Conversion Factors & Cross-Canceling

Front

What is a conversion factor?

Back

A conversion factor is a numerical factor used to multiply or divide a quantity when converting from one unit of measurement to another.

Front

How do you cross-cancel units in a fraction?

Back

Cross-canceling involves dividing the numerator and denominator by the same unit to simplify the fraction before performing calculations.

Front

If each person eats 4 slices of pizza, how many slices are needed for 67 people?

Back

268 slices (67 people x 4 slices/person).

Front

How many pizzas are needed if each pizza has 8 slices?

Back

34 pizzas (268 slices ÷ 8 slices/pizza).

Front

How many centimeters are in a mile?

Back

1 mile = 160,934.4 centimeters.

Front

Convert 1.7 miles to centimeters using the conversion factor.

Back

1.7 miles x 160,934.4 cm/mile = 273,530.88 cm.

Front

What is the total number of cookies in 5 packs if each pack contains 32 cookies?

Back

160 cookies (5 packs x 32 cookies/pack).

Front

If each person eats 4 cookies, how many people can be fed with 160 cookies?

Back

40 people (160 cookies ÷ 4 cookies/person).

Front

What is the formula to find the total number of items based on quantity and consumption rate?

Back

Total items = Quantity of items ÷ Consumption rate per person.

Front

What is the importance of unit conversion in problem-solving?

Back

Unit conversion is crucial for ensuring that measurements are compatible and accurate when solving problems.