The Lesson
Scientific notation is a way of writing a number. We need to know what number the scientific notation represents. Imagine we wanted to know what number 1.23 × 10^{5} represents.How to Convert Scientific Notation to a Number
Converting scientific notation to a number is easy.Question
What is 1.23 × 10^{5} written in full?Step-by-Step:
1
Look at the number between 1 and 10. In our example, the number between 1 and 10 is 1.23.
Find the decimal point in the number between 1 and 10.
Don't forget: If the number does not have a decimal point written, it can be written at the end of the number with a 0 after it (1 = 1.0).
2
Find the exponent of the power of 10. In our example, the exponent of the power of 10 is 5.
3
Move the decimal point found in Step 1 by the number of places given by the exponent in Step 2. In our example, we will move the decimal places 5 places to the right.
- When we move the decimal point 2 places to the right, we come to the end of the last digit in the number.
- To move the full 5 places, we need to write 0s in the last 3 places.
Answer:
We have taken the number written in scientific notation and written it in full:
1.23 × 10^{5} = 123,000