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## Texas Go Math Grade 5 Lesson 2.2 Answer Key Multiply by 2-Digit Numbers

**Unlock the Problem**

A Siberian tiger sleeps as much as 18 hours a day, or 126 hours per week. About how many hours does a tiger sleep in a year? There are 52 weeks in one year.

**Use place value and regrouping**

STEP 1: Estimate: 126 × 52

Think: 100 × 50 = 5,000

STEP 2: Multiply by the ones.

126 × 2 ones = 2 ones

STEP 3: Multiply by the tens.

126 × 5 tens = 630 tens, or 6300 ones

STEP 4: Add the partial products.

**Remember**

Use patterns of zeros to find the product of multiples of 10.

3 × 4 = 12

3 × 40 = 120

30 × 40 = 1,200

3 × 400 = 1,200

300 × 40 = 12,000

So,

A Siberian tiger sleeps about 6,552 hours in one year.

**Math Talk**

**Mathematical Processes**

Are there different numbers you could have used in Step 1 to find an estimate that is closer to the actual answer? Explain.

Answer:

From the above Problem,

We can observe that

Step 1:

Estimate: 100 × 50

Now,

The actual numbers are: 126 × 52

So,

The different sets of numbers that can also be used to find the Estimate are:

125 × 50

= 6,250

Hence, from the above,

We can conclude that

Yes, we can use the different sets of numbers to find an estimate that is closer to the actual answer

**Share and Show**

**Complete to find the product.**

Question 1.

Answer:

The given multiplication expression is: 64 × 43

Now,

Hence, from the above,

We can conclude that

The value for the given expression is: 2,752

Question 2.

Answer:

The given multiplication expression is: 571 ×38

Now,

Hence, from the above,

We can conclude that

The value for the given expression is: 21,698

**Estimate. Then find the product.**

Question 3.

Estimate: ___________

Answer:

The given multiplication expression is: 24 × 15

Now,

Now,

Estimate: 20 × 15 = 300

Hence, from the above,

We can conclude that

The value for the given expression is: 360

Question 4.

Estimate: ____________

Answer:

The given multiplication expression is: 37 × 63

Now,

Now,

Estimate: 40 × 60 = 2,400

Hence, from the above,

We can conclude that

The value for the given expression is: 2,331

Question 5.

Estimate: _____________

Answer:

The given multiplication expression is: 384 × 45

Now,

Now,

Estimate: 380 × 50 = 19,000

Hence, from the above,

We can conclude that

The value for the given expression is: 17,280

**Problem Solving**

**Practice: Copy and Solve Estimate. Then find the product.**

Question 6.

54 × 31

Answer:

The given multiplication expression is: 54 × 31

Now,

Now,

Estimate: 30 × 50 = 1,500

Hence, from the above,

We can conclude that

The value for the given expression is: 1,674

Question 7.

42 × 26

Answer:

The given multiplication expression is: 42 × 26

Now,

Now,

Estimate: 40 × 25 = 1,000

Hence, from the above,

We can conclude that

The value for the given expression is: 1,092

Question 8.

38 × 64

Answer:

The given multiplication expression is: 38 × 64

Now,

Now,

Estimate: 40 × 65 = 2,600

Hence, from the above,

We can conclude that

The value for the given expression is: 2,432

Question 9.

63 × 16

Answer:

The given multiplication expression is: 63 × 16

Now,

Now,

Estimate: 60 × 15 = 900

Hence, from the above,

We can conclude that

The value for the given expression is: 1,008

Question 10.

204 × 41

Answer:

The given multiplication expression is: 204 × 41

Now,

Now,

Estimate: 200 × 40 = 8,000

Hence, from the above,

We can conclude that

The value for the given expression is: 8,364

Question 11.

534 × 25

Answer:

The given multiplication expression is: 534 × 25

Now,

Now,

Estimate: 530 × 25 = 13,250

Hence, from the above,

We can conclude that

The value for the given expression is: 13,350

Question 12.

722 × 39

Answer:

The given multiplication expression is: 722 × 39

Now,

Now,

Estimate: 720 × 40 = 28,800

Hence, from the above,

We can conclude that

The value for the given expression is: 28,158

Question 13.

957 × 43

Answer:

The given multiplication expression is: 957 × 43

Now,

Now,

Estimate: 960 × 40 = 38,400

Hence, from the above,

We can conclude that

The value for the given expression is: 41,151

Question 14.

When you multiply 235 and 4 tens in 235 × 43, why does its product have a zero in the one’s place? Explain.

Answer:

It is given that

You multiply 235 and 4 tens in 235 × 43

Now,

In 235 × 43,

The partial products are: 235 × 3 and 235 × 40

So,

In 235 × 40,

We can write 235 × 40 as 235 × 4 × 10

Since,

We are multiplying 235 × 4 with 10, the product will have the last digit as zero

Question 15.

**Write Math** **Communicate** How is multiplying a number by a 2-digit number similar to multiplying the number by a 1-digit number? How is it different?

