Question

Tim needs help writing 26.013 in expanded form using powers of ten. Write the number in each box that will correctly complete the expanded form of the number.

Answer 1

Answer: $26.013 = 20+6+10^{-2}+3\times 10^{-3}$ is the required expanded form.

Step-by-step explanation:

Given number : 26.013

In expanded form it can be written as

$26.013 = 20 + 6 + 0.1 + 0.003$

$=20+6+\dfrac{1}{100}+\dfrac{3}{1000}$

Since  $\dfrac{1}{100}=10^{-2},\ \ \ \dfrac{1}{1000}=10^{-3}$

So, $26.013 =20+6+10^{-2}+3\times 10^{-3}$

Hence, $26.013 = 20+6+10^{-2}+3\times 10^{-3}$ is the required expanded form.