The number p is obtained by moving the decimal point 2 places to the left in the positive number n. The number s is obtained by moving the decimal point 1 place to the right in the number n. The number p + s how many × n?
Number n is multiplied by 10.
When the decimal point in a number is moved two places to the left, it is effectively multiplied by 10 twice, resulting in a factor of 100. Similarly, moving the decimal point one place to the right multiplies the number by 10. Therefore, the sum of these two operations, p + s, corresponds to multiplying n by 100 + 10 = 110.
This choice represents a number slightly above 1, which does not align with the multiplication factor of 110 obtained by adding p and s to n. The value of 1.01 does not reflect the correct relationship between n, p, s, and their sum.
The number 10.001 is notably higher than the expected result of multiplying n by 110. This value does not correspond to the sum of the two transformations applied to n and is not consistent with the arithmetic operation required to find p + s.
Since p represents 100n and s represents 10n, adding these values together results in 110n, making the correct choice C, 10.01, the most suitable answer. This number reflects the operation of moving the decimal points in n as described in the question and sums them accurately.
The value of 10.1 does not match the expected sum of 110n, which arises from moving the decimal point in n as specified in the question. This choice does not align with the multiplication factor associated with the transformations of n to obtain p and s.
In this scenario, the correct answer is option C, 10.01. By understanding how moving the decimal point in a number affects its value, we can deduce that p + s equals 110 times n. The sum of these two transformations results in a factor that multiplies the original number n to produce the final value of 10.01.
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