What is scientific notation? Why do we use it? How do we use it? How can we write a number in scientific notation? These are some questions that well answer in todays post. What is scientific notation and why do we use it? Working with very large or small quantities usually ends up being quite complicated. P
Scientific notation is a way to write numbers in an abbreviated way, making it easier to work with these numbers. How can you write numbers in scientific notation? A number that only has a 1s place and decimals. An exponent that indicates the power of 10. Why do we multiply by a power of 10? To the right, when the exponent is positive (when we are multiplying by a number greater than or equal to 10).
For example: 7510 = 750 =7500 35. 6910 = 356. 9 35. 69100 = 35. 6910 = 3569 To the left, when the exponent is positive (when multiplying by a number less than 1). By doing so, we make the number smaller: = 75/10 = 7. 5 P= 75/100 = 0. 75 35. 6910 P= 3. 569 35. 6910 P= 35. 69/100 = 0. 3569 Why does the decimal portion only have a 1s place and decimals? It only has a 1s place and decimals so that it follows the universal format that is understood everywhere in the world. In addition to being universal, it helps us compare quantities with a single glance as we can focus on the power of 10.
The bigger the exponent is, the bigger the number. Lets order the following numbers in scientific notation: 3. 6352P 8. 235 6. 3005 1. 3225P Carefully looking at the exponent, we can order the numbers from least to greatest: 8. 235 3. 6352P 6. 3005 PP 1. 3225 0. 8235 PP PP363. 52 PP PP6300. 5 PP PP13225 That wraps it up for scientific notation. Can you think of another reason why its useful? If you liked this post and want to keep on learning more, make an account at Pand become a math genius! Do you know this number, 300,000,000 m/sec.? It\’s the Speed of light! Do you recognize this number, 0. 000 000 000 753 kg. This is the mass of a dust particle!
Scientists have developed a shorter method to express very large numbers. This method is called scientific notation. Scientific Notation is based on powers of the base number 10. The number 123,000,000,000 in scientific notation is written as : The first number 1. 23 is called the coefficient. It must be greater than or equal to 1 and less than 10. The second number is called the base. It must always be 10 in scientific notation. The base number 10 is always written in exponent form. In the number 1. 23 x 10 the number 11 is referred to as the exponent or power of ten. Put the decimal after the first digit and drop the zeroes.
In the number 123,000,000,000 The coefficient will be 1. 23 To find the exponent count the number of places from the decimal to the end of the number. In 123,000,000,000 there are 11 places. Therefore we write 123,000,000,000 as: Exponents are often expressed using other notations. The number 123,000,000,000 can also be written as: 1. 23E+11 or as 1. 23 X 10^11 For small numbers we use a similar approach. Numbers less smaller than 1 will have a negative exponent. A millionth of a second is: 0. 000001 sec. or 1. 0E-6 or 1. 0^-6 For online assessment question in scientific notation (including multiplication and division problems) —.