Maths

>

KS3

Numbers

Question

What are the 3 rules for writing numbers in standard form?

2 years ago

·

40 Replies

·

6174 views

E

Ella Schimmel


40 Answers

David B Profile Picture
David B Verified Sherpa Tutor ✓

KS3 & GCSE Maths, Statistics, Edexcel & AQA. Qualified Head of Maths

3 reviews

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

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
I
Ian Swift

One digit in front of decimal point

To increase power move dot to right or number to left

To decrease power move dot to left or number to right

Shreya Profile Picture
Shreya Verified Sherpa Tutor ✓

Friendly And Experienced Maths Tutor That Will Help You Get Those A*!!

standard form is written in the form Z * 10^n

1) Z has to be between 1 and 10

2) standard form has a base 10

3) the power (n) has to be a whole number

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
I
Ian Mclachlan

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

N
Nazneen

1.It should be in the form of Ax+By=C

2.A,B, and C must be integers

3.A cannot be zero


P
Phoebe Frost

Standard Form is written in the form a x 10^n, where a is between 1 and 10 (greater than or equal to 1 but less than 10) and where n must be a whole number (positive or negative).


Example:

Correct: 3.5 x 10^3 or 2 x 10^-6

Wrong 0.3 x 10^2 or 13.4 x 10^5

Amir T Profile Picture
Amir T Verified Sherpa Tutor ✓

Fun & Enthusiastic Maths Tutor + 7 Yrs of Experience

A number is in standard form when it’s of the form:


a x 10^b where,


a is between 1 and 10 (inclusive of 1 but not 10), and b is an integer.


The a part is usually quite easily determined, however, the b part must be taken care of when converting ordinary numbers to standard form. Count how many spaces the decimal point has moved across to figure out the correct power of 10.


For example,

543,000 in standard form is 5.43 x 10^5.

0.00000678 in standard form is 6.78 x 10^-6.

I'm available for 1:1 private online tuition!

Click here to view my profile and arrange a free introduction.
S
Saba Hussain

Standard form is a way of writing down very large or very small numbers easily. 10 to the power of 3 = 1000, so as 4 × 10 to the power of 3 = 4000.


Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.

For example, take the number 123000000, an easier way of writing this number is ​​

1.23 × 108.



M
Mohammed Iqbal

First number between 1 and less than 10. Power should be an integer

S
Sana Hafeez

The rule when writing a number in standard form is that first, you write a number between 1 and 10, then you write × 10 (to the power of a number). Type in the first number (the one between 1 and 10). Press EXP. Type in the power to which the 10 has risen.

Think you can help?

More Maths KS3 Questions
Sherpa Badge

Need a KS3 Maths tutor?

Get started with a free online introductions with an experienced and qualified online tutor on Sherpa.

Find a KS3 Maths Tutor