We included HMH Into Math Grade 3 Answer Key PDF Module 10 Lesson 1 Use Expanded Form to Add to make students experts in learning maths.

## HMH Into Math Grade 3 Module 10 Lesson 1 Answer Key Use Expanded Form to Add

I Can use expanded form and partial sums to add 2- and 3-digit numbers.

Elena and her family are at the park. They walk along two of the paths shown on the map. How many feet do they walk?

Use mental math to solve. Show your thinking.
In first path they walked from picnic shelter to nature center
the distance = 423 feet
In second path they walked from fish pond to play ground
the distance = 328 feet
423 is rounded to 400
328 is rounded to 300
400 + 300 = 700
they walked around 700 feet

Turn and Talk What is another way that you could use mental math to solve your problem? Explain.
Estimation is the way they can find the distance
or direct addition we can find the solution
if we use mental math’s we have to round to nearest 100

Build Understanding

Question 1.
Elena and her family watch the Owl Show at the Nature Center in the city park. There are 37 adults and 48 children in the audience. How many people are watching the Owl Show?

Use expanded form to add 37 and 48.
= 30 + 7
= 40 + 8
= 70 + 15
= 85

Connect to Vocabulary
Expanded form is a way to write numbers by showing the value of each digit.
Examples:
59 = 50 + 9
214 = 200 + 10 + 4

A. How did you write 37 and 48 in expanded form?
= 30 + 7
= 40 + 8
= 70 + 15
= 85

B. How did you use place value to add?
we added place value as hundred with the hundreds place
then tens place with the tens place
then ones with the ones place.

C. How many people are watching the Owl Show?
85 people are watching the owl.

Turn and Talk On a different day, 128 adults and 259 children are at the Owl Show. How could you use expanded form to find the number of people at the Owl Show?
On a different day, 128 adults and 259 children are at the Owl Show.
= 100 + 20 + 8
= 200 + 50 + 9
= 300 + 70 + 17
= 300 + 70 + 10 + 7
= 300 + 80 + 7
= 387

Step It Out

Question 2.
Use partial sums to add 2- or 3-digit numbers. Find 425 + 167.
A. Estimate:

B. Write each addend in expanded form.
425 = 400 + 20 + 5
167 = 100 + 60 + 7
= 500 + 80 + 12
= 500 + 90 + 2
= 592

= 500 + 80 + 12
= 500 + 90 + 2
= 592

Turn and Talk How can you check if your answer is reasonable?
425 is rounded to 400
167 is rounded to 200
400 + 200 = 600

Check Understanding

Question 1.
At the park, Elena collects 26 leaves and her brother collects 35 leaves. How many leaves do they collect?

Elena and her brother collected 61
Explanation:
At the park, Elena collects 26 leaves and her brother collects 35 leaves.
let n be the total leaves
26 = 20 + 6
35 = 30 + 5
n = 50 + 11
n = 50 + 10 + 1
n = 60 + 1
n = 61

Estimate. Then use partial sums to add.

Question 2.
Estimate: ______________

Explanation:
431 is rounded to 400
57 is rounded to 100
400 + 100 = 500

Question 3.
Estimate: ______________

Explanation:
736 is rounded to 700
129 is rounded to 100
700 + 100 = 800

Question 4.
Construct Arguments One section of the park garden has 142 tulips and 137 daffodils. How many flowers are in this section of the garden? Explain your thinking.

Explanation:
the park garden has 142 tulips and 137 daffodils.
Let the total flowers be n
n = 142 + 137
n = 279
there are 279 flowers are in this section of the garden

Attend to Precision Estimate. Then use partial sums to add.

Question 5.
Estimate: ___________

Explanation:
545 is rounded  to 500
63 is rounded  to 100
500 + 100 = 600

Question 6.
Estimate: ___________

Explanation:
612 is rounded  to 600
184 is rounded  to 200
600 + 200 = 800

Question 7.
Estimate: ___________

Explanation:
296 is rounded  to 300
608 is rounded  to 600
600 + 300 = 900

Question 8.
Estimate: ___________

Explanation:
471 is rounded to 500
357 is rounded to 300
500 + 300 = 800

Question 9.
Use Structure The Nature Center has 248 visitors on Saturday and 432 visitors on Sunday. How many visitors does the Nature Center have on these two days?

Explanation:
Nature Center has 248 visitors on Saturday
and 432 visitors on Sunday.
let n be the unknown
n = 248 + 432
n = 680
248 + 432 = 680

I’m in a Learning Mindset!

Am I understanding how to use expanded form to add? Explain.