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Chapter 5: Problem 74

Express each number in scientific notation. \(630 \times 10^{8}\)

Short Answer

Expert verified
The number 630 脳 10^8 expressed in scientific notation is 6.30 脳 10^{10}.

Step by step solution

01

Identify the given values

The problem has given the number \(630 \times 10^{8}\). In this standard form, 630 is the digit and 8 is the power of 10.
02

Express the number in scientific notation

To convert this to scientific notation, remember that the number should be expressed as a product of a number between 1 and 10, and 10 raised to an exponent. In this case, that means rewriting 630 as 6.30, and adjusting the exponent of 10 accordingly. Since we moved the decimal point 2 places to the left in the number 630, we need to add 2 to the exponent of 10. This gives \(6.30 \times 10^{8+2}\).
03

Simplify the expression

Finally, simplify the expression by adding the exponents together to get \(6.30 \times 10^{10}\).

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Most popular questions from this chapter

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=\frac{1}{2}, r=2\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I've noticed that the big difference between arithmetic and geometric sequences is that arithmetic sequences are based on addition and geometric sequences are based on multiplication.

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Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{20}\), when \(a_{1}=2, r=2\).

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{4}\), when \(a_{1}=4, r=-3\).
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