Question

Write the following Arabic numbers as Roman numerals. 150 ______

Short answer

150 in Roman numerals is CL.

Step-by-step solution

Identify Place Values

To convert the Arabic number 150 to Roman numerals, first, identify the place values. This number consists of 100 (hundreds place) and 50 (tens place).

Convert Hundreds Place

The hundreds place in the number 150 is 100. In Roman numerals, 100 is represented as 'C'.

Convert Tens Place

The tens place is 50. In Roman numerals, 50 is represented as 'L'.

Combine Roman Numerals

Combine the Roman numerals for the hundreds and tens places. Therefore, 150 in Roman numerals is 'CL'.

Key concepts

Arabic numbers

Arabic numbers are the most common numerical system used worldwide. They are the familiar digits 0 through 9 and allow us to write numbers efficiently and clearly. Each digit in an Arabic number represents a different value based on its position or place value. For instance, in the number 150, the digit '1' holds a different value than the digit '5' or '0'. This positional value system makes it easy to represent large numbers and perform arithmetic operations.

Place values

Place values are crucial for understanding numbers and their meanings. Every digit in a number has a place value depending on its position. For example, in the number 150:

• The '1' is in the hundreds place, which means it represents 100.
• The '5' is in the tens place, so it represents 50.
• The '0' is in the units place, equating to 0 in this case.

Each place value is ten times the value of the place to its right. Understanding place values helps us break down complex numbers into manageable parts, making conversion to other numeral systems easier.

Conversion steps

Converting Arabic numbers to Roman numerals involves several clear steps.

• First, identify the place values of the digits in the Arabic number. For 150, this involves analyzing both the hundreds and tens places.
• Next, convert each place value separately into Roman numerals. For the number 150, you convert '1' from the hundreds place to 'C', and '5' from the tens place to 'L'.
• Then, you combine all these individual Roman numerals to form the final number. Hence, 150 becomes 'CL'.

By following these steps systematically, the process is straightforward and logical.

Mathematics education

Mathematics education not only involves learning arithmetic but also understanding different numeral systems like Roman numerals. This knowledge enhances cognitive skills and ensures a well-rounded numerical literacy. Incorporating Roman numerals exercises into mathematics learning has several benefits:

• It helps students comprehend how numerals were used historically, enhancing historical context comprehension.
• Students develop skills in pattern recognition and memorization by learning Roman numeral rules and exceptions.
• This exercise strengthens a student's ability to perform cross-numerical system conversions, fostering flexible thinking.

Teaching conversions between different numeric systems in educational settings underlines the universal applicability of arithmetic skills.