State whether the following are written in standard form:
0.941 \times 10^{3}
1.49 \times 10^{14}
601.49 \times 10^{14}
Write the following numbers in standard form:
Write the following numbers in standard form:
Express the number: eight hundred and nineteen thousand and three point one in standard form.
The world's oceans hold approximately 1\,380\,000\,000\,000\,000\,000\,000 litres of water. Express this volume of water in standard form.
The distance between two stars is approximate 9 \times 10^{7} metres. Express this distance as a whole number.
Express the following numbers as a basic numeral:
Complete the following statements:
Enter the following into your calculator and write down the answer as displayed on your calculator:
Use your calculator to find the value of 83\,000^{2} \times 79\,000\,000.
Write the answer in standard form
Write the answer as a basic numeral
Evaluate the following, writing your answers in standard form correct to three significant figures:
Evaluate the following, writing your answers in standard form correct to four significant figures:
\dfrac{7257 \times 3937}{0.0083}
Use your calculator to find the value of 1319^{3}. Write your answer in standard form, correct to five significant figures.
1\text{ AU} (Astronomical Unit) is the distance from Earth to the Sun, where \\ 1\text{ AU} \approx 149\,597\,900 \text{ km}.
This distance from Earth to Uranus is approximately 18.0\text{ AU}. What is this distance in millimetres? Write your answer in standard form to four significant figures.
A light year is defined as the distance that light can travel in one year. It is measured to be 9\,460\,730\,000\,000\,000 metres.
Write this distance in standard form.
Convert this distance to kilometres. Write your answer in standard form.
Convert this distance to centimetres. Write your answer in standard form.
A micrometre (\mu\text{m}) is defined as being a millionth of a metre, so 1 \,\mu\text{m} \approx 0.000\,001\text{ m}.
The size of a fog, mist or cloud water droplet is approximately 10 \, \mu\text{m}. How many whole droplets would fit in a 9\text{ cm} sample?
The mass of the largest mammal on Earth is approximately 1.5 \times 10^{3} times greater than the mass of an average adult human who weighs 90 \text{ kg}. According to this information, find the approximate mass of the largest mammal on Earth. Write your answer as a basic numeral.
Light can travel at a speed of 300\,000\,000\text{ m/s}. Find the following in standard form:
The distance light travels in 1 minute.
The distance light travels in 1 hour.
The distance light travels in 1 day.
The distance between Earth and Uranus is 0.000\,316\,9 light years. (1 light year =9.46 \times 10^{15} metres).
What is the distance between Earth and Uranus in kilometres? Write your answer as a whole number.
The circumference of the earth is approximately 40\,075\text{ km}. How many times must a person travel around the Earth, in order to travel the same distance from Earth to Uranus? Round your answer to the nearest integer.
A satellite orbits Earth at a speed of approximately 2.6 \times 10^{4} kilometres per hour. If a particular satellite has been orbiting Earth for 6 \times 10^{3} hours, find the distance the satellite has travelled. Write your answer in standard form.
The Earth orbits the Sun at an approximate speed of 8333 metres per second.
Calculate how far the Earth travels in one hour.
Calculate how far the Earth travels in 8 hours. Write your answer in standard form, rounded to one significant figure.