What is the standard form for the power of 10 below?
[tex]$10^4$[/tex]
Answer (2)
Calculate 1 0 4 by multiplying 10 by itself 4 times.
1 0 4 = 10 × 10 × 10 × 10 = 10000 .
The standard form of 1 0 4 is 10000.
Therefore, the final answer is 10000 .
Explanation
Understanding the Problem We are asked to find the standard form of 1 0 4 . This means we need to calculate the value of 10 raised to the power of 4.
Calculating the Power To calculate 1 0 4 , we multiply 10 by itself 4 times: 1 0 4 = 10 × 10 × 10 × 10 .
Result Performing the multiplication, we have: 10 × 10 = 100 100 × 10 = 1000 1000 × 10 = 10000 Therefore, 1 0 4 = 10000 .
Final Answer The standard form of 1 0 4 is 10000.
Examples
Understanding powers of 10 is crucial in many real-world scenarios, such as calculating large distances in space or representing computer memory. For instance, if a computer has 10^4 bytes of memory, it means it has 10,000 bytes. This concept helps in grasping the scale of measurements and data storage.
The standard form of 1 0 4 is 10000 . To find this, we multiply 10 by itself four times, resulting in 10000. This is an important concept in understanding powers of ten.
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