Standard Form
In this lesson on standard form, students will learn how to express very large or very small numbers in a compact and efficient way using powers of 10. A number in standard form is written as a value between 1 and 10 multiplied by a power of 10. This makes calculations easier and is especially useful in science and real-world contexts where extreme values are common.
Related Lessons:
How To Express In Standard Form
Standard Form is writing very large or very small numbers in simpler form.
\(A×10^n\)
where 1≤A<10 and n is an integer (e.g.\(-5\), \(-2\), 10, 15)
Represent Very Large & Small Numbers In Words
Commonly use in measurement of distance, memory chip size:
- Kilo 10^3
- Mega 10^6
- Giga 10^9
- Tera 10^12
Commonly use in measurement of population, finance:
- Million \(10^6\)
- Billion \(10^9\)
- Trillion \(10^12\)
Use for very small measurements in topics like electronics & physics:
- Mini \(10^{-3}\)
- Micro \(10^{-6}\)
- Nano \(10^{-9}\)
- Pico \(10^{-12}\)
Standard Form Example 1
- 7240
- 0.02025
- 628456
- 0.00001234
Standard Form Example 2
- \((2.4×10^5 )÷(4.8×10^{−3})\)
- \(3.7×10^{−4}−1.6×10^{−5}\)
Standard Form Example 3
- \(\frac{𝑞}{𝑝}\)
- \(3𝑞−𝑝\)
Standard Form Example 4
Light travels 1 metre in 3.3 nanoseconds. Find the total distance in metres that light will travel in 6.6 microseconds.
Standard Form Example 5
- Express this mass in grams, giving your answer in standard form.
- A molecule of nitrogen dioxide (NO2) contains one atom of nitrogen and two atoms of oxygen. Given that the mass of one atom of oxygen is \(2.66×10^{−23}\) grams, find the mass of one molecule of nitrogen dioxide. Give your answer in grams in standard form.