What is the value of 5.7 x 10^8?
A) 5.70000000
B) 5,700,000,000
C) 57,000,000
D) 570,000,000
Answer (2)
We are asked to calculate the value of 5.7 × 108 .
Multiplying 5.7 by 100,000,000 gives us 570,000,000.
Comparing the result with the given options, we find that option OD) 570,000,000 is the correct answer.
Therefore, the value of 5.7 × 108 is 570 , 000 , 000 .
Explanation
Understanding the Problem We are asked to find the value of 5.7 × 108 . This means we need to multiply 5.7 by 100,000,000.
Performing the Calculation To calculate 5.7 × 108 , we can perform the multiplication:
5.7 × 108 = 5.7 × 100 , 000 , 000 = 570 , 000 , 000
Identifying the Correct Option Now, we compare the result with the given options:
A) 5.70000000 B) 5,700,000,000 OC) 57,000,000 OD) 570,000,000
The correct option is OD) 570,000,000.
Final Answer Therefore, the value of 5.7 × 108 is 570,000,000.
Examples
Understanding scientific notation is crucial in fields like astronomy, where distances are vast. For instance, the distance to a star might be expressed as 4.5 × 1 0 13 kilometers. This notation simplifies handling extremely large numbers, making calculations and comparisons more manageable. Similarly, in nanotechnology, dealing with incredibly small sizes, such as 2.3 × 1 0 − 9 meters, becomes easier with scientific notation. This skill is also useful in everyday calculations, such as converting currencies or understanding large sums of money.
The value of 5.7 × 1 0 8 is calculated to be 570,000,000. The correct answer is option D) 570,000,000.
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