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What is the scientific notation for 9.3 billion?
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Move the decimal 9 spaces to the left: $9.3 \times 10^9$.
Explain the process of converting 3.7 \times 10^{-3} into standard notation.
Move the decimal 3 spaces to the left to get 0.0037.
How does a positive exponent in scientific notation affect the number?
It indicates that the number is large, and the decimal is moved to the right in standard notation.
Transform $2.4 \times 10^2$ into standard notation.
Move the decimal 2 spaces to the right: 240.
What's the standard notation of $4.16 \times 10^{-5}$?
Move the decimal 5 spaces to the left: 0.0000416.
Convert $3.56 \times 10^3$ to standard notation.
Move the decimal 3 spaces to the right: 3,560.
Convert the scientific notation $1.8 \times 10^{-3}$ to its standard notation.
Move the decimal 3 spaces to the left: 0.0018.
How do you convert 72,000,000 into scientific notation?
Move the decimal 7 spaces to the left to get $7.2 \times 10^7$.
Convert the number 0.049 into scientific notation.
Move the decimal 2 spaces to the right: $4.9 \times 10^{-2}$.
Why are negative exponents used in scientific notation?
They indicate very small numbers and the decimal is moved to the left in standard notation.
What does a negative exponent tell you about the size of the number?
It tells you the number is very small.
If a number is written as $5.8 \times 10^5$ in scientific notation, what would it be in standard form?
Move the decimal 5 spaces to the right: 580,000.
What is the key purpose of using scientific notation?
To simplify the representation and calculation of very large or very small numbers.
Determine the standard form of the number $3.96 \times 10^7$.
Move the decimal 7 spaces to the right: 39,600,000.
Convert 0.00076 into scientific notation.
Move the decimal 4 spaces to the right: $7.6 \times 10^{-4}$.
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