In the term "3.0 x 10 to the 8", what does the mantissa refer to?

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In scientific notation, the term "3.0 x 10 to the 8" consists of two main components: the mantissa and the exponent. The mantissa is the part of the number that precedes the multiplication by the base (which is 10 in this case). It represents a significant digit value.

In this example, "3.0" is the mantissa because it provides the significant figures of the number. The notation indicates that this number is being scaled by a power of ten, represented by "10 to the 8." The exponent (which is 8 here) tells us how many places to move the decimal point in the mantissa to determine the actual value. The mantissa does not include the base or the exponent; it is solely concerned with the digits that contribute to the value of the number. Hence, "3.0" is the part that represents the significant value, confirming that the correct answer is indeed the mantissa.

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