To compare ratios, compare the products of the outer terms by the inner terms.
they both have the same ratios
You can use tables to organize pairs of values that represent different rates of change, clearly showing how one quantity changes in relation to another. Tape diagrams visually represent these relationships, allowing you to compare lengths that correspond to different rates, making it easier to see proportional differences. A double number line can effectively illustrate how two quantities change simultaneously, helping to identify equivalent ratios at a glance. Together, these tools provide a clear visual and numerical framework for analyzing and comparing rates of change.
There are no ratios that can be used for triangles that are not similar.
Ratios are used to compare numbers. When you're working with ratios, it's sometimes easier to work with an equivalent ratio.
To use ratio tables for comparing ratios, first, create a table that lists the values of each ratio in corresponding rows. For example, if you're comparing the ratios of apples to oranges and bananas to grapes, list the quantities of each in separate columns. By filling in the table with equivalent values (e.g., scaling each ratio to a common denominator), you can easily see which ratio is greater or if they are equivalent. This visual representation helps clarify the relationships between the ratios at a glance.
To compare ratios, compare the products of the outer terms by the inner terms.
they both have the same ratios
You can use tables to organize pairs of values that represent different rates of change, clearly showing how one quantity changes in relation to another. Tape diagrams visually represent these relationships, allowing you to compare lengths that correspond to different rates, making it easier to see proportional differences. A double number line can effectively illustrate how two quantities change simultaneously, helping to identify equivalent ratios at a glance. Together, these tools provide a clear visual and numerical framework for analyzing and comparing rates of change.
There are no ratios that can be used for triangles that are not similar.
Ratios are used to compare numbers. When you're working with ratios, it's sometimes easier to work with an equivalent ratio.
At constant temperature and pressure the ratios are equal.
yes
You can compare the ounces.
To determine if two ratios form a proportion, you can use cross-multiplication. If the cross-products of the ratios are equal, the ratios are proportional. For example, for the ratios ( \frac{a}{b} ) and ( \frac{c}{d} ), if ( a \times d = b \times c ), then the two ratios form a proportion. Additionally, you can also compare the decimal values of the ratios; if they are equal, they are proportional.
Treat the ratios as fractions. One way you can compare them is to convert them to decimal (divide the numerator by the denominator, or the first number of the ratio by the second number), then compare. Another way is to find a common denominator, then compare the numerators.
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