Chapter 7: Q20. (page 430)

Evaluate each product or quotient. Express the results in scientific notation.
$(7.5 \times 10^{6}) (2.5 \times 10^{- 2})$

Short Answer

Expert verified

The value of the given product $(7.5 \times 10^{6}) (2.5 \times 10^{- 2})$ in scientific notation is $1.875 \times 10^{5}$ .

Step by step solution

Step 1. Evaluate the given product 7.5×1062.5×10−2.

The value of the given product $(7.5 \times 10^{6}) (2.5 \times 10^{- 2})$ is:

$(7.5 \times 10^{6}) (2.5 \times 10^{- 2}) = 7.5 \times 10^{6} \times 2.5 \times 10^{- 2} = 7.5 \times 2.5 \times 10^{6} \times 10^{- 2} = 18.75 \times 10^{6 + (- 2)} (∵ a^{m} \times a^{n} = a^{m + n}) = 18.75 \times 10^{6 - 2} = 18.75 \times 10^{4}$

Step 2. Express the result of the product 7.5×1062.5×10−2 in scientific notation.

The result of the product $(7.5 \times 10^{6}) (2.5 \times 10^{- 2})$ is $18.75 \times 10^{4}$ .

The result of the product $(7.5 \times 10^{6}) (2.5 \times 10^{- 2})$ in scientific notation is:

role="math" localid="1647704406290" $18.75 \times 10^{4} = 1.875 \times 10 \times 10^{4} = 1.875 \times 10^{1 + 4} (∵ a^{m} \times a^{n} = a^{m + n}) = 1.875 \times 10^{5}$

Therefore, the value of the given product $(7.5 \times 10^{6}) (2.5 \times 10^{- 2})$ in scientific notation is $1.875 \times 10^{5}$ .

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Planet	Distance from Sun (km)
Mercury	$5.79 \times 10^{7}$
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Evaluate each product or quotient. Express the results in scientific notation.
$(7.5 \times 10^{6}) (2.5 \times 10^{- 2})$

Short Answer

Step by step solution

Step 1. Evaluate the given product 7.5×1062.5×10−2.

Step 2. Express the result of the product 7.5×1062.5×10−2 in scientific notation.

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Evaluate each product or quotient. Express the results in scientific notation.7.5×1062.5×10−2

Short Answer

Step by step solution

Step 1. Evaluate the given product 7.5×1062.5×10−2.

Step 2. Express the result of the product 7.5×1062.5×10−2 in scientific notation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Calculus

Geometry

Statistics

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Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate each product or quotient. Express the results in scientific notation.
$(7.5 \times 10^{6}) (2.5 \times 10^{- 2})$