6th grade Q1

Dividing by 0.01 is the same as dividing by $\frac{1}{100}$, because $0.01=\frac{1}{100}$

dividing by $\frac{1}{100}$ is the same as multiplying by 100.

Let's see why, using this example:

Dividing by a fraction is the same as multiplying by the reciprocal. The reciprocal of $\frac{1}{100}$ is $\frac{100}{1}$ or $100$.

So, when you divide a number by 0.01, you can multiply it by 100 instead.

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

This fact makes dividing by 0.01 easy! You just multiply the number by 100 and you're done.

Recall that multiplying by 100 shifts the decimal point two places to the right.

Example:

 
$4.7254÷0.01$

• Instead of dividing by $0.01$, you multiply by $100$

• $4.7254\times 100=472.54$, because you shifted the decimal point one place to the right

So, $4.7254÷0.01=472.54$