6th grade Q1

Dividing by 0.1 is the same as dividing by $\frac{1}{10}$, because $0.1=\frac{1}{10}$

Dividing by $\frac{1}{10}$ is the same as multiplying by 10.

Let's see why, using this example:

Dividing by a fraction is the same as multiplying by the reciprocal. The reciprocal of $\frac{1}{10}$ is $\frac{10}{1}$ or $10$.

So, dividing by 0.1 is the same as multiplying by 10.

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

This fact makes dividing by 0.1 easy! You just multiply the number by 10 and you're done.

Recall that multiplying by 10 shifts the decimal point one place to the right.

Example:

$4.7254÷0.1$

• Instead of dividing by $0.1$, you multiply by $10$

• $4.7254\times 10=47.254$, because you shifted the decimal point one place to the right

So, $4.7254÷0.1=47.254$