a x 10^4 + a x 10^2 = 24 240 where a is a number. Work out a x 10^4 - a x10^2 Give your answer in standard form.

From first principles: ax10^4 is the same as a0000. ax10^2 is the same as a00

So, a0000

          a00

     a0a00

If we look at this pattern and compare to the number in the question:

a0a00

  |  |

24240

the a0 corresponds to the numbers 24, so a is 2.4

2.4x10^4-2.4x10^2:

Write them out the same as before:

24000

    240 

23760

Then as standard form, put a decimal after the first digit

2.3760

then count how many places from the end of the number the deciaml has moved:

4

So, it's 2.3760x10^4

0 isn't necessary, so dont need to write it in our final answer

2.376x10^4

Answered by Joe B. Maths tutor

11524 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve 4(3x - 2) = 2x - 5. (3 marks)


https://revisionmaths.com/sites/mathsrevision.net/files/imce/1MA0_1F_que_20160526.pdf Question 5


Solve the simultaneous equations: 3x+4y=19, x-6y= -23.


a) Find the area of a semi circle with diameter 12cm. b) The area of a semi-circle is 60cm^2. Find the radius of the sem-circle.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences