Question

\(3.7(10^7) = \)

• A. 370,000
• B. 3,700,000
• C. 37,000,000
• D. 370,000,000
• E. 3,700,000,000

Hint:

A simple way to think about it is that \(10^7\) is a 1 followed by 7 zeros (10,000,000). So you are calculating \(3.7 \times 10,000,000\). The 3 will be in the ten-millions place, and the 7 will be in the millions place.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This question asks to convert a number from scientific notation to standard decimal notation.
Step 2: Key Formula or Approach:
The expression \(a \times 10^n\), where \(n\) is a positive integer, means you multiply \(a\) by 10, \(n\) times. In practice, this means moving the decimal point in \(a\) to the right by \(n\) places, adding zeros as needed.
Step 3: Detailed Explanation:
The number is \(3.7 \times 10^7\).
We need to move the decimal point in 3.7 seven places to the right.
1. Start with 3.7
2. Move 1 place: 37.
3. We need to move 6 more places, so we add 6 zeros after the 7.
\[ 37,000,000 \] So, \(3.7 \times 10^7 = 37,000,000\).
Step 4: Final Answer:
The number 37,000,000 corresponds to option (C).