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RATIOS (unit rates (Example 6miles to 3 hours. (unit rates definition,…
RATIOS
unit rates
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percent
definition percent, one in every hundred.
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rates
The numbers or measurements being compared are called the terms of the ratio. A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. The first term of the ratio is measured in cents; the second term in ounces.
For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. The first term of the ratio is measured in cents; the second term in ounces.
simplest form
definition, When the numerator and denominator cant get smaller but still equivalent.
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double number line
Double number line diagrams are best used when the quantities have different units. Double number line diagrams can help make visible that there are many, even infinitely many, pairs of numbers in the same ratio—including those with rational number entries. As in tables, unit rates (R) appear in the pair (R, 1).
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how to write ratios
The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
coordinate plane
a plane spanned by the x-axis and y-axis in which the coordinates of a point are its distances from two intersecting perpendicular axes; also called Cartesian Plane, Cartesian Coordinate System. The position of a point in the coordinate plane is determined by its distance from the axes.
Tape diagrams
Tape diagrams are visual models that use rectangles to represent the parts of a ratio. Since they are a visual model, drawing them requires attention to detail in the setup. In this problem bob and bobby have numbers of marbles in a ratio of 2:3.
equivalent ratios
It can be written two ways; for example, 1:10 or 1/10. Equivalent ratios (which are, in effect, equivalent fractions) are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number.
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