Solve $22.83 \times 10^4=$
Answer (2)
To solve 22.83 t im es 1 0 4 :
Recognize that 1 0 4 equals 10 , 000 .
Multiply 22.83 by 10 , 000 by moving the decimal point four places to the right.
Obtain the result 228 , 300 .
The final answer is 228 , 300 .
Explanation
Understanding the Problem We are asked to evaluate the expression 22.83 t im es 1 0 4 . This involves multiplying a decimal number by a power of 10.
Performing the Multiplication To evaluate 22.83 t im es 1 0 4 , we need to multiply 22.83 by 10 , 000 since 1 0 4 = 10 , 000 . Multiplying a decimal by 10 , 000 is equivalent to moving the decimal point four places to the right.
Moving the Decimal Point Starting with 22.83 , we move the decimal point four places to the right. This gives us 228300 .
Final Result Therefore, 22.83 t im es 1 0 4 = 228 , 300 .
Examples
Understanding powers of 10 and decimal multiplication is crucial in many real-world scenarios. For instance, when dealing with large numbers in science, such as calculating distances in space or the size of microscopic objects, we often use scientific notation involving powers of 10. In finance, understanding how interest rates (often expressed as decimals) affect investments over time requires similar calculations. This skill is also essential in everyday tasks like converting units or understanding large quantities presented in the news.
To find the product of 22.83 × 1 0 4 , recognize that 1 0 4 = 10 , 000 . Multiply 22.83 by 10 , 000 , effectively moving the decimal point four places to the right, resulting in 228 , 300 . Therefore, the answer is 228 , 300 .
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