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Homework and Scientific Notation
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Scientific notation is a convenient notation system used to represent large and small numbers. Examples of these are the mass of the sun or the mass of an electron in kilograms. Simplifying basic operations such as multiplication and division with these numbers requires using exponential properties. Scientific notation has two parts: a number between one and nine and a power of ten, by which that number is multiplied. The exponent tells how many times to multiply by Each multiple of 10 shifts the decimal point one place. To decide which direction to move the decimal left or right , recall that positive exponents means there is big number larger than ten and negative exponents means there is a small number less than one.
2.6: Scientific Notation
A closer look at scientific notation shows that the number is being represented by two parts, the pre-exponential and the exponential 10 to a power. To convert a floating decimal point number to scientific notation you need to multiple or divide the pre-exponential by 10 to a power, until there is just one digit to the left of the decimal point. Because this changes the value of the number, you need to divide or multiple that pre-exponential by 10 to a power the second term of the notation, noting that division is represented by 10 to a negative exponent , so that they combined expression equals the value of the floating decimal point number.
An exponent is a signal for how many times to multiply a number over again. When evaluating variables, it is important to understand the meaning of exponents and how they relate in the number sentence. A number such as 2 6 or x 12 has two parts, the base, and the exponent.