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 which must always be 10 in scientific notation. The exponent indicates the power to which 10 must be raised to bring the number to its proper magnitude.
To write a very large number in scientific notation:
1. Move the decimal point to the left until after the first digit. (e.g. 1.23 000 000 000)
2. The number of places moved by the decimal point would be the exponent. (e.g. 11)
3. Then drop the zeroes. (e.g.)
To enter scientific notation in the calculator, use thekey.
For example: Enter 1.23 EXP 11 for
A very small number will have a negative exponent, for example:
0.000 000 00712 will be written as 7.12 × 10-9
To write a very small number in scientific notation:
1. Move the decimal point needs to the right until after the first non-zero digit. (e.g. 7.12)
2. The number of places moved by the decimal point would be the negative exponent. (e.g. -9)
To multiply numbers in scientific notation:
1. Multiply the coefficients
2. Add the exponents
(2.1 × 10-2) × (3.2 × 104)
= 2.1 × 3.2 × 10-2+4
= 6.72 × 102
This video shows how to convert from decimal notation to scientific notation and how to multiply and divide numbers in scientific notation.
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