Question

Express each of the following numbers in scientific notation with correct significant figures:

(a) 711.0
(b) 0.239
(c) 90743
(d) 134.2
(e) 0.05499
(f) 10000.0
(g) 0.000000738592

Answer 1

To express numbers in scientific notation with correct significant figures, we move the decimal point to create a new number between 1 and 10, then multiply by 10 raised to the power of the number of places the decimal point was moved. Examples include 7.110 × 102 for 711.0 and 2.39 × 10-1 for 0.239.

Step-by-step explanation:

To express each number in scientific notation with correct significant figures, we will follow the format of A × 10n, where A is a number greater than or equal to 1 and less than 10, and n is an integer.

(a) 711.0 in scientific notation is 7.110 × 102

(b) 0.239 in scientific notation is 2.39 × 10-1

(c) 90743 in scientific notation is 9.0743 × 104

(d) 134.2 in scientific notation is 1.342 × 102

(e) 0.05499 in scientific notation is 5.499 × 10-2

(f) 10000.0 in scientific notation is 1.0000 × 104

(g) 0.000000738592 in scientific notation is 7.38592 × 10-7

Answer 2

A) 7.110 x 10^2
B) 2.39 x 10^-1
C) 9.0743 x 10^4
D) 1.342 x 10^2
E) 5.499 x 10^-2
F) 1.00000 x 10^4
G) 7.38592 x 10^-7