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Chapter 0: Problem 65

Write each number in decimal notation without the use of exponents. $$3.8 \times 10^{2}$$

Short Answer

Expert verified
The decimal notation for the number \(3.8 \times 10^{2}\) is 380.

Step by step solution

01

Identify the exponent

The exponent in this problem is 2, which is positive. This means the decimal point in the given number will move to the right.
02

Move the Decimal Point

For each unit of the exponent, shift the decimal place one slot to the right. Since the exponent is 2, shift the decimal place two slots to the right from its current position after 8 in 3.8. This results in the decimal number 380.

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Most popular questions from this chapter

List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. $$\\{-5,-0 . \overline{3}, 0, \sqrt{2}, \sqrt{4}\\}$$

Multiply: \(\quad\left(2 x^{3} y^{2}\right)\left(5 x^{4} y^{7}\right)\)

Evaluate each algebraic expression for the given value or values of the variable(s). $$7+5 x, \text { for } x=10$$

Factor and simplify each algebraic expression. $$\left(x^{2}+3\right)^{-\frac{2}{3}}+\left(x^{2}+3\right)^{-\frac{5}{3}}$$

This will help you prepare for the material covered in the next section. a. Simplify: \(21 x+10 x\) b. Simplify: \(21 \sqrt{2}+10 \sqrt{2}\)
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