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Gabi is converting 0.000098 into scientific notation as shown below. Which correctly represents the missing power of 10? 9.8 x 10?

a) -6
b) -5
c) -4
d) -3

1 Answer

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Final answer:

To convert 0.000098 into scientific notation, move the decimal point 4 places to the right. The missing power of 10 is -4. Therefore, the correct representation is 9.8 x 10^-4 (option c).

Step-by-step explanation:

To convert the number 0.000098 into scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left. In this case, we need to move the decimal point 4 places to the right, resulting in the number 9.8. To determine the power of 10, we count the number of places we moved the decimal point. In this case, we moved it 4 places to the right, so the missing power of 10 is -4. Therefore, the correct representation is 9.8 x 10-4 (option c).

Gabi is converting the number 0.000098 into scientific notation. To do this correctly, one must count the number of places the decimal point is moved to the right to get a number between 1 and 10. Since the decimal point must be moved to the right five places to change 0.000098 to 9.8, the correct representation of the missing power of 10 is 10 to the power of negative five (10-5).

Hence, the number 0.000098 in scientific notation is 9.8 × 10-5.

User Sangram Shivankar
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