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The problem you're dealing with is asking for the conversion of the decimal number \( 120_{10} \) into its hexadecimal equivalent, which is base 16.

### Conversion Process:
1. Start by dividing the decimal number 120 by 16.
   - \( 120 \div 16 = 7 \) (quotient), with a remainder of \( 8 \).
   
   So, we write down the remainder, \( 8 \), as the least significant digit (rightmost).

2. Now, take the quotient \( 7 \), and divide by 16.
   - \( 7 \div 16 = 0 \) (quotient), with a remainder of \( 7 \).

Since the quotient is now \( 0 \), the process ends here.

### Hexadecimal Result:
Reading the remainders from top to bottom, \( 120_{10} = 78_{16} \).

If you have any questions or need further details, feel free to ask!

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Here are 5 related questions for further exploration:

1. How do you convert a hexadecimal number back to a decimal number?
2. What is the binary equivalent of \( 120_{10} \)?
3. How would you convert a large decimal number, such as \( 1024_{10} \), to hexadecimal?
4. Why is hexadecimal used in computer systems instead of decimal?
5. What is the hexadecimal representation of fractional decimal numbers?

**Tip:** When converting between number systems, always remember to work from right to left with the remainders!

Convert 120 (base 10) to hexadecimal (base 16).

Learn how to convert the decimal number 120 into its hexadecimal equivalent using step-by-step division. The conversion process involves dividing by 16 and reading the remainders to get the result of 78 (base 16). Suitable for Grades 7-10.

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