Double Number Lines

Front

What is a double number line?

Back

A double number line is a visual representation that shows two sets of related quantities, allowing for easy comparison and conversion between them.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 120 customers are served in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

If 8 loaves of bread require 12 cups of raisins, how many cups of raisins are needed for 1 loaf?

Back

To find the amount of raisins needed for 1 loaf, divide 12 cups by 8 loaves: 12 ÷ 8 = 1.5 cups of raisins per loaf.

Front

What is the formula to calculate the unit rate?

Back

The formula to calculate the unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If you have a unit rate of 55 miles per hour, how far will you travel in 4 hours?

Back

To find the distance traveled, multiply the unit rate by the time: 55 miles/hour × 4 hours = 220 miles.

Front

How can you convert a unit rate into a different unit?

Back

To convert a unit rate into a different unit, use a proportion or a conversion factor that relates the two units.

Front

What is the unit rate of $40 for 5 pounds of concrete?

Back

The unit rate is calculated by dividing the total cost by the weight: $40 ÷ 5 pounds = $8 per pound.

Front

If you use 9 cups of raisins to make 6 loaves of bread, how many cups of raisins are needed for 3 loaves?

Back

To find the amount needed for 3 loaves, set up a proportion: (9 cups / 6 loaves) = (x cups / 3 loaves). Solving gives x = 4.5 cups.

Front

What is the relationship between the quantities on a double number line?

Back

The relationship shows how one quantity changes in relation to another, often represented as a ratio or rate.

Front

How do you interpret a double number line?

Back

To interpret a double number line, look for corresponding values on each line to understand the relationship between the two sets of quantities.