Which of the following is the long notation for 3.45 x 10^10? A 3,450,000,000 B 345,000,000,000 C 34,500,000,000

C. 34,500,000,000

Explanation:

Firstly, 3.45 x 10^10 is said to be in a standard form, which is a simpler way to write relatively large or small numbers. Standard forms make use of powers of ten, which means that how many tens can be found in such number.

The power of ten of a small number is written with a negative sign. For example; 0.004 is written as 4 × 10^-3 while the power of ten of a large number is written with a positive sign. For example; 3.45 x 10^10 means the number is large.

In order to convert a standard notation to an expanded notation, one moves the decimal point to the right by the number of times indicated on the index. For example, 3.45 x 10^10 is written as 34,500,000,000 in long notation form by moving the decimal point to the right 10 times (as indicated on the index). A zero (0) is used to fill the blank spaces when moving the decimal point.

Hence, a standard notation of 3.45 x 10^10 can be written as 34,500,000,000 in long or expanded notation. This figure is 34 trillion, 500 million.