Topic 3 Test 4.NBT.11

1. A student is using the area model below to solve a problem. 

2. What is the missing partial product he needs to complete this area model?

1. A cow produces 2,320 gallons of milk a year. A farmer has 3 cows. How many gallons of milk will the farmer have in one year? 

Fill in the blank with the missing partial product. 

3 x 2,320 = m

3 x (2,000 + 300 + 20) = m

(3 x 2,000) + (3 x 300) + (3 x 20) = m

6,000 + ________+ 60 = m

6,960 = m

1. The football coaches booked a party room at Johnny’s Pizza for their awards ceremony. The tables were arranged so that each table could seat 7 players. There were 25 tables. How many people did the party room seat?

1. Which of the following equations does this area model represent?

• 5 x 5,631

• 5 x 5000150030025

• 5 x 1,365

• 5 + 1,000 + 300 + 60 +5

Which of the following is the correct way to find the partial products of the area model?

• (5 x 1,000) + (5 x 300) + (5 x 60) + (5 x 5)

• 1,000 + 300 + 60 + 5

• 5,000 + 1,500 + 300 + 25

• (5 x 5,000) + (5 x 1,500) + (5 x 300) + (5 x 25)

Which of the following shows the numerical expression using the partial products to get the product of the area model?

• 5 + 1,000 x 300 + 60 x 5

• (5,000 x 1,500) x (300 x 25)

• 1,365

• 5,000 + 1,500 + 300 + 25 = 6,825

Which of the following shows how to rewrite the product of 372 × 3 using properties of operations and place value?

• 3 + 7 + 2

• (300 x 3) + (70 x 3) + (2 x 3)

• 300 + 70 + 2

• 3,723

Shonda ordered small posters and large posters. She ordered 4 times as many small posters than large posters. She ordered 36 large posters. How many small posters did she order?

• 144

• 436

• 40

• 32

Socks are sold in packages of 6. The uniform store has 36 packages in stock. How many socks does the store have in stock to sell?

• 636

• 42

• 216

• 30

Which is the numerical expression that represents this array?

• 9 x 4 x 12 x 12

• 3 x 9,644

• 9 x 9,244

• 3 x 3,244