Question

1 square kilometers =10000000000 square centimeters. Express it in scientific notation.

Answer 1

1 square kilometer = 1.0 x
`10^(10)` square centimeters

Explanation:

To express 1 square kilometer in scientific notation, we need to represent the value as a number between 1 and 10 multiplied by a power of 10.

1 square kilometer = 10,000,000,000 square centimeters

In scientific notation, this is written as:

1 square kilometer = 1.0 x
`10^(10)` square centimeters

(Easy way to do positive multiples of 10s are to count the number of 0's)

Answer 2

`\boxed{\sf \textsf{1 square kilometer = }1.0 * 10^(10) \textsf{ square centimeters }}`

Explanation:

In order to express 1 square kilometer in scientific notation, we need to write it as a number between 1 and 10 (the coefficient) multiplied by a power of 10 (the exponent). In this case:

`\sf \textsf{1 square kilometer = }1,000,000\textsf{ square meters }`

(since 1 kilometer = 1000 meters, and area is measured in square units).

`\textsf{1 square meter = } \sf 10,000 \textsf{ square centimeters }`

(since 1 meter = 100 centimeters, and area is measured in square units).

Therefore,

`\textsf{1 square kilometer = }1,000,000 * 10,000 \\= 10,000,000,000 \textsf{ square centimeters.}`

Now, we can express this in scientific notation:

`\boxed{\sf \textsf{1 square kilometer = }1.0 * 10^(10) \textsf{ square centimeters }}`