Identifying the Odd Decimal or Fraction Term

The question asks us to find the term that is different in value from the others in the given list: 0.02, 0.020, 2/100, and 0.002. To do this, we need to compare the numerical value of each term. It's easiest to convert all terms to the same format, such as a decimal.

Converting Terms to Decimal Form

Let's look at each term one by one and convert it to its decimal equivalent:

• Term 1: 0.02

  This term is already in decimal form. Its value is twenty hundredths.

• Term 2: 0.020

  This term is also in decimal form. Adding a zero at the end of a decimal number after the last non-zero digit does not change its value. So, 0.020 is equivalent to 0.02.

• Term 3: 2/100

  This term is a fraction. To convert a fraction to a decimal, we divide the numerator by the denominator. So, we divide 2 by 100.

  \(\frac{2}{100} = 0.02\)

  The value is twenty hundredths.

• Term 4: 0.002

  This term is in decimal form. Its value is two thousandths.

Comparing the Values

Now let's list the decimal values we found:

• 0.02 \(= 0.02\)
• 0.020 \(= 0.02\)
• 2/100 \(= 0.02\)
• 0.002 \(= 0.002\)

Comparing these values, we see that the first three terms (0.02, 0.020, and 2/100) all have the value 0.02. The fourth term, 0.002, has a different value.

Identifying the Odd Term

Based on the comparison, the term with a different value is 0.002. Therefore, 0.002 is the odd term out.

Revision Table: Understanding Decimals and Fractions

Additional Information: Equivalent Decimals

It's important to understand that adding zeros to the right of the last digit after the decimal point does not change the value of the decimal number. For example:

• 0.5 is the same as 0.50, 0.500, and so on. They all represent five tenths.
• 0.75 is the same as 0.750, 0.7500, etc. They all represent seventy-five hundredths.

This concept was used to determine that 0.02 is equivalent to 0.020.