Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the concept of multiplication as a comparison. It explains how to interpret multiplication equations as comparisons and represent verbal statements as equations. Examples include describing 4 times 8 equals 32 in different ways, solving a worksheet problem about seeds, comparing 4 times 7 with 7 times 4, analyzing an error in multiplication, using a bar model for babysitting hours, and exploring 5 times 8 equals 40. The tutorial emphasizes understanding the commutative property of multiplication and encourages students to think about multiplication in various ways.

What does a multiplication equation as a comparison represent?

• A factor multiplied by another factor to get a product

• A sum of two factors

• A factor divided by a product

• A subtraction of two products

How can you represent '32 is eight times as many as 4' in an equation?

• 32 = 4 + 8

• 32 = 8 * 4

• 32 = 4 / 8

• 32 = 4 - 8

What is a correct representation of '32 is eight times as many as 4'?

• 32 = 4 * 8

• 8 = 32 * 4

• 4 = 32 * 8

• 32 = 8 * 4

If Mia plants 8 seeds and her sister plants 6 times as many, how many seeds does her sister plant?

• 14 seeds

• 54 seeds

• 48 seeds

• 64 seeds

How can multiplication be used to solve 'Mia's sister plants six times as many seeds as Mia'?

• By subtracting six from Mia's seeds

• By multiplying Mia's seeds by six

• By adding six to Mia's number of seeds

• By dividing Mia's seeds by six

How are '4 times as many as 7' and '7 times as many as 4' related?

• One is subtraction, and the other is addition

• They have the same product

• They are not related

• They have different products

What mistake did Sergio make when calculating how many pennies his sister found?

• He multiplied instead of added

• He added instead of multiplied

• He divided instead of added

• He subtracted instead of multiplied

If Ben babysits for 7 hours and Paige babysits for 3 times as many, how many hours does Paige babysit?

• 21 hours

• 10 hours

• 14 hours

• 28 hours

What is the correct equation for 'Paige babysits for three times as many hours as Ben who babysits for 7 hours'?

• Paige = 3 + Ben

• Paige = 3 * 7

• Paige = Ben / 3

• Ben = 3 * Paige

How can you think about '5 times 8 equals 40' as a comparison?

• 8 is five times as many as 40

• 5 is eight times as many as 40

• 40 is five times as many as 8

• 40 is eight times as many as 5