Definition:

An equivalent number refers to numbers that have the same value but may be represented in different forms.

Examples:

1. Fractions: 1/2 and 2/4 are equivalent because they represent the same amount of a whole.

2. Decimals: 0.5 and 0.50 are equivalent because they represent the same value.

3. Percentages: 50% and 0.5 are equivalent because they represent the same portion of a whole.

Practice Problems:

1. Determine if the following pairs of numbers are equivalent:

a) 3/4 and 6/8

b) 0.25 and 1/4

c) 75% and 0.75

Solution:

a) To determine if 3/4 and 6/8 are equivalent, we can simplify the fractions. Both fractions reduce to 3/4, so they are equivalent.

b) To determine if 0.25 and 1/4 are equivalent, we can convert 0.25 to a fraction: 0.25 = 25/100 = 1/4. Therefore, 0.25 and 1/4 are equivalent.

c) To determine if 75% and 0.75 are equivalent, we can convert 75% to a decimal: 75% = 0.75. Therefore, 75% and 0.75 are equivalent.

Conclusion:

Understanding equivalent numbers allows us to compare and manipulate numbers in different forms, such as fractions, decimals, and percentages. Practice identifying and working with equivalent numbers to strengthen your understanding of this important mathematical concept.