Powers, Roots & Standard Form (Cambridge O Level Maths)

Here are some numbers written in standard form

From these numbers, write down;

i)

the largest number,
 

[1]

ii)

the smallest number.

[1]

Write the following numbers in order of size.
Start with the smallest number.

Patrick has to work out the exact value of

Patrick says,

″ of 64 is 16 so  = 16"

Explain what is wrong with what Patrick says.

The table shows information about the annual coffee production of some countries in a recent year.

Country	Number of bags per year
Brazil
Vietnam
Colombia
Indonesia

In the same year, Brazil produced  million bags of coffee.

Complete the table with the coffee production for Brazil, using standard form. 

How many more bags of coffee were produced in Vietnam than in Colombia?

The mass of a bag of coffee is kg.

Work out the number of kilograms of coffee produced in Indonesia.
Give your answer in standard form

Evaluate 

Estimate, correct to the nearest whole number, the value of .
Show clearly the approximate values you use.

Find the value of .

Work out, giving your answer in standard form,

(5.2 × 10⁷) + (5.2 × 10⁶) .

Work out  .
Give your answer in standard form.

Write 5400 000 as a number in standard form.

Write 3.2 10^-4 as an ordinary number.

The mass of the Sun is 2 10³⁰ kg.
The mass of the largest known star is 315 times the mass of the Sun.

Work out the mass of this star.
Give your answer in kg in standard form.

Work out the value of (9 10^-4) (3 10⁷)
Give your answer in standard form.

Write  as a a fraction in its simplest form.

Find a when , and .
Write your answer in standard form.

= .................................................

= .................................................

Work out  

Work out, giving your answer in standard form,

(7.1 × 10^–15) × (2 × 10³)

Work out 
Give your answer in standard form.

Calculate   .

Work out.

Find the value of .

Simplify  

Give your answer in the form 2^a where is an integer.

Show each stage of your working clearly.