As $100=10\cdot 10$, multiplying by $100$ is the same as multiplying by $10$ twice. That means you move the point two places to the right.

Rule

When you multiply a number by $100$, you move the point in the number two places to the right.

Bootcamps

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If the number you are multiplying by $100$ isn’t a decimal number, you have to remember that there’s an invisible point after the last digit. By moving that point two places to the right, you get two empty places. In both of these places you can put a $0$.

The trick of moving the decimal point when multiplying by 100, is similar to a trick you can use when dividing by 100.

Example 1

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- a)
$$61\cdot 100=6100$$ - b)
$$\text{}763.4\text{}\cdot 100=\text{}76\phantom{\rule{0.17em}{0ex}}340\text{}$$ - c)
$$20\cdot 100=2000$$ - d)
$$\text{}0.4\text{}\cdot 100=40$$ - e)
$$65\cdot 100=6500$$ - f)
$$\text{}36.98\text{}\cdot 100=3698$$ - g)
$$71\cdot 100=7100$$ - h)
$$\text{}0.04\text{}\cdot 100=4$$

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