What are t...
1 year ago
KS3 & GCSE Maths, Statistics, Edexcel & AQA. Qualified Head of Maths
Standard form is a way to write large, or small numbers. It takes a standard format (hence the name) of *.*** x 10^* so
3000 is written as 3 x 10^3
0.00045 is written as 4.5 x 10^-4
The number has to be between 1 and 10
Then you write x10
The power is to what order the 10 is. (eg. 4x10^3 = 4000) effectively 10^1=10, 10^2 =100 and then times that by the original number between 1 and 10
First step: Make sure you understand what the layout of standard form is:
Number less than 10 x 10 to the power of how many decimal places it moves.
Second step: look at your number. eg 450000
What numbers in here can you make less than 10?
45? not less than 10!
4.5! Yes! That's less than 10
Okay! now next step: How many places did the invincible decimal place move for you to get to 4.5
Remember the invincible decimal place is right at the end of the number 450000.
If you count now, that's 5 places.
So now put it into your standard form equation.
4.5 x 10^5
And you're done!
KS3, GCSE & A Level Maths Teacher ∼ 7+ years' experience
A standard form number takes the form of A x 10^B
A number written in standard form is written as A x 10^n
Where A is a number bigger than or equal to 1 and less than 10.
n can be any positive or negative integer.
you need to start with a number between 1 and 10
then you need to multiply by 10
add the relevant power
3rd yr med student-tutoring all STEM and med school preparation
If written in the form M x 10^n, the 3 rules are:
1) YM must be between 1 and 10
2) standard form uses base 10, I.e. 10 to the power of something (n)
3) n must be a whole number.
Firstly, convert the number to a decimal with only one number before the decimal point by dividing by 10 as many times as needed e.g.
2345 ÷ 10 = 234.5 ÷ 10 = 23.45 ÷ 10 = 2.345
We divided it by 10 three times to get our decimal.
Now we can write our standard form:
2.345 x 10 to the power of 3 (because we must multiply the decimal by 10 three times)
If we have a very small number, we multiply it to get a standard decimal e.g.
0.00071 x 10 = 0.0071 x 10 = 0.071 x 10 = 0.71 x 10 = 7.1
We multiplied by 10 four times.
When it comes to writing the number in standard form, we always use multiplication, so when we have multiplied to reach the decimal, we have to multiply it by a negative number:
7.1 x -10 to the power of 4
Maths Initial Teacher Trainee
Hi Ella! To write numbers in standard form, we have to write it in the form of A x 10^n
So the 3 rules are as follows:
Here is an example: Write 3420 in standard form
I hope this helps! :)
if written in the from Y*10^n, the 3 rules are :
1: Y must be between 1 and 10
2: standard form uses base 10 (10 to the power of something)
3: n must be a whole number
A must be greater than 1, less than 10. A must be multiplied by 10 to the power of a number (n). n must be a whole number.
The first number has to be between 1 and 10 but less than 10
It is always x 10 to the power of n
n has to be an integer
1.It should be in the form of Ax+By=C
2.A,B, and C must be integers
3.A cannot be zero
Think you can help?