Question

Choose the correct scientific notation for the following numbers:

0.0000578
-7
5.78 x 10
-7
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 1

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.

Step-by-step 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