39-40= Scientific Notation Write the number indicated in...

$39-40=$ Scientific Notation Write the number indicated in each statement in scientific notation. (a) The distance from the earth to the sun is about 93 million miles. (b) The mass of an oxygen molecule is about 0.0000000000000000000000053 $\mathrm{g}$ 0.0000000000000000000000053 $\mathrm{g}$ (c) The mass of the earth is about $5,970,000,000,000,000,000,000,000 \mathrm{kg}$

$39-40=$ Scientific Notation Write the number indicated in each
statement in scientific notation.
(a) The distance from the earth to the sun is about
93 million miles.
(b) The mass of an oxygen molecule is about
0.0000000000000000000000053 $\mathrm{g}$
0.0000000000000000000000053 $\mathrm{g}$
(c) The mass of the earth is about
$5,970,000,000,000,000,000,000,000 \mathrm{kg}$

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Key Concepts

Powers of Ten

The use of powers of ten is central to scientific notation. In this context, the exponent indicates how many times the number 10 is multiplied by itself. Positive exponents are used for large numbers, effectively moving the decimal point to the right, while negative exponents are used for small numbers, shifting the decimal point to the left.

Standard Form

Standard form is another term for scientific notation, emphasizing the uniform way of writing numbers with a single non-zero digit to the left of the decimal point. This form provides clarity and precision when dealing with numbers of widely varied scales, making it easier to perform and check calculations.

Scientific Notation

Scientific notation is a method for expressing very large or very small numbers in a compact form. It represents any number as the product of a decimal number (usually between 1 and 10) and a power of ten. This notation simplifies arithmetic calculations and comparison of magnitudes by standardizing the form of the number.

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