Exploring 7th Grade Math Concepts

The video tutorial covers the multiplication of rational numbers, focusing on converting mixed numbers to improper fractions and vice versa. It begins with a review of multiplying integers, emphasizing the rules for determining the sign of the product. The lesson then transitions to multiplying rational numbers, including fractions and decimals. The teacher provides step-by-step instructions on converting mixed numbers to improper fractions, multiplying them, and simplifying the results. The tutorial concludes with practice problems to reinforce the concepts taught.

What is the ultimate goal by the end of the two days?

• To add rational numbers

• To subtract rational numbers

• To multiply rational numbers

• To divide rational numbers

If you multiply two integers with the same sign, what will be the sign of the product?

• Undefined

• Positive

• Negative

• Zero

What is the product of -7 and 13?

• -91

• 91

• -20

• 20

Which of the following products is negative?

• 1 times 1

• -8 times -9

• 15 times -5

• 0 times -2

What is the first step in multiplying mixed numbers?

• Add the whole numbers

• Convert mixed numbers to improper fractions

• Multiply the denominators

• Simplify the fractions

How do you convert 1 and 1/2 to an improper fraction?

• 2/5

• 2/3

• 3/2

• 5/2

What is the product of 8/3 and 4/5?

• 32/15

• 8/15

• 15/32

• 32/5

How do you convert 32/15 back to a mixed number?

• 2 and 1/15

• 3 and 2/15

• 2 and 2/15

• 3 and 1/15

What is the improper fraction form of 4 and 2/5?

• 20/5

• 22/5

• 18/5

• 24/5

Convert the improper fraction 10/4 to a mixed number.

• 2 and 1/2

• 2 and 1/4

• 2 and 2/4

• 2 and 3/4