U5 Lessons 8-12 Flashcard

Front

What is the process to find the average distance run per day if a total distance is given?

Back

To find the average distance run per day, divide the total distance by the number of days. For example, if Melanie ran 11 1/4 miles over 5 days, convert 11 1/4 to an improper fraction (45/4) and divide by 5 (45/4 ÷ 5 = 9/4 = 2 1/4 miles).

Front

What is the product of two negative numbers?

Back

The product of two negative numbers is positive. For example, -1.2 x -3.4 = 4.08.

Front

How do you calculate average speed?

Back

Average speed is calculated by dividing the total distance traveled by the total time taken. For example, if a runner completes 100 meters in 10 seconds, the average speed is 100m ÷ 10s = 10 m/s.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form where the numerator and denominator have no common factors other than 1. For example, -63/72 simplifies to -7/8.

Front

How do you divide mixed numbers?

Back

To divide mixed numbers, convert them to improper fractions, then multiply by the reciprocal of the second fraction. For example, -3 3/4 ÷ 5 1/2 becomes -15/4 ÷ 11/2 = -15/4 x 2/11 = -30/44 = -15/22.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/4 is a mixed number.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 9/4 is an improper fraction.

Front

What is the rule for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, 2/3 x 4/5 = (2x4)/(3x5) = 8/15.

Front

What is the significance of the negative sign in multiplication?

Back

The negative sign indicates the direction of the value on a number line. Multiplying a negative by a positive results in a negative product, while multiplying two negatives results in a positive product.

Front

What is the formula for calculating distance?

Back

Distance can be calculated using the formula: Distance = Speed x Time. For example, if a runner's speed is 10 m/s and the time is 10 seconds, the distance is 10 m/s x 10 s = 100 meters.