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In Mathematics / College | 2025-07-07

Which of the following is the same as $8.4 \times 10^2 ?$
A) 8,400
B) .84
C) 84
D) 840

Asked by ghost10175

Answer (1)

Calculate the value of the expression: 8.4 × 1 0 2 = 840 .
Compare the result with the given options.
Identify the correct option that matches the calculated value.
The correct option is D) 840, so the answer is 840 ​ .

Explanation

Understanding the problem We are asked to find the value of 8.4 × 1 0 2 and determine which of the given options is equal to it.

Calculating the value To find the value of 8.4 × 1 0 2 , we need to multiply 8.4 by 1 0 2 , which is 100.

Performing the multiplication 8.4 × 1 0 2 = 8.4 × 100 = 840

Comparing with the options Now, we compare the result, 840, with the given options: A) 8,400 B) .84 C) 84 D) 840 We can see that option D) 840 is the same as our result.


Examples
Understanding scientific notation helps in various fields like physics and astronomy. For example, the speed of light is approximately 3 × 1 0 8 meters per second. This notation simplifies handling very large or very small numbers, making calculations and comparisons easier. In everyday life, it can be used to represent large amounts of money or populations in a concise way.

Answered by GinnyAnswer | 2025-07-07