🛠️ How to Use This Tool

Choose decimals, fractions, percents, mixed rational numbers, or a misconception set. Then arrange the four cards from least to greatest.

Drag one card and drop it onto another card to change its position. You can also click a card to swap it with the next card.

Select Check Order when you are ready. Use Show Equivalent Values to compare each rational number in decimal and percent form.

🧠 Things to Notice

Converting fractions, decimals, and percents into the same form makes their values easier to compare.

The values \(0.2\), \(\frac{1}{5}\), and \(20\%\) look different, but they all represent the same rational number.

Pay close attention to place value. For example, \(0.2=20\%\), while \(0.02=2\%\).

Rational Number: A number that can be written as a fraction of two integers. Fractions, terminating decimals, repeating decimals, and percents can represent rational numbers.

Fraction: A number written in the form \(\frac{a}{b}\), where \(b\neq0\).

Decimal: A number represented with place value and a decimal point.

Percent: A ratio that compares a quantity to 100. The symbol \(\%\) means “per hundred.”

Equivalent Values: Different representations of the same quantity, such as \(\frac{1}{2}\), \(0.5\), and \(50\%\).

Mixed Number: A number made from a whole number and a fraction, such as \(2\frac{1}{4}\).

Ascending Order: Arranging numbers from least to greatest.

Descending Order: Arranging numbers from greatest to least.

Number Sense: The ability to understand, compare, estimate, and reason about numbers.

Comparison example: To compare \(\frac{2}{3}\), \(0.6\), and \(65\%\), convert them to decimals: \(\frac{2}{3}\approx0.667\), \(0.6=0.600\), and \(65\%=0.650\). Therefore, \(0.6<65\%<\frac{2}{3}\).

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