Practicing the **Bridges in Mathematics Grade 4 Home Connections Answer Key** **Unit 7 Module 3** will help students analyze their level of preparation.

## Bridges in Mathematics Grade 4 Home Connections Answer Key Unit 7 Module 3

**Bridges in Mathematics Grade 4 Home Connections Unit 7 Module 3 Session 2 Answer Key**

**Standard Algorithms**

Question 1.

Use the standard algorithm to solve each multiplication problem.

Answer:

24 × 7 = 238

By multiplying 24 by 7 we get 238

43 × 6 = 258

By multiplying 43 by 6 we get 258.

28 × 4 = 112

By multiplying 28 by 4 we get 112.

59 × 4 = 236

By multiplying 59 by 4 we get 236

37 × 3 = 111

By multiplying 37 by 3 we get 111

84 × 3 = 252

By multiplying 84 by 3 we get 252

33 × 8 = 264

By multiplying 33 by 8 we get 264

68 × 5 = 340

By multiplying 68 by 5 we get 340

Question 2.

Solve the problems below using the standard algorithm. Show your work.

Answer:

164 × 7 = 1148

By multiplying 164 by 7 we get 1148.

137 × 3 = 411

By multiplying 137 by 3 we get 411.

382 × 7 = 2674

By multiplying 382 by 7 we get 2674.

485 × 6 = 2910

By multiplying 485 by 6 we get 2910.

146 × 4 = 584

By multiplying 146 by 4 we get 584.

232 × 6 = 1392

By multiplying 232 by 6 we get 1392.

143 × 5 = 715

By multiplying 143 by 5 we get 715.

406 × 5 = 2030

By multiplying 406 by 5 we get 2030.

**CHALLENGE**

Answer:

1243 × 5 = 6,215

By multiplying 1243 by 5 we get 6215.

3531 × 4 = 14,124

By multiplying 3531 by 4 we get 14,124.

4325 × 4 = 17300

By multiplying 4325 by 4 we get 17300.

3478 × 9 = 31302

By multiplying 3478 by 9 we get 31302.

Question 3.

Solve each addition problem using the standard algorithm.

Answer:

457 + 392 = 849

By adding 457 and 392 we get 849.

403 + 238 = 641

By adding 403 and 238 we get 641.

573 + 348 = 921

By adding 573 and 348 we get 921

226 + 901 = 1127

By adding 226 and 901 we get 1127.

2740 + 342 = 3086

By adding 2704 and 342 we get 3046.

3029 + 1452 = 4481

By adding 3029 and 1452 we get 4481.

4098 + 3429 = 7527

By adding 4098 and 3429 we get 7527.

5768 + 7431 = 13199

By adding 5768 and 7431 we get 13199.

Question 4.

Solve each subtraction problem using the standard algorithm.

Answer:

1305 – 648 = 657

By subtracting 648 from 1305 we get 657.

638 – 553 = 85

By subtracting 553 from 638 we get 85.

503 – 229 = 274

By subtracting 229 from 503 we get 274.

1800 – 925 = 875

By subtracting 925 from 1800 we get 875.

4309 – 526 = 3783

By subtracting 526 from 4309 we get 3783.

6005 – 1347 = 4658

By subtracting 1347 from 6005 we get 4658.

5078 – 5019 = 59

By subtracting 5019 from 5078 we get 59.

2455 – 1990 = 465

By subtracting 1990 from 2455 we get 465.

Question 5.

**CHALLENGE** Fill in the missing number to make each equation true.

7,000 = 670 + (__________ × 5)

8,420 = (7 × __________) + 797

(12 × 30) – (3 × ____________) = 114

(__________ × 25) – 420 = 330

Answer:

7,000 = 670 + (__________ × 5)

7000 – 670 = x × 5

6330 ÷ 5 = x

x = 1266

8,420 = (7 × __________) + 797

8,420 = (7 × x) + 797

8420 – 797 = 7x

7623 = 7x

x = 7623/7

x = 1089

(12 × 30) – (3 × ____________) = 114

(12 × 30) – (3 × x) = 114

360 – 3x = 114

360 – 114 = 3x

246 = 3x

x = 246/3

x = 82

(__________ × 25) – 420 = 330

(x × 25) – 420 = 330

25x = 330 + 420

25x = 750

x = 750/25

x = 30

**Bridges in Mathematics Grade 4 Home Connections Unit 7 Module 3 Session 4 Answer Key**

**Choose Your Strategy**

Here are three different ways to solve 4 × 29.

Question 1.

Use the standard algorithm to solve each problem below. Then solve it a different way. Label your method. Circle the method that seemed quicker and easier.

a.

Standard Algorithm: _______________

A Different Way: _______________

Answer: 234

A Different Way:

(40 × 6) – (6 × 1)

240 – 6 = 234

b.

Standard Algorithm: _______________

A Different Way: _______________

Answer:

A Different Way:

(50 × 7) + (1 × 7)

350 + 7 = 357

c.

Standard Algorithm: _______________

A Different Way: _______________

Answer: 455

A Different Way:

(60 × 7) + (5 × 7) = 420 + 35 = 455

d.

Standard Algorithm: _______________

A Different Way: _______________

Answer:

A Different Way:

(200 × 8) – (1 × 8)

= 1600 – 8

= 1592

Question 2.

Fill in the bubble to show the best estimate for each problem. Explain your choice.

a.

350

400

450

500

Answer: 400

b.

700

800

900

1,000

Answer: 1000

c. Circle the method that seems to help most for estimating the answers to these problems.

Standard Algorithm

Partial Products

Over Strategy

Rounding

Answer:

Partial Products

Question 3.

Sam, Sarah, Deena, and TJ each have 37 marbles. How many marbles do they have in all? Write and solve an equation for this problem. Show all your work.

Answer:

Given,

Sam, Sarah, Deena, and TJ each have 37 marbles.

37 × 3 = 111 marbles

Thus they have 111 marbles in all.

Question 4.

**CHALLENGE** The kids at the high school are having a monthlong car wash. They charge $6.00 to wash a car. If they wash 28 cars a day for 9 days, how much money will they make? Write and solve an equation for this problem. Show all your work.

Answer:

Given,

The kids at the high school are having a month-long car wash. They charge $6.00 to wash a car.

If they wash 28 cars a day for 9 days

28 × 9 = 252

252 × 6 = $1512.

Thus they make $1512.