MYTUTOR SUBJECT ANSWERS

236 views

What is Standard form? And when can I use it?

Standard form, also referred to as standard index form is a method of writing really big and really small numbers. It uses powers of 10 to express its size.

Standard form is used all the time in science and engineering. It allows you to comprehend numbers with extreme sizes such as the diameter of the sun or the diameter of an atom.

A number in standard form is written like this:

A x 10n

Where:

A is a number that is greater than or equal to 1 and less than 10

n is a positive or negative integer. Where n is positive the starting number is greater than one, where the n is negative the starting number is less than one.

Now let’s try converting a number to standard form and from standard form into an ordinary number. The following two questions are taken from the AQA GCSE foundation specimen paper.

1. Write 2 500 000 in standard form.

First we need to write this as number between 1 and 10 multiplied by a multiple of 10. In this case...

2.5 x 1 000 000

We've found A its 2.5! Now we need to write 1 000 000 in the form 10n as shown

1 000 000 = 10 x 10 x 10 x 10 x 10 x 10 = 106

So the answer is 2.5 x 106

2. Write 1.2 x 10-5 as an ordinary number.

In order to convert from standard for to an ordinary number all we need to do is complete the multiplication.

1.2 x 10-5 = 1.2 x 0.00001 = 0.000015

The main benefit of standard form is that it makes calculations using these numbers significantly easier (this is what we are aiming for). For your exams you will be expected to do this with and without a calculator (eek). This is what we can work on next.

Ceri L. GCSE Maths tutor, 11 Plus Maths tutor, 13 plus  Science tutor...

5 months ago

Answered by Ceri, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

434 SUBJECT SPECIALISTS

£20 /hr

Tadas T.

Degree: MMathPhil Mathematics and Philosophy (Bachelors) - Oxford, St Anne's College University

Subjects offered: Maths, Philosophy and Ethics+ 5 more

Maths
Philosophy and Ethics
Further Mathematics
.MAT.
-Personal Statements-
-Oxbridge Preparation-

“Currently I am a third year Maths and Philosophy student at the University of Oxford. I have been interested in both Maths and Philosophy for quite a long time now and I hope I can pass both the interest and knowledge for the subject(...”

£18 /hr

Kelsey M.

Degree: Microbiology (Bachelors) - Queen's, Belfast University

Subjects offered: Maths, Science+ 1 more

Maths
Science
Biology

“About Me: My name is Kelsey and I am currently in my final year of a Bachelors degree in Microbiology at Queen's University Belfast. I'm really excited by microorganisms - the good, the bad and the ugly. About Tutoring: The content of ...”

MyTutor guarantee

£20 /hr

Abigail G.

Degree: Zoology (Bachelors) - Exeter University

Subjects offered: Maths, Geography+ 3 more

Maths
Geography
Chemistry
Biology
-Personal Statements-

“Hi I'm Abi, a 1st year MSci Zoology student at the University of Exeter, Penryn Campus. I am absolutely loving my degree and am learning new and exiting things every second! I thoroughly enjoy anything biological related and am able t...”

About the author

Ceri L.

Currently unavailable: for new students

Degree: General Engineering (Masters) - Durham University

Subjects offered: Maths, Science+ 1 more

Maths
Science
Physics

“About Me: I am a second year student studying General Engineering at Durham University. My interest in Engineering originated from my enthusiasm for science and mathematics. I aim to encorage my students to become passionate about th...”

You may also like...

Other GCSE Maths questions

Solve this pair of simultaneous equations: 3x + y= 7 and 3x - y = 5

Solve the simultaneous equations 2x + y = 7 and 3x - y = 8.

Expand and simplify (x + 5)(x – 1)

Probability: "Sock Drawer" style questions.

View GCSE Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok