Section B: Practice Problems Add Within 1,000 using Place Value Strategies

Section Summary

Details

In this section of the unit, we learned many different ways to add three-digit numbers using what we know about place value. We used base-ten blocks, diagrams, and equations to show adding hundreds to hundreds, tens to tens, and ones to ones. We learned that when you add by place, you may need to compose a ten, a hundred, or both.

Base-ten Diagram
$358 + 67$

Unit Form and Equations
$358 + 67$

3 hundreds + 11 tens + 15 ones
11 tens = 110
15 ones = 15

$300 + 110 + 15 = 425$

Adding by Place
$267 + 338$

$200 + 300 = 500$
$60 + 30 = 90$
$7 + 8 = 15$
$500 + 90 + 15$
$500 + 90 + 10 + 5$
$500 + 100 + 5 = 605$

Problem 1 (Lesson 6)

Find the value of each sum. Show your thinking.

$238 + 52$
$252 + 38$
$119 + 61$

Problem 2 (Lesson 7)

Find the value of each sum. Explain your reasoning.

$395 + 77$
$417 + 532$

Problem 3 (Lesson 8)

Find the value of each sum. Show your thinking.

$238 + 54$
$345 + 77$

Problem 4 (Lesson 9)

Here is how Jada found the value of $741 + 179$ .

$741 + 9 = 750$

$750 + 100 = 850$

Explain Jada’s error.
Correct Jada’s work and find the value of $741 + 179$ .

Problem 5 (Lesson 10)

Find the value of $382 + 479$ .
Find the missing digit that makes the equation true. Explain how you know.

$534 + 4$ $6 = 1, 000$

Problem 6 (Exploration)

Here is how Han likes to add.

Addition algorithm. Four-hundred forty-eight plus three-hundred, ninety-six, equals 7 and 13 and 14, equals eight-hundred forty-four.

Explain why Han’s method works.
What do you think of Han’s method?
Use Han’s method to find the value of $388 + 259$ .

Problem 7 (Exploration)

Here is an equation with several digits missing.

$5 + 63$ $= 823$

What digits can you put in the blanks to make the equation true?
Can you complete the numbers in more than one way to make the equation true?