# What is 705470 -: 15010?

Mar 29, 2016

$47$

#### Explanation:

To find an approximation while keeping the arithmetic a little easier, divide $705$ by $15$:

$705 = 600 + 105 = \left(40 \cdot 15\right) + \left(7 \cdot 15\right) = 47 \cdot 15$

So: $\frac{705}{15} = 47$

To see how close we are, try:

$15010 \cdot 47 = \left(\left(15 \cdot 47\right) \cdot 1000\right) + \left(10 \cdot 47\right) = 705000 + 470 = 705470$