Question

Estimate the value as a product of a single digit and a power of 10.

3,457,000,000

@undeadknight26 can you help me?

Answer 1

@undeadknight26

Answer 2

@Ziegenbein

Answer 3

@thomaster

Answer 4

1,000,000 (one million) is equivalent to \(10^6\), so
\[3,457,000,000=3,457\times10^6\]
Also, \(3,457=3.457\times1,000\), and 1,000 (one thousand) is equivalent to \(10^3\), so
\[\begin{align*}3,457,000,000&=3,457\times10^6\\&=3.457\times10^3\times10^6\\&=3.457\times10^9\end{align*}\]
You wan to estimate with one digit, so you round down:
\[3,457,000,000\approx3\times10^9\]