High School

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Choose the correct scientific notation for the following numbers:

1. 0.0000578
2. -7
3. 5.78 x 10
4. -7
5. 578 x 10

A. 5.78 x 10^-5, -7, 5.78 x 10^1, -7 x 10^0, 5.78 x 10^2

B. 5.78 x 10^-6, -7 x 10^0, 5.78 x 10^1, -7 x 10^0, 5.78 x 10^2

C. 5.78 x 10^-5, -7 x 10^0, 5.78 x 10^1, -7 x 10^-1, 5.78 x 10^2

D. 5.78 x 10^-6, -7 x 10^0, 5.78 x 10^1, -7 x 10^-1, 5.78 x 10^2

Answer :

Final answer:

Convert a number into scientific notation, we need to move the decimal point to create a number between 1 and 10. The exponent will be the number of places the decimal point was moved.

Explanation:

To convert a number into scientific notation, we need to move the decimal point to the right or left to create a number between 1 and 10. The exponent will then be the number of places the decimal point was moved. For the given numbers:


a. 7.11 × 10-2 = 0.0711


b. 9.18 × 102 = 918


c. 3.09 x 100 = 3.09


a. 8.09 × 102 = 809


b. 3.088 × 10-5 = 0.00003088


c. -4.239 × 102 = -423.9


a. 2.87 × 10-8 = 0.0000000287


b. 1.78 x 1011 = 178,000,000,000


c. 1.381 x 10-23 = 0.00000000000000000000001381

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