6th grade Q1

Dividing by 0.001 is the same as dividing by $\frac{1}{1000}$, because $0.001=\frac{1}{1000}$

Dividing by $\frac{1}{1000}$ is the same as multiplying by 1000.

Let's see why, using this example:

Dividing by a fraction is the same as multiplying by the reciprocal. The reciprocal of $\frac{1}{1000}$ is $\frac{1000}{1}$ or $1000$.

So, when you divide a number by 0.001, you can multiply it by 1000 instead.

A way to remember is that dividing by a decimal smaller than 1 makes the number bigger.

This fact makes dividing by 0.001 easy! You just multiply the number by 1000 and you're done.

Recall that multiplying by 1000 shifts the decimal point three places to the right.

Example:

$4.7254÷0.001$

• Instead of dividing by $0.001$, you multiply by $1000$

• $4.7254\times 1000=4725.4$, because you shifted the decimal point one place to the right

So, $4.7254÷0.001=4725.4$