# How do you write 3.141 in expanded notation?

Oct 20, 2016

$3 \times 1 + 1 \times \frac{1}{10} + 4 \times \frac{1}{100} + 1 \times \frac{1}{1000}$

#### Explanation:

In expanded notation each digit is written as a product of the digit and the place value that it occupies.

The 3 is in the 1's place a whole number.
The first 1 is in the tenth's place (0.1) or 1/10
the 4 is in the hundredth's place (0.01) or 1/100
The second 1 is in the thousandth's place (0.001) or 1/1000

so $3 \times 1 + 1 \times \frac{1}{10} + 4 \times \frac{1}{100} + 1 \times \frac{1}{1000}$