# Add Multi-Digit Whole Numbers

Examples, solutions, and videos to help Grade 4 students learn to use place value understanding to fluently add multi-digit whole numbers using the standard addition algorithm and apply the algorithm to solve word problems using tape diagrams.

Common Core Standards: 4.OA.3, 4.NBT.4, 4.NBT.1, 4.NBT.2

### NYS Math Module 1 Grade 4 Lesson 11 Vocabulary

Addend, Equation, Algorithm, Tape Diagram
Tape diagrams, bar models
A Tape diagram is a drawing that represents information in a math problem.
Standard Algorithm: a common or traditional series of math steps to get an answer to the math problem.

### NYS Math Module 1 Grade 4 Lesson 11 Concept Development

Problem 1: Add, renaming once using disks in a place value chart.
3,134 + 2,493

Problem 2: Add, renaming in multiple units using the standard algorithm and the place value chart.
40,762 + 30,473

Problem 3: Add, renaming multiple units using the standard algorithm.

Problem 4: Solve one-step word problem using standard algorithm modeled with a tape diagram.
The Lane family took a road trip. During the first week, they drove 907 miles. The second week they drove the same amount as the first week plus an additional 297 miles. How many miles did they drive during the second week?

### NYS Math Module 1 Grade 4 Lesson 11 Problem Set

1. Solve the addition problems below using the standard algorithm.
a. 6,311 + 268 =
g. 52,098 + 6,048 =
j. 527 + 275 + 752 =

Directions: Draw a tape diagram to model the following problems. Use numbers and words to explain your work. 2. In September, Liberty Elementary School collected 32,537 cans for a fundraiser. In October, they collected 207,492 cans. How many cans were collected during September and October?

1. A baseball stadium sold some burgers: 2,806 were cheeseburgers and 1,679 burgers didn’t have cheese. How many burgers did they sell in all? Use a tape diagram to show your work.

2. On Saturday night, 23,748 people attended the concert. On Sunday, 7,570 more people attended the concert than on Saturday. How many people attended the concert on Sunday?

### NYS Math Grade 4, Module 1, Lesson 11 Homework

1. Solve the addition problems below using the standard algorithm.
Directions: Draw a tape diagram to model the following problem. Use numbers and words to explain your work.

2. At the zoo, Brooke learned that one of rhinos weighed 4,897 pounds, one of the giraffes weighed 2,667 pounds, one of the African elephants weighed 12,456 pounds, and one of the Komodo dragons weighed 123 pounds.
a. What is the combined weight of the zoo’s African elephant and the giraffe?
b. What is the combined weight of the zoo’s African elephant and the rhino?
c. What is the combined weight of the zoo’s African elephant, the rhino, and the giraffe?
d. What is the combined weight of the zoo’s Komodo dragon and the rhino?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.