Question

Everyday Math

583. Coin production In 1942 , the U.S. Mint produced 154,500,000 nickels. Write 154,500,000$in scientific notation.

Answer 1

In 1942 , the U.S. Mint produced 154,500,000 nickels. The scientific notation of 154,500,000 is obtained as
`$1.545 * 10^(8)$`.

Explanation:

• In the problem, it is given that in 1942, the U.S. Mint produced 154,500,000 nickels.

• It is required to write 154,500,000 in scientific notation.

• To solve this first, move the decimal point so that the first factor is greater than or equal to 1 also it should be less than 10.

• Count the number of decimal places n, and write the number as a product with a power of 10. Then check the answer.

Step 1 of 2

Obtain the scientific notation.

Here the original number, 154,500,000 is greater than 1 so we will have a positive power of 10 .

Move the decimal point to get 1.545, a number between 1 and 10 . Then we get,

1.54500000

The count of the number of decimal places the point was moved is 8 .

Write as a product with a positive power of 10 .

`$1.545 * 10^(8)$`

Step 2 of 2

Check the answer.

Rewrite and simplify to check our answer.

`$$\begin{gathered}1.545 * 10^(8)=1.545 * 100000000 \\=154500000\end{gathered}$$`