Question

How do you write 437.04 in expanded form?

Answer 1

In this question, we have to expand the number 437.04. For that, we will first identify the position of every digit in the number like units, tens and hundreds place. We know that the place value of a digit at one’s place is 1, at tens place is 10, at hundreds place is 100, the place value of digits after the decimal are –
Place value of digit at the tenth place is $\dfrac{1}{{10}}$ and place value of the digit at the
hundredth place is $\dfrac{1}{{100}}$ . so, on identifying the position of the digits, we multiply the digits with their place value and then add them to get the expanded form of the given number.

Complete step by step answer:
In the number 437.04,
7 is at one’s place, so its place value is 1
3 is at tens place, so its place value is 10
4 is at hundreds place, so its place value is 100
0 and 4 are after the decimal, 0 is at tenth place so its place value is $\dfrac{1}{{10}}$ and 4 is at hundredth place, so its place value is $\dfrac{1}{{100}}$ .
Thus, the given number can be written as –
$437.04 = 4 \times 100 + 3 \times 10 + 7 \times 1 + 0 \times \dfrac{1}{{10}} + 4 \times \dfrac{1}{{100}}$
Hence, the expanded form of the number 437.04 is $400 + 30 + 7 + \dfrac{0}{{10}} + \dfrac{4}{{100}}$

Note:
The mathematical notation using which we can express a number as the sum of the values of each digit in the number is known as its expanded form. The expanded form can be also be written using the powers of 10, we know that 10 multiplied with itself is written as 10 raised to the 2 so the expanded form of the given number can also be written as - $437.04 = 4 \times {10^2} + 3 \times {10^1} + 7 \times {10^0} + \dfrac{0}{{{{10}^1}}} + \dfrac{4}{{{{10}^2}}}$ .