Adding Large Numbers - Multi-Digit Addition

This video tutorial teaches how to add numbers using the standard algorithm. It begins with an introduction to the concept of an algorithm and demonstrates the process of aligning numbers by place value for addition. The importance of proper alignment is emphasized to ensure accurate results. The tutorial also covers the concept of carrying over numbers when sums exceed ten. Several practice problems are provided to reinforce the learning, and a method for checking the accuracy of addition is explained.

What is the first step in using the standard algorithm for addition?

• Add the numbers randomly.

• Line up the numbers by their place values.

• Subtract the smaller number from the larger one.

• Start adding from the leftmost digit.

Why is it crucial to align numbers by their place values in addition?

• To avoid carrying over numbers.

• To make subtraction easier.

• To ensure each digit is added to the correct place value.

• To make the numbers look neat.

What happens when the sum of two digits in a column is greater than 9?

• The sum is ignored.

• The extra value is carried over to the next column.

• The numbers are subtracted instead.

• The sum is written as it is.

In the problem 284 + 136, what is the result after carrying over?

• 440

• 430

• 410

• 420

How can you verify the correctness of your addition result?

• By multiplying the numbers.

• By dividing the sum by one of the original numbers.

• By subtracting one of the original numbers from the sum.

• By adding the numbers again.

What is the sum of 42,516 and 85,321?

• 127,867

• 127,837

• 127,847

• 127,857

Which of the following is a correct addition using the standard algorithm?

• 213 + 425 = 638

• 345 + 124 = 469

• 2134 + 523 = 2757

• 127 + 145 = 272