Question

practice

1. write in scientific notation:

a. 3,400
b. 78,000,000
c. 0.0045
d. 0.00000091

1. write in standard form:

a. (5.2 \times 10^3)
b. (7.8 \times 10^{-2})
c. (1.1 \times 10^6)

1. which number is larger? (3.2 \times 10^5) or (3.2 \times 10^3)? explain how you know.

1. explain why scientists use scientific notation.

Explanation:

Convert numbers to scientific notation

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Convert numbers to standard form

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Compare exponential values and explain purpose

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Answer:

Question 1

Write in scientific notation:
a. \(3.4 \times 10^3\)
b. \(7.8 \times 10^7\)
c. \(4.5 \times 10^{-3}\)
d. \(9.1 \times 10^{-7}\)

Question 2

Write in standard form:
a. \(5,200\)
b. \(0.078\)
c. \(1,100,000\)

Question 3

\(3.2 \times 10^5\) is larger. Since the decimal parts are identical, the number with the larger exponent on the base of 10 represents a greater value (\(320,000\) compared to \(3,200\)).

Question 4

Scientists use scientific notation to easily work with, read, and write extremely large or extremely small numbers without having to write out many placeholder zeros.