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Fractions & Decimals


Instructions

For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictures? More detailed pictures? But remember we don't want to do TOO MUCH for the student. If we provide too much information, they will not need to think about what the question is asking.

Consider your problem-solving strategy for each of the following investigations. Is there another strategy that you could use? If so, which strategy would be more appropriate for understanding the concept?


Definition

A number that can be written as a quotient of two quantities is called a fraction. The number above the line in a fraction is called the numerator and it tells how many parts are being talked about or considered. The number below the line in a fraction is called the denominator and it indicates the number of parts in the whole. It tells what kind or size of parts the numerator counts.

Decimals are another way to express fractions in the Hindu-Arabic numeration system. Decimals are based on a base-ten place-value system in which tenths and multiples of tenths are used to represent a number. The use of decimal notation to represent fractions is an extension of the use of place value to represent integers.