Patterns in Multiplication of Ones

The video explores a pattern in multiplying numbers composed entirely of ones. Starting with simple examples like 1x1 and 11x11, it demonstrates how the pattern extends to larger numbers, such as 111x111 and beyond. The pattern involves counting up to the number of ones and then back down. As the numbers grow, the video explains how to handle large products and perform necessary exchanges to maintain single-digit place values. The video concludes with a complex example involving ten ones, illustrating the pattern's consistency and the need for exchanges.

What is the result of multiplying 11 by 11?

• 111

• 121

• 131

• 141

When multiplying 111 by 111, what is the pattern observed in the product?

• 1 2 3 4 3 2 1

• 1 2 3 2 1

• 1 2 1

• 1 2 3 4 5 4 3 2 1

What is the product of 1111 times 1111?

• 12,321

• 123,321

• 1,234,321

• 12,345,321

How does the product pattern change when multiplying numbers with six ones?

• It remains the same

• It becomes 1 2 3 4 5 6 5 4 3 2 1

• It becomes 1 2 3 4 5 6 7 6 5 4 3 2 1

• It becomes 1 2 3 4 5 4 3 2 1

What is the product of 1111111 times 1111111?

• 1,234,567,654,321

• 123,456,789,987,654,321

• 12,345,654,321

• 1,234,321

What is the product of 11111111 times 11111111?

• 123,456,787,654,321

• 12,345,678,987,654,321

• 123,456,787,654,321

• 1,234,567,654,321

What is the product of 111111111 times 111111111?

• 12,345,678,987,654,321

• 123,456,789,987,654,321

• 1,234,567,890,987,654,321

• 12,345,678,987,654,321

What happens when multiplying numbers with ten ones?

• The product is always one

• The pattern breaks

• The pattern continues but requires exchanges

• The product is always zero

What is the final product when multiplying numbers with ten ones?

• 123 trillion 456 billion 787 million 654 thousand 321

• 1 trillion 234 billion 567 million 654 thousand 321

• 12 quadrillion 345 trillion 678 billion 987 million 654 thousand 321

• 1 quintillion 234 quadrillion 567 trillion 900 billion 987 million 654 thousand 321

Why do we need to perform exchanges when multiplying numbers with ten ones?

• To make the product zero

• To make the product one

• To handle large place values

• To simplify the calculation