Question

The expanded form of 200.002 is

• A. $(2\times 100)+(0\times 10)+(0\times 1)+(0\times \frac{1}{10})+(0\times \frac{1}{100})+(2\times \frac{1}{1000})$
• B. $(2\times 100)+(0\times 10)+(0\times 1)+(0\times 10)+(0\times 100)+(2\times \frac{1}{1000})$

Answer 1

The correct option is A $(2\times 100)+(0\times 10)+(0\times 1)+(0\times \frac{1}{10})+(0\times \frac{1}{100})+(2\times \frac{1}{1000})$

First, let us plot the number in a place value chart.
Place Value Chart

H	T	O	.	t	h	th
2	0	0	.	0	0	2

The expanded form is obtained by multiplying the face values with respective place values and adding them.

The expanded form of the number is

$(2\times 100)+(0\times 10)+(0\times 1)+(0\times \frac{1}{10})+(0\times \frac{1}{100})+(2\times \frac{1}{1000})$