Word Problems
4-digit x 3-digit
Area Model 'Box'
Standard Alg.
100

Wendy is going on a 12-day bike trip. She plans to ride 35 miles a day. How many total miles will she ride on the trip?

420 miles

100

When multiplying a 4-digit number by a 3-digit number, which of the two numbers do you write down first (or on top)?

4-digit number is written first for both standard algorithm & area model

100

When using the area model 'box method' to multiply, you are labeling the columns and rows with what form of the multi-digit number? (standard, word or expanded)

expanded form (4th grade style)

100

What math operation do you use with all partial product lines to find the final product?

addition

200

Dustin drives 225 miles each month for work. How many miles does he drive for work every year?

2,700 miles

200

Using standard algorithm, solve the problem 1012 x 201

203,412

200

How would you label the columns to break down the number 452 and how many columns would there be? 

400, 50, 2; 3 columns

200

How many partial products will there be when multiplying a 4-digit number by a 3-digit number?

3 partial product lines

300

A hotel washes 458 sheets each day. How many sheets does the hotel wash in 110 days?

50,380 sheets

300

Using the area model, solve 2105 x 104

218,920

300

In the number 1509, would you still need to label the tens column with a 0? Why?

yes; the zero has no value, but has place value
300

What is written at the start of every partial product line after the first partial product line?

0 (place holder); second partial product line one 0/place holder; third partial product line two 0's/place holders

400

A website averages 3,245 clicks per hour. How many clicks does the website get in 24 hours?

77,880 clicks

400

Using standard algorithm, solve 3004 x 213

639,852

400

In the problem 1042 x 435 how would you label the columns & rows of the area model?

columns: 1000, 0, 40, 2

rows: 400, 30, 5

400

In the problem 1042 x 435 what would be the partial product of the second line?

31,260

500

Mrs. Shirley earns $1,525 per week. How much will she earn in 115 weeks?

$175,375

500

Using the area model, solve 4150 x 312

1,294,800

500

In the problem 1042 x 435, what two numbers are you multiplying in the top left box & what is the partial product for that box?

1000 x 400 = 400,000

500

What are 2 or more tips for success in solving multiplication using standard algorithm?

neat handwriting; copying the problem down correctly; knowing your multiplication facts; lining up your place values; carrying any numbers; remember to add the carried values