Hello Students!

Today class shall be interesting as we will be looking into a topic from the SS1 Syllabus known as Standard Form. Please enjoy!

STANDARD FORM

A number is said to be in standard form if it is re-written as a figure between 1 and 10 and then multiplied by a power of ten without changing its original value. i.e. P × 10x.

Note
When expressing numbers in standard form, point are either carried from the left hand side (LHS) or right hand side (RHS) of it. While the point carried from the left hand side turns negative the point from right hand side turns positive.
Another very important thing to note is that when expressing either decimal number or whole number in standard form, points are carried until they are between the 1st and 2nd value.

Example 1; Express 263,000,000 in standard form.
Solution
The value above is a whole number so you carry imaginary point from (RHS) towards (LHS). Let’s do it!

www.nairaland.com/attachments/1428886_standard_pngd5e12f217093044126257c900086ac66

= 2.63 × 108. Answer

Example 2; Express 0.0006927 in standard form.
Solution
The value above is a decimal number so points are carried from the left hand side (LHS) – (RHS).
= 6.927 × 10-4.

Example 3; Express 34.694 in standard form.
Solution
Even though the value above is also a decimal number, points here will be carried from (RHS) – (LHS).
The result will be; 3.4694 × 101.

Ordinary Form
Ordinary form is the opposite of standard form. When you are expressing numbers in ordinary form it means going the other way round to get your answer.

For example; Express 3.4694 × 101 in ordinary form.

Solution
You are going to carry the point once from (LHS) – (RHS). Why? Because 10 is raised to power of 1.

3.4694 × 101
= 34.694. (Answer)

Practice these questions below;
1. Express the following in standard form;
(a) 54000
(b) 0.0003164
(c) 263.478
(d) 0.00000364
(e) 600.84

2. Find the value of A if 0.000046 = A × 10-5

3. What is the value of n if 0.0000094 = 9.4 × 10n?

4. Express the following in ordinary form;
(a) 2.83 × 108
(b) 4.765 × 10-3
(c) 1.278 × 102
(d) 9.87 × 10-9

Feel free to ask any question(s) base on today's topic and do not forget to visit my blogsite for more topics. I shall try to update once in a while.

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