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Chapter 7: Problem 46

Convert each number into standard notation. $$0.0527 \times 10^{4}$$

Short Answer

Expert verified
527.0

Step by step solution

01

Identify the Scientific Notation Components

The number given is in scientific notation: \(0.0527 \times 10^{4}\). Here, \(0.0527\) is the decimal part, and \(10^{4}\) represents the power of ten.
02

Multiply by the Power of Ten

To convert \(0.0527 \times 10^{4}\) into standard notation, move the decimal point in \(0.0527\) four places to the right because the exponent is \(4\).
03

Perform the Decimal Shift

Moving the decimal point four places to the right in \(0.0527\) gives \(527.0\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal Shift
To convert numbers from scientific notation to standard notation, we often perform a decimal shift. This means moving the decimal point to the right or left based on the exponent of ten. For example, in the scientific notation given for this exercise, we have the number 0.0527 multiplied by 10 raised to the power of 4.
Power of Ten
Powers of ten are crucial in scientific notation. They help indicate how many places we should move the decimal point. The power of ten is represented with an exponent, such as 10^4, indicating we multiply the number by ten four times.
Standard Notation
Standard notation is the usual way of writing numbers without exponents. In this case, after converting 0.0527 x 10^4 into standard notation, we get 527.0.

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Most popular questions from this chapter

perform the indicated operation and simplify. $$\text { Solve for } x: \frac{x}{3}-\frac{x}{4}=3$$

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