Understanding Expanded Notation and Partial Sums

This video tutorial teaches the partial sums method for solving addition problems. It explains how to break down numbers into expanded notation and add each part separately before combining them for the total sum. The method is demonstrated with examples, including adding 729 and 243, and calculating the total miles traveled by Natalie. The partial sums method is highlighted as a useful strategy for checking work and solving problems mentally.

What is the expanded notation of the number 2086?

• 2000 + 80 + 6

• 208 + 6

• 200 + 800 + 6

• 20 + 86

In the partial sums method, what is the first step when adding 729 and 243?

• Add the hundreds place first

• Add the ones place first

• Add the tens place first

• Add all numbers together at once

What is the partial sum of the tens place when adding 729 and 243?

• 40

• 60

• 50

• 70

Why is the partial sums method useful?

• It helps in checking your work

• It is the only method for addition

• It is faster than other methods

• It is used only for subtraction

How many miles did Natalie travel in total?

• 2,049 miles

• 1,900 miles

• 1,500 miles

• 2,000 miles

What is the partial sum of the hundreds place when adding 1,367 and 682?

• 1,000

• 900

• 800

• 700

What is the final sum when adding 1,900, 140, and 9?

• 2,049

• 2,000

• 2,040

• 2,100

What is the expanded form of 1,367?

• 1,300 + 60 + 7

• 1,000 + 600 + 70

• 1,000 + 300 + 70

• 1,000 + 300 + 60 + 7

What is the purpose of using the partial sums method?

• To multiply numbers quickly

• To divide numbers accurately

• To make subtraction easier

• To simplify addition by breaking numbers into parts