# How do you write 437.04 in expanded form?

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Feb 11, 2017

#### Answer:

$437.04$ in expanded form is $4 \times {10}^{2} + 3 \times {10}^{1} + 7 \times {10}^{0} + \frac{0}{10} + \frac{4}{10} ^ 2$

#### Explanation:

Any decimal can be expanded in the form of powers of $10$.

As in $437.04$, first four is four hundreds or $400$, then $3$ is $3$ tens or $30$, $7$ ones, $0$ one-tenths and $4$ hundredths, we can write $437.04$ as

$437.04 = 400 + 30 + 7 + \frac{0}{10} + \frac{4}{100}$ or

$4 \times {10}^{2} + 3 \times {10}^{1} + 7 \times {10}^{0} + \frac{0}{10} + \frac{4}{10} ^ 2$

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