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What is the normal number of $1.2 \times 10^{1}$?

The standard form of the number 1.2×1011.2 \times 10^1 is 1212.

To understand why 1.2×1011.2 \times 10^1 equals 1212, we should break down the components of this expression. In this case, 1.21.2 is known as the coefficient, while 10110^1 represents the base 1010 raised to the power of 11. Scientific notation utilizes base 1010 to represent both very large and very small numbers in a more convenient format. The exponent, which is 11 in this instance, indicates how many times we should multiply the base 1010 by itself.

When the exponent is 11, it signifies that we multiply 1010 by itself just once, resulting in 1010. In mathematical terms, we can express this as:

101=1010^1 = 10

Next, we multiply the coefficient 1.21.2 by 1010:

1.2×10=121.2 \times 10 = 12

Thus, the standard (or normal) form of 1.2×1011.2 \times 10^1 is indeed 1212. This conversion from scientific notation to standard form involves multiplying the coefficient by 1010 raised to the specified power. This approach is particularly useful for simplifying calculations and for expressing extremely large or small numbers in a more manageable way.

Answered by: Prof. Michael Lewis
IB Physics Tutor
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