Grade: Grade 2 Subject: Mathematics Unit: Addition & Subtraction Within 1000 SAT: Algebra ACT: Math

Adding Hundreds

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In Grade 1, you learned to add numbers up to 100. Now you are ready to add bigger numbers - up to 1,000!

What Are Hundreds?

Hundreds are groups of 100. When we write 100, 200, 300, 400, 500, 600, 700, 800, or 900, we are counting hundreds.

Think of hundreds like big bundles. If you had 100 stickers in one pack, then 3 packs would be 300 stickers!

Adding Hundreds Is Like Adding Ones!

Here is a great secret: Adding hundreds works just like adding ones!

  • 2 + 3 = 5, so 200 + 300 = 500
  • 4 + 1 = 5, so 400 + 100 = 500
  • 5 + 4 = 9, so 500 + 400 = 900

Just add the first digits and put two zeros after!

Using Place Value to Add

Remember place value? In the number 300:

  • The 3 is in the hundreds place
  • The 0 is in the tens place
  • The other 0 is in the ones place

When we add 300 + 200, we add 3 hundreds + 2 hundreds = 5 hundreds = 500!

Worked Examples

Example 1: 100 + 200

Problem: Add 100 + 200

Step 1: Think about what we are adding: 1 hundred + 2 hundreds

Step 2: Add the hundreds: 1 + 2 = 3

Step 3: Write the answer with two zeros: 300

Answer: 100 + 200 = 300

Example 2: 400 + 300

Problem: Add 400 + 300

Step 1: Think: 4 hundreds + 3 hundreds

Step 2: Add: 4 + 3 = 7

Step 3: Answer: 700

Answer: 400 + 300 = 700

Example 3: 500 + 400

Problem: Add 500 + 400

Step 1: Think: 5 hundreds + 4 hundreds

Step 2: Add: 5 + 4 = 9

Step 3: Answer: 900

Answer: 500 + 400 = 900

Example 4: Word Problem

Problem: A library has 200 picture books and 300 chapter books. How many books does the library have in all?

Step 1: Find what to add: 200 picture books + 300 chapter books

Step 2: Add: 2 hundreds + 3 hundreds = 5 hundreds

Step 3: Write the answer: 500

Answer: The library has 500 books in all.

Example 5: Adding Three Numbers

Problem: Add 100 + 200 + 400

Step 1: First add 100 + 200 = 300

Step 2: Then add 300 + 400 = 700

Answer: 100 + 200 + 400 = 700

Practice Problems

Try these problems on your own. Click "Show Answer" to check your work!

Problem 1: 100 + 100 = ?

Show Answer

200 (1 hundred + 1 hundred = 2 hundreds)

Problem 2: 200 + 300 = ?

Show Answer

500 (2 hundreds + 3 hundreds = 5 hundreds)

Problem 3: 300 + 400 = ?

Show Answer

700 (3 + 4 = 7, so 300 + 400 = 700)

Problem 4: 600 + 200 = ?

Show Answer

800 (6 + 2 = 8, so the answer is 800)

Problem 5: 100 + 800 = ?

Show Answer

900 (1 + 8 = 9, so the answer is 900)

Problem 6: 400 + 400 = ?

Show Answer

800 (4 + 4 = 8, so the answer is 800)

Problem 7: A farmer has 300 apples. She picks 200 more. How many apples does she have now?

Show Answer

500 apples (300 + 200 = 500)

Problem 8: 500 + 300 = ?

Show Answer

800 (5 + 3 = 8, so the answer is 800)

Problem 9: A school has 400 boys and 500 girls. How many students are there?

Show Answer

900 students (400 + 500 = 900)

Problem 10: 100 + 300 + 200 = ?

Show Answer

600 (1 + 3 + 2 = 6, so the answer is 600)

Check Your Understanding

Question 1: When adding 300 + 500, what do you add first?

Show Answer

You add the hundreds digits: 3 + 5 = 8, then write 800.

Question 2: Why is adding hundreds like adding ones?

Show Answer

Because you just add the digits in the hundreds place, like adding single numbers. 2 + 3 = 5 is the same idea as 200 + 300 = 500!

Question 3: What is 200 + 700?

Show Answer

900 (2 + 7 = 9, so 200 + 700 = 900)

Question 4: Can you add 600 + 500? What happens?

Show Answer

600 + 500 = 1,100. When you add and get more than 9 hundreds, you get into the thousands! This is a preview of what you will learn next.

Next Steps

  • Practice: Try making up your own addition problems with hundreds
  • Challenge: Can you add hundreds in your head without writing them down?
  • Next Lesson: Learn to subtract hundreds in the next lesson!
  • Real Life: Look for big numbers in books, on signs, or in stores