GCSE Secondary Maths Age 13-17 - Number: Indices and Standard form - Explained

The video tutorial explains how to handle negative indices and convert them into positive indices for calculation. It demonstrates calculating powers using a calculator and converting the result into standard form. The tutorial emphasizes the importance of precision in standard form, highlighting common mistakes students make, such as rounding off digits incorrectly.

What is the result of converting 25 to the power of -3 into a positive index?

• 1 / 25^3

• 25^-3

• 1 / 25^2

• 25^3

What is the value of 350 cubed?

• 4287500

• 428750

• 42875000

• 428750000

How should the number 42875000 be expressed in standard form?

• 4.2875 x 10^6

• 4.2875 x 10^7

• 4.2875 x 10^5

• 4.2875 x 10^8

What is a common mistake students make when writing numbers in standard form?

• Including all non-zero digits

• Rounding off significant digits

• Using a negative power of 10

• Writing the number as a fraction

Why is it important not to round off digits when writing in standard form?

• It simplifies the calculation

• It changes the value of the number

• It is required by calculators

• It makes the number easier to read