What is 10 divided by (1 divided by 0.1)?

Question

8233 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-12T16:26:41

$1$ $1$

Let's write this in maths first:

$10 \div (1 \div 0.1)$ $10 div (1 div 0.1)$

$10 \div \frac{1}{0.1}$ $10 div 1/0.1$

We can treat this as a fraction calculation or as a decimal calculation.

As a fraction: To divide, multiply by the reciprocal:

$10 \times \frac{0.1}{1}$ $10 xx 0.1/1$

$= 1$ $= 1$

As a decimal, change the denominator into 1

$10 \div \frac{1 \times 10}{0.1 \times 10}$ $10 div (1xx10)/(0.1 xx10)$

$= 10 \div \frac{10}{1}$ $=10 div 10/1$

$= 10 \div 10 = 1$ $=10 div 10 = 1$