Math Problem Statement

Match each one please

Match each one please

Solution

Let's match each term with its corresponding definition.

  1. Ratio - A comparison of two quantities by division.

    • Ratios compare two quantities by showing how many times one value contains or is contained within the other.
  2. Equivalent Ratios - Ratios that express the same relationship between quantities.

    • Equivalent ratios are different fractions that represent the same relationship or proportion.
  3. Unit Rate - A rate in which the second quantity in the comparison is one unit.

    • A unit rate is a comparison to a single unit, for instance, "miles per hour."
  4. Rate - A ratio that compares two quantities with different units.

    • Rates are used when two different types of measurements are compared, like speed (miles per hour) or price per item.
  5. Percent - A ratio that compares a number to 100.

    • Percentages are ratios out of 100, making it easier to compare relative sizes.

Would you like more details or have any questions?

Related Questions

  1. What is an example of equivalent ratios?
  2. How can unit rates be useful in real life?
  3. Why is understanding ratios important in math?
  4. Can you explain the difference between rate and unit rate?
  5. How are ratios used in percentages?

Tip:

When comparing different quantities, always consider whether they have the same units, as it impacts whether you're dealing with a rate, ratio, or unit rate!

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Math Problem Analysis

Mathematical Concepts

Ratios
Equivalent Ratios
Unit Rate
Rate
Percentages

Formulas

Ratio = Quantity1 / Quantity2
Equivalent Ratios: a/b = c/d
Unit Rate: Rate per single unit
Percent = (Number / Total) * 100

Theorems

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Suitable Grade Level

Grades 5-7