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

10661 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Can you explain when we flip the inequality direction when solving inequalities.


ABC, DEF and PQRS are parallel lines. BEQ is a straight line. Angle ABE = 60° Angle QER = 80° Work out the size of the angle marked x. Give reasons for each stage of your working.


Solve the following simultaneous equations to find the values of x and y: 3y - 7x = 15 & 2y = 4x + 12


How does Pythagoras Theorem work?


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 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences