Pre-Algebra Answers by anonymous | 51 views
1 answer
asked Jul 10, 2017 in Fraction Problems by anonymous | 49 views
1 answer
asked May 11, 2016 in Algebra 1 Answers by anonymous | 86 views
1 answer
asked Sep 10, 2013 in Pre-Algebra Answers by Katie | 72 views
3 answers
1 answer
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,963 questions
86,359 answers
2,239 comments
71,760 users