Question

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?

Answer 1

Answer:

$4.902 = 4*1 + 9/10 + 0/100 + 2/1000$  

Step-by-step explanation:

Concept:

Any number can be written in the form of its digits place in the multiples of 10.

It means if there is a number called 234. Here 4 is units place so multiply by $10^0$ which is equal to 1. Then multiply 3 with $10^1$ which is equal to 10 and finally 2 with $10^2$ which is 100.

i.e, 2*100 + 3*10 + 4*1 is the expanded form.

Similarly, for numbers after decimal point we divide by 10 instead of multiplying.

Given:

4.902 to be written in expanded form

Explaination:

4.902

Here 4 is in units place and 9,0,2 are after the decimal. So by applying our concept multiply 4 by $10^0$ and divide 9 by $10$ , divide 0 by $10^2$, divide 2 by $10^3$  which gives us

$4*1 + 9/10 + 0/100 + 2/1000$