Answer:

Line the numbers up by place value.

Example:

Regroup 12 into 1 ten and 2 ones. Add the 1 ten you regrouped. Because the 2 represents tens, the numbers will start in the tens column.

Now,

Step One: Line Up All the Digits. First, line up all of the numbers according to their place value.

Step Two: Multiply by the One’s Digit.

Step Three: Add a Zero Place Holder.

Step Four: Multiply by the Tens Digit.

Step Five: Add the Two Answer Rows Together.

**Problem Solving**

**Use the table for 16-19**

Question 16.

How much sleep does a jaguar get in 1 year?

Answer:

The given table is:

Now,

From the given table,

We can observe that

Jaguar sleeps 77 hours per week

Now,

We know that,

1 Year = 52 weeks

So,

The number of hours a Jaguar sleeps in 1 year = (The number of weeks in a year) × (The number of hours a Jaguar sleeps in a week)

= 77 × 52

Now,

Hence, from the above,

We can conclude that

The number of hours a Jaguar sleeps in 1 year is:4,004 hours

Question 17.

**H.O.T. Multi-Step** In 1 year, how many more hours of sleep does a giant armadillo get than a platypus?

Answer:

The given table is:

Now,

From the above table,

We can observe that

The number of hours Giant Armadillo sleeps per week is: 127 hours

The number of hours Platypus sleeps per week is: 98 hours

So,

The difference between the sleeping hours of Giant Armadillo and Platypus per week = 127 – 98

= 29 hours

Now,

We know that,

1 year = 52 weeks

So,

The difference between the sleeping hours of Giant Armadillo and Platypus = (The number of weeks in a year) × (The difference between the number of sleeping hours of Giant Armadillo and Platypus per week)

= 52 × 29

Now,

Hence, from the above,

We can conclude that

In 1 year, the number of more hours of sleep does a giant armadillo gets than a platypus is: 1,508 hours

Question 18.

**H.O.T. Multi-Step** Owl monkeys sleep during the day, waking about 15 minutes after sundown to find food. At midnight, they rest for an hour or two, then continue to feed until sunrise. How many hours are owl monkeys awake in 1 year?

Answer:

It is given that

Owl monkeys sleep during the day, waking about 15 minutes after sundown to find food. At midnight, they rest for an hour or two, then continue to feed until sunrise

Now,

The given table is:

Now,

We know that,

1 hour = 60 minutes

So,

The number of minutes the owl monkeys will awake in 1 year = 52 × 15 × 7

= 15 × 365

Now,

So,

The number of hours the owl monkeys will awake in 1 year = \(\frac{5,475}{60}\)

= 91.25 hours

Hence, from the above,

We can concldue that

The number of hours the owl monkeys will awake in 1 year is: 91.25 hours

Question 19.

Three-toed sloths move very slowly, using as little energy as possible. They sleep, eat, and even give birth upside down. A baby sloth may cling to its mother for as much as 36 weeks after being born. How much of that time is the sloth asleep?

Answer:

It is given that

Three-toed sloths move very slowly, using as little energy as possible. They sleep, eat, and even give birth upside down. A baby sloth may cling to its mother for as much as 36 weeks after being born.

Now,

The given table is:

Now,

From the above table,

We can observe that

The number of hours a Three-Toed Sloth sleeps per week is: 101 hours

So,

The number of hours a Three-Toed Sloth sleeps in 36 weeks = 36 × 101

Now,

Hence, from the above,

We can conclude that

The number of hours a Three-Toed Sloth sleeps in 36 weeks is: 3,636 hours

Question 20.

A tiger can eat as much as 40 pounds of food at a time, but it may go for several days without eating anything. Suppose a Siberian tiger in the wild eats an average of 18 pounds of food per day. How much food will the tiger eat in 28 days if he eats that amount each day?

Answer:

It is given that

A tiger can eat as much as 40 pounds of food at a time, but it may go for several days without eating anything. Suppose a Siberian tiger in the wild eats an average of 18 pounds of food per day.

So,

The amount of food a Siberian Tiger eats in 28 days = 28 × 18

Now,

Hence, from the above,

We can conclude that

The amount of food a Siberian Tiger eats in 28 days is: 504 pounds

Question 21.

**Multi-Step** Tickets to a museum cost $17 each. For a field trip, the museum offers a $4 discount on each ticket. How much will tickets for 32 students cost?

Answer:

It is given that

Tickets to a museum cost $17 each. For a field trip, the museum offers a $4 discount on each ticket

So,

The total cost of a ticket = $17 – $4

= $13

So,

The cost of tickets for 32 students = 32 × $13

Now,

Hence, from the above,

We can conclude that

The total cost of tickets for 32 students is: $416

**Daily Assessment Task**

**Fill in the bubble completely to show your answer.**

Question 22.

In a locker, you find the ultimate puzzle book with 385 pages. There is also a clue leading you to another locker. Multiply the number of pages by 23 to get the code for the next locker. What is the code?

