We included **HMH Into Math Grade 4 Answer Key**** PDF** **Module 5 Lesson 4 Multiply Using Partial Products** to make students experts in learning maths.

## HMH Into Math Grade 4 Module 5 Lesson 4 Answer Key Multiply Using Partial Products

I Can record partial products to multiply a multi-digit number by a 1-digit number.

**Spark Your Learning**

The Monstrosity Roller Coaster has seats for 136 riders. The roller coaster completes 4 runs each half hour. If all the seats on the roller coaster are filled each run, how many people can ride in a half hour?

Answer:

Explanation:

544 can ride the roller coaster in a half hour.

**Turn and Talk** How can you use place value to help you multiply?

**Build Understanding**

1. On Saturday, 264 people ride a carousel in the park. On Sunday, 3 times as many people ride the carousel. How many people ride the carousel on Sunday?

A. What is the first step for showing the problem in an area model?

Answer:

The first step for showing the area model is to express the number in expanded form.

B. Why do you multiply the hundreds first?

Answer:

Explanation:

I multiplied hundreds first to find the sum of all partial products we need to find the product of big number first.

**Write the partial products in each section of the area model.**

C. How can you use place value to help you record the partial products and find the whole product?

Answer:

The place value helps us to multiply with the hundreds, tens and ones separately to find the partial products and the whole product.

D. How many people rode the carousel on Sunday?

Answer:

792 people rode the carousel on Sunday.

E. How can you determine if your answer is reasonable?

Answer:

My estimate is 260 x 3 = 780

The product of 264 and 3 is 792

Both the answers are close. So, my answer is reasonable.

**Step It Out**

2. Treetop Academy is ordering notebooks for each of their 2,356 students. How many notebooks should they order?

Use what you know about expanded form, partial products, and place value to find the product.

A. Multiply: __ × ___ Estimate: ____

2300 x 4 = 9200

B. Use expanded form to break apart the greater factor.

___ + ___ + ___ + ____

Answer:

2356 = 2000 + 300 + 50 + 6.

C. Multiply and record the partial products. Then add the partial products.

D. Is your answer reasonable? Explain.

__________________________

Answer:

Explanation:

Yes, my answer is reasonable.

**Check Understanding Math Board**

**Estimate. Then use partial products to find the product.**

Question 1.

Estimate: ____

Answer:

Explanation:

Estimate = 35 x 7 = 245

The product of 34 and 7 is 238.

Question 2.

Estimate: ____

Answer:

Explanation:

Estimate = 500 x 3 = 1500

The product of 496 and 3 is 1488.

Question 3.

Estimate: ____

Answer:

Explanation:

Estimate = 2500 x 9 = 22500

The product of 2581 and 9 is 23229.

**On Your Own**

Question 4.

**Social Studies** In 1908, President Theodore Roosevelt declared the Grand Canyon in Arizona a national monument. By 1919, the Grand Canyon became a national park. Zach, Kate, Dani, and Kito take a trip to visit the Grand Canyon. How much does the trip cost the 4 friends? ____

Answer:

\

Explanation:

$397 x 4 = $1588

The trip costs $1588 for 4 friends.

**Estimate. Then use partial products to find the product.**

Question 5.

Estimate: ____

Answer:

Explanation:

Estimate = 60 x 8 = 480

The product of 57 and 8 is 456.

Question 6.

Estimate: ____

Answer:

Explanation:

Estimate = 300 x 6 = 1800

The product of 291 and 6 is 1746.

Question 7.

Estimate: ____

Answer:

Explanation:

Estimate = 3600 x 5 = 18000

The product of 3684 and 5 is 18420.

**Estimate. Then rewrite the problem vertically and use partial products to find the product.**

Question 8.

Estimate: ___

3 × 195

Answer:

Explanation:

Estimate = 200 x 3 = 600

The product of 3 and 195 is 585.

Question 9.

Estimate: ___

9 × 76

Answer:

Explanation:

Estimate = 80 x 9 = 720

The product of 9 and 76 is 684.

Question 10.

Estimate: ___

7 × 2,408

Answer:

Explanation:

Estimate = 2400 x 7 = 16800

The product of 7 and 2408 is 16856.

**I’m in a Learning Mindset!**

How do I get back on track if I become distracted?

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