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Question

Reid Graham

03/23/2023 · Middle School

What is 93 000 000 in scientific notation?

 

A.\( 9.3\times  10^ 7 \)

B. \( 9.3\times  10^ 8\)

C.\( 9.3\times  10^ 9\)

D. \( 9.3\times  10^ 6\)

Answer
expertExpert-Verified Answer

Wood Davison
Competent Tutor
5.0 (26votes)

A. \(9.3 \times 10^ 7\)

Solution

UpStudy Free Solution:

 

To convert \(93,000,000\) into scientific notation, follow these steps:

 

1. Move the decimal point so that there is only one non-zero digit to the left of the decimal point. For \(93,000,000\), this would be \(9.3\).

2. Count the number of places the decimal point has moved. In this case, it moves 7 places to the left.

 

Therefore, \(93,000,000\) in scientific notation is \(9.3 \times 10^ 7\).

 

So, the correct answer is:

 

A. \(9.3 \times 10^ 7\)

 

Supplemental Knowledge

 

Scientific notation is a method of expressing very large or very small numbers in a compact form. It is particularly useful in fields like science and engineering where such numbers frequently occur.

 

Key Concepts:

1. Scientific Notation Format: A number is written in scientific notation as \(a \times 10^ n\), where:

\(a\) is a number greater than or equal to 1 and less than 10.

\(n\) is an integer.

2. Steps to Convert to Scientific Notation:

- Identify the significant digits of the number.

- Place the decimal point after the first non-zero digit.

- Count how many places you moved the decimal point to determine the exponent \(n\).

- If you move the decimal point to the left, \(n\) is positive. If you move it to the right, \(n\) is negative.

 

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