Free Algebra Tutorials!
Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Calculations with Hundreds and Thousands

## Question: What is the value of 2000 Ã— 300 ?

 Misconception There are several possible common incorrect answers including 60 000 or 6 000 000 Correct As 2 Ã— 3 = 6 and 1000 Ã— 100 = 100000 then 2000 300 600000

## Further Explanation

As before there is only one answer and it is completely logical! We will build on previous\par knowledge to get the answer; you know, for example, that}\par }

10 Ã— 10 = 100

10 Ã— 100 = 1 000

10 Ã— 1 000 = 10 000

10 Ã— 10 000 = 100 000

and so on. Hence it is easy to see that}\par }

100 Ã— 1 000 = 10 Ã— 10 Ã— 1 000 = 10 Ã— 10 000 = 100 000

and similarly

1000 Ã— 100 = 100 000

We can use this result, but we first note that we can write 2000 and 300 as

2 000 = 2 Ã— 1 000 and 300 = 3 Ã— 100

This gives

2 000 Ã— 300 = (2 Ã— 1 000) Ã— (3 Ã— 100)

= 2 Ã— 1 000 Ã— 3 Ã— 100

and, as the order of multiplication does not matter, we can rewrite this as

2 000 Ã— 300 = 2 Ã— 3 Ã— 1 000 Ã— 100

= (2 Ã— 3) Ã— (1 000 Ã— 100)

= 6 Ã— 100 000

= 600 000