Mastering Addition and Subtraction of Large Numbers

Professor Dave explains how to perform arithmetic with large numbers, focusing on addition and subtraction. He demonstrates the process of aligning numbers by place value and introduces the concepts of carrying and borrowing. The video also covers adding multiple numbers efficiently using the same method.

Why is it impractical to count very large numbers manually?

• It's too time-consuming

• All of the above

• Numbers don't go that high

• It's too easy to make mistakes

What is the first step in adding two large numbers using pen and paper?

• Multiply the two numbers

• Line up the numbers by their place values

• Divide the numbers

• Subtract the smaller number from the larger

What does 'carrying the one' mean in addition?

• Moving to the next number

• Dividing the number by one

• Adding one to the next higher place value

• Subtracting one from the sum

How many apples were sold today between the two markets?

• 5,000

• 2,907

• 4,000

• 3,907

What do you do when subtracting and the top digit is smaller than the bottom digit?

• Add the two digits

• Borrow from the next higher place value

• Multiply the digits

• Leave it as is

After borrowing for subtraction, what was the new value in the tens place?

• Nine

• Six

• Seven

• Eight

How many apples does the vendor have left to sell tomorrow?

• 286

• 100

• 187

• 473

What is the purpose of carrying a two to the top of the tens column?

• To add to the next place value

• To divide the sum

• To subtract from the total

• To multiply the sum

What is the sum of 17, 22, 11, 34, and 46?

• 130

• 150

• 120

• 140

What is the basic algorithm for adding and subtracting large numbers?

• Counting each number individually

• Guessing the closest possible answer

• Using a calculator for all operations

• Lining up numbers by place value and carrying or borrowing as needed