Homework Explained - Math Practice 101

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Chapter 2: Real Numbers; Mixed Review

Selected Response

• Question 1

Which of the following is equivalent to $$6^{–3}$$?

• 216
• $$\large\frac{1}{216}$$
• $$\large-\frac{1}{216}$$
• -216
• Question 2

About 786,700,000 passengers traveled by plane in the United States in 2010. What is this number written in scientific notation?

• $$7,867 \times 10^5$$ passengers
• $$7.867 \times 10^2$$ passengers
• $$7.867 \times 10^8$$ passengers
• $$7.867 \times 10^9$$ passengers
• Question 3

In 2011, the population of Mali was about $$1.584 \times 10^7$$ people. What is this number written in standard notation?

• 1.584 people
• 1,584 people
• 15,840,000 people
• 158,400,000 people
• Question 4

The square root of a number is between 7 and 8. Which could be the number?

• 72
• 83
• 51
• 66
• Question 5

Each entry-level account executive in a large company makes an annual salary of $$3.48 \times 10^4$$. If there are $$5.2 \times 10^2$$ account executives in the company, how much do they make in all?

• $$6.69 \times 10^1$$
• $$3.428 \times 10^4$$
• $$3.532 \times 10^4$$
• $$1.8096 \times 10^7$$
• Question 6

Place the numbers in order from least to greatest.
$$0.24, 4 \times 10^{-2}, 0.042, 2 \times 10^{-4}, 0.004$$

• $$2 × 10^{-4}, 4 × 10^{-2}, 0.004, 0.042, 0.24$$
• $$0.004, 2 × 10^{-4}, 0.042, 4 × 10^{-2}, 0.24$$
• $$0.004, 2 × 10^{-4}, 4 × 10^{-2}, 0.042, 0.24$$
• $$2 × 10^{-4}, 0.004, 4 × 10^{-2}, 0.042, 0.24$$
• Question 7

Guillermo is $$\large5\frac{5}{6}$$ feet tall. What is this number of feet written as a decimal?

• 5.7 feet
• $$5. \overline{7}$$ feet
• 5.83 feet
• $$5.8\overline{ 3}$$ feet
• Question 8

A human hair has a width of about $$6.5 \times 10^{-5}$$ meter. What is this width written in standard notation?

• 0.00000065 meter
• 0.0000065 meter
• 0.000065 meter
• 0.00065 meter

• Question 9

Consider the following numbers: 7000, 700, 70, 0.7, 0.07, 0.007

a. Write the numbers in scientific notation.

• Type below:
• Question 9

b. Look for a pattern in the given list and the list in scientific notation. Which numbers are missing from the lists?

• Type below:
• Question 9

c. Make a conjecture about the missing numbers.

• Type below:

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