Double Number Lines

Front

What is a double number line?

Back

A double number line is a visual representation that shows two sets of numbers along parallel lines, helping to illustrate the relationship between two quantities, often used to represent ratios.

Front

How do you find the number of cats if there are 25 dogs and the ratio of dogs to cats is 5 to 3?

Back

To find the number of cats, set up the ratio: 5 dogs / 3 cats = 25 dogs / x cats. Cross-multiply to get 5x = 75, so x = 15 cats.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed in the form 'a to b' or a:b.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if 120 customers visit in 8 hours, the unit rate is 120 / 8 = 15 customers per hour.

Front

If Will spent $3.75 for 3 pounds of gummy bears, how do you find the cost per pound?

Back

To find the cost per pound, divide the total cost by the total weight: $3.75 / 3 pounds = $1.25 per pound.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form, making it easier to understand the relationship.

Front

How can you use a double number line to solve ratio problems?

Back

A double number line can help visualize the relationship between two quantities, allowing you to easily see how many of one quantity corresponds to a specific amount of another.

Front

What is the unit rate of 408 words typed in 4 minutes?

Back

To find the unit rate, divide the total words by the total time: 408 words / 4 minutes = 102 words per minute.

Front

How do you set up a proportion to solve for an unknown in a ratio?

Back

Set up a proportion by equating two ratios. For example, if the ratio is 5:3 and you know one quantity, you can set it up as 5/x = 3/y to find the unknown.

Front

What is the importance of understanding ratios in real-life situations?

Back

Understanding ratios helps in making comparisons, scaling recipes, budgeting, and analyzing data in various real-life contexts.