options: Use place value understanding and properties of operations to perform multi-digit arithmetic. (A range of algorithms may be used.)

Understand the place value system.

Extend the counting sequence.

Use place value understanding and properties of operations to add and subtract.

Work with numbers 11–19 to gain foundations for place value.

Generalize place value understanding for multi-digit whole numbers.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Use place value understanding and properties of operations to perform multi-digit arithmetic.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Perform operations with multi-digit whole numbers and with decimals to hundredths.

Understand place value.
problem_activity: Problem 1
Mr. Wynn now wants to cover a part of the gym with butcher paper to work on a large painting. He covers a section of the gym that is 30 feet long and 35 feet wide. Then he realizes he needs a bit more space for the painting and adds a section of butcher paper that is 4 feet long and 35 feet wide.
a.   How many square feet of butcher paper did Mr. Wynn use for his painting?
b.   What is the total length and width of Mr. Wynn’s painting?
Problem 2
a.   Label the area model to represent 31 × 23 and to find that product.
Decompose each number into its base-ten units (tens and ones) and write them in the boxes on each side of the rectangle.
[IMG]
Label regions A, B, C, and D with their areas. Show your reasoning.
Find the product that the area model represents. Show your reasoning.
b.   Here is one way to calculate 31 × 23. Each number with a box gives the area of one region in the area model.
[IMG]
In the boxes next to each number, write the letter of the corresponding region.
There is a 1 above the hundreds digit in the sum. What does that 1 represent?
Problem 3
Estimate each product. Then use any method to solve.
a.
$$26\times37$$
b.
$$81\times52$$
c.
$$68\times73$$


correct_option_index: 6