FTCE Fractions, Ratios & Integers Flashcards

FTCE Fractions, Ratios & Integers Flashcards
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Describe how to multiply fractions.

1. Multiply the numerators

2. Multiply the denominators

3. Simplify if necessary

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Define Least Common Denominator
The least common denominator (LCD) is the smallest shared multiple of two or more denominators. For example, given the fractions 3/5 and 1/2, the least common denominator is 10.
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Define Rational Number
Rational numbers can be written as a ratio. They are any number that can be made by dividing one number by another.
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Define Number Line
A number line is a straight line that shows numbers in the correct order. A ruler is an example of a number line.
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Define Rational Exponent
A rational exponent is a fraction, such as 2 ^ 3/4.
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Define Base Number
The base is the number being multiplied by the exponent. For example, in 3^4, 3 is the base.
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Define Exponent
An exponent is a number that tells you how many times to multiply a number by itself. It is written as a superscript or with ^. For example, in 3^4, 4 is the exponent and tells you to multiply three by itself 4 times (3*3*3*3=81)
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Define Mixed Numbers
Mixed numbers are improper fractions written a different way. They are written as a whole number and a proper fraction. For example, 5/3 would instead be written as 1 2/3.
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Define Like and Unlike Fractions
Like fractions are two or more fractions that are the same amount, such as 1/2 and 4/8. Unlike fractions are two or more fractions that are not the same amount, such as 1/2 and 1/3.
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Define Improper Fraction
An improper fraction is one whose numerator is greater than its denominator, such as 5/3.
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Define Proper Fraction
A proper fraction is one whose numerator is smaller than its denominator, such as 3/5.
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Define Denominator
The denominator is the bottom number of a fraction.
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Define Numerator
The numerator is the top number of a fraction.
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Define Fraction
A fraction is a number that show how many parts of a whole there are.
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Define Integer
Integers are all numbers, positive, negative, and zero, that do not have fractions or decimals.
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These flashcards will help students understand the key mathematical concepts involved in fractions, ratios, and integers. They will learn, among other things, how to multiply and divide fractions, what exponents do, and what a decimal number system is.

Front
Back
Define Integer
Integers are all numbers, positive, negative, and zero, that do not have fractions or decimals.
Define Fraction
A fraction is a number that show how many parts of a whole there are.
Define Numerator
The numerator is the top number of a fraction.
Define Denominator
The denominator is the bottom number of a fraction.
Define Proper Fraction
A proper fraction is one whose numerator is smaller than its denominator, such as 3/5.
Define Improper Fraction
An improper fraction is one whose numerator is greater than its denominator, such as 5/3.
Define Like and Unlike Fractions
Like fractions are two or more fractions that are the same amount, such as 1/2 and 4/8. Unlike fractions are two or more fractions that are not the same amount, such as 1/2 and 1/3.
Define Mixed Numbers
Mixed numbers are improper fractions written a different way. They are written as a whole number and a proper fraction. For example, 5/3 would instead be written as 1 2/3.
Define Exponent
An exponent is a number that tells you how many times to multiply a number by itself. It is written as a superscript or with ^. For example, in 3^4, 4 is the exponent and tells you to multiply three by itself 4 times (3*3*3*3=81)
Define Base Number
The base is the number being multiplied by the exponent. For example, in 3^4, 3 is the base.
Define Rational Exponent
A rational exponent is a fraction, such as 2 ^ 3/4.
Define Number Line
A number line is a straight line that shows numbers in the correct order. A ruler is an example of a number line.
Define Rational Number
Rational numbers can be written as a ratio. They are any number that can be made by dividing one number by another.
Define Least Common Denominator
The least common denominator (LCD) is the smallest shared multiple of two or more denominators. For example, given the fractions 3/5 and 1/2, the least common denominator is 10.
Describe how to multiply fractions.

1. Multiply the numerators

2. Multiply the denominators

3. Simplify if necessary

Describe how to divide fractions.

1. Flip, or find the reciprocal, of the second fraction.

2. Multiply the fractions.

3. Simplify if necessary.

Define Decimal Number System
The decimal number system is a base 10 system, which means that it is based on repeating cycles of the 10 numbers from 0-9.
Define Decimal Point
A decimal point is a dot or period (.) written after a number to indicate that there is a fraction of a number added to it.
Define Divisor
The divisor is the number you divide by in a division problem.
Define Dividend
The dividend is the number you divide into in a division problem.
Define Quotient
The quotient is the answer to a division problem.
Define Converting Numbers
Converting a number involves changing it from one format to another, such as a fraction to a percentage.
Define Fraction Strips
Fraction strips are pieces of paper that can be cut or folded to demonstrate fractions in a tangible way.
Define Linear Model of a Fraction
A linear model of a fraction shows the size of a fraction by using a number line.
Define Area Model of a Fraction
The area model of a fraction uses a shape divided into sections (such as a pie) to show the size of a fraction.
Define Set Model of Fraction
A set model of a fraction uses a group of objects divided into different categories to show the size of a fraction. For example, we could divide 7 cars into 3 blue ones and 4 red ones to show that 3/7 of the cars are blue.
Define Ratio
A ratio compares two quantities to each other. For example, we could say that for every 4 flowers, there are 7 trees, so the ratio of flowers to trees is 4:7.
Define Proportion
A proportion tells us that two ratios are equal to one another.
Define Known Ratio
When finding proportions, the known ratio is the ratio where we know both terms.
Define Unknown Ratio
When finding proportions, the unknown ratio is the one where we do not know one of the terms.

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