Standard form

Question 1

What is standard form and expanded form in Maths?

Answer 1

Changing the words to math symbols, 12,345 in expanded form is: 1 x 10,000 + 2 x 1,000 + 3 x 100 + 4 x 10 + 5 x 1 Standard form is the reverse of expanded form. You begin with expanded form and change it to the way we normally write numbers.

Question 2

What is the meaning of standard form?

Answer 2

Standard form is a way of writing down very large or very small numbers easily. … This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.

Question 3

What is an example of Standard form

Answer 3

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . … Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative.

Question 4

I know my power of tens

Answer 4

We can write power of ten using INDEX NOTATION 
10=10 1
100= 10x10=10 3
1000=10x10x10x10=10 4
10000=10x10x10x10=10 5
100000=10x10x10x10x10=10 6
1,000,000=10x10x10x10x10x10=10 7

Question 5

Negative powers of ten

Answer 5

Any number raised to the power of 0 is 1,50

We use negative powers of ten to give us decimals

Question 6

Standard Form

Answer 6

We can use very large numbers using standard form.

To write a number is standard form we write it as a number between 1 and 10 multiplied by power of ten.

Question 7

Format

Answer 7

Ax10n
n= power
A= Is a number between 1 and 10 but not 10
For Example, the average distance from the earth to the sun is about 150,000,000km.
We can write this number as 1.5x10 8 km.
1.5x10 7
1.5x10 8

Question 8

Writing small numbers

Answer 8

For example, the width of this shelled amoeba is 0.00013m.

We can write this number as 1.3x 10 -4m.