What is the relationship between the value of the 4 in 3,642 and the value of the 4 in 5,401?

The 4 in the number 5,401 is 10 times greater than the 4 in the number 3,642.

In the number 3,642 the number 4 is in the Tens Place.

In the number 5,401 the number 4 is in the Hundreds Place.

Tens < Hundreds

40 < 400

Q: How do we know it's 10 times greater?

A: Multiply!

You multiply 40×10 and get 400! To see if the answer is right divide 400÷40 and get 10. Or divide 400÷10 and get 40.

Basically, when you're multiplying something by 10 you just add a 0. When you divide by 10 you remove a 0.

That's how the number 4 in 5,401 is 10 times greater than the number 4 in 3,642.