How many places will the decimal point move when solving the division problem 119.25 ÷ 100. How do you know you are correct?

Answer 1

To solve the division problem \( 119.25 \div 100 \), we need to understand how the division by 100 affects the decimal point.

When you divide a number by 100, you move the decimal point two places to the left.

1. Starting number: \( 119.25 \)
2. Move the decimal point:
   • Move 1 place to the left: \( 11.925 \)
   • Move 2 places to the left: \( 1.1925 \)

Thus, \( 119.25 \div 100 = 1.1925 \).

To confirm this, you can also multiply the result by 100: \[ 1.1925 \times 100 = 119.25 \] This verifies that our division and placement of the decimal point were correct.

Conclusion: The decimal point moves 2 places to the left when solving \( 119.25 \div 100 \).