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Chapter 0: Problem 100

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $$\frac{7.5 \times 10^{-2}}{2.5 \times 10^{6}}$$

Short Answer

Expert verified
Therefore, the correct answer after performing the indicated computation in scientific notation rounded to two decimal points is \( 3.00 \times 10^{-8} \).

Step by step solution

01

Divide Significant Figures

Divide the significant numbers 7.5 and 2.5 first, these are the two numeric values in the given problem. The result is \( \frac{7.5}{2.5} = 3 \).
02

Subtract Exponents

Subtract the exponent of the denominator from the exponent of the numerator. In this case, subtract 6 (exponent of denominator) from -2 (exponent of numerator). The result is \( 10^{{-2-6}} = 10^{-8} \)
03

Multiplication

The final answer will be the value from step 1 times the value from step 2. This gives \( 3 \times 10^{-8} \). In scientific notation, a number is expressed in the form \( a \times 10^n \) where n is an integer, and 1 鈮� a < 10. In our case, 'a' is '3', and 'n' is '-8'. So the number '3' forms the decimal portion (rounded to the two decimal places as required), and the integer '-8' represents the exponent portion.

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Most popular questions from this chapter

Find the union of the sets. $$\\{a, e, i, o, u\\} \cup \varnothing$$

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. $$\left\\{-11,-\frac{5}{6}, 0,0.75, \sqrt{5}, \pi, \sqrt{64}\right\\}$$

Find the intersection of the sets. $$\\{1,2,3,4\\} \cap\\{2,4,5\\}$$

$$\text { factor completely.}$$ $$-x^{2}-4 x+5$$

$$\text { Factor completely.}$$ $$x^{4}-5 x^{2} y^{2}+4 y^{4}$$
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