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

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.  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.  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  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.  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.  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
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

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: _______________ A Different Way:
(40 × 6) – (6 × 1)
240 – 6 = 234

b. Standard Algorithm: _______________
A Different Way: _______________ A Different Way:
(50 × 7) + (1 × 7)
350 + 7 = 357

c. Standard Algorithm: _______________
A Different Way: _______________ A Different Way:
(60 × 7) + (5 × 7) = 420 + 35 = 455

d. Standard Algorithm: _______________
A Different Way: _______________ 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 b.  700 800 900 1,000 c. Circle the method that seems to help most for estimating the answers to these problems.
Standard Algorithm
Partial Products
Over Strategy
Rounding
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.
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.
252 × 6 = $1512. Thus they make$1512.