(A) 7,755

(B) 6,545

(C) 1,925

(D) 8,855

Answer:

It is given that

In a locker, you find the ultimate puzzle book with 385 pages. There is also a clue leading you to another locker. Multiply the number of pages by 23 to get the code for the next locker

So,

The code for the next locker = 385 × 23

Now,

Hence, from the above,

We can conclude that

The code for the next locker is:

Question 23.

Which estimate will help you solve this multiplication problem?

246 × 17 = _________________

(A) 200 × 10

(B) 300 × 10

(C) 200 × 20

(D) 300 × 20

Answer:

The given multiplication expression is: 246 × 17

So,

The estimates for the given multiplication expressions are:

250 × 20 (or) 200 × 20

Hence, from the above,

We can conclude that

The estimate that will help you to solve the given multiplication problem is:

Question 24.

**Multi-Step** Charlie worked 45 hours this week. He earned $12 per hour. If he spent $134 on a new bicycle, how much money does he have left?

(A) $383

(B) $406

(C) $414

(D) $674

Answer:

It is given that

Charlie worked 45 hours this week. He earned $12 per hour. If he spent $134 on a new bicycle

So,

The amount of money does Charlie has left = (45 × $12) – $134

= $540 – $134

= $406

Hence, from the above,

We can conclude that

The amount of money does Charlie has left is:

**Texas Test Prep**

Question 25.

A sloth’s maximum speed on the ground is 15 feet in 1 minute. Even though it would be unlikely for a sloth to stay in motion for more than a few moments, how far would a sloth travel in 45 minutes at that speed?

(A) 270 feet

(B) 60 feet

(C) 675 feet

(D) 6,750 feet

Answer:

It is given that

A sloth’s maximum speed on the ground is 15 feet in 1 minute

So,

The distance traveled by the Sloth in 45 minutes = 45 × 15

Now,

Hence, from the above,

We can conclude that

The distance traveled by Sloth in 45 minutes is:

### Texas Go Math Grade 5 Lesson 2.2 Homework and Practice Answer Key

**Estimate. Then find the product.**

Question 1.

34 × 12

Answer:

The given multiplication expression is: 34 × 12

Now,

Now,

Estimate: 35 × 10 = 350

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 408

Question 2.

18 × 22

Answer:

The given multiplication expression is: 18 × 22

Now,

Now,

Estimate: 20 × 20 = 400

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 396

Question 3.

43 × 15

Answer:

The given multiplication expression is: 43 × 15

Now,

Now,

Estimate: 40 × 15 = 600

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 600

Question 4.

58 × 37

Answer:

The given multiplication expression is: 58 × 37

Now,

Now,

Estimate: 40 × 60 = 2,400

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 2,146

Question 5.

328 × 15

Answer:

The given multiplication expression is: 328 × 15

Now,

Now,

Estimate: 330 × 15 = 4,950

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 4,950

Question 6.

922 × 30

Answer:

The given multiplication expression is: 922 × 30

Now,

Now,

Estimate: 900 × 30 = 27,000

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 27,000

Question 7.

832 × 13

Answer:

The given multiplication expression is: 832 × 13

Now,

Now,

Estimate: 830 × 13 = 10,790

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 10,816

Question 8.

372 × 24

Answer:

The given multiplication expression is: 372 × 24

Now,

Now,

Estimate: 370 × 25 = 9,250

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 8,928

Question 9.

823 × 17

Answer:

The given multiplication expression is: 823 × 17

Now,

Now,

Estimate: 820 × 20 = 16,400

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 13,991

Question 10.

472 × 31

Answer:

The given multiplication expression is: 472 × 31

Now,

Now,

Estimate: 470 × 30 = 13,100

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 14,632

Question 11.

517 × 43

Answer:

The given multiplication expression is: 517 × 43

Now,

Now,

Estimate: 520 × 40 = 20,800

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 22,231

Question 12.

658 × 83

Answer:

The given multiplication expression is: 658 × 83

Now,

Now,

Estimate: 660 × 80 = 52,800

Hence, from the above,

We can conclude that

The result for the given multiplication expression is: 54,614

**Problem Solving**

Question 13.

A male lion needs as much as 15 pounds of food each day, or 105 pounds of food each week. How much food does a lion need in one year? There are 52 weeks in one year.

Answer:

It is given that

A male lion needs as much as 15 pounds of food each day, or 105 pounds of food each week

So,

The number of pounds of food a male lion need in one year = 105 × 52

Now,

Hence, from the above,

We can conclude that

The number of pounds of food a male lion need in one year is: 5,460 pounds

Question 14.

An African elephant in the wild will eat for as long as 16 hours each day. For how many hours does an elephant eat in one year? There are 365 days in one year.

Answer:

It is given that

An African elephant in the wild will eat for as long as 16 hours each day

So,

The number of hours an elephant eats in one year = 16 × 365

Now,

Hence, from the above,

We can conclude that

The number of hours an elephant eats in one year is: 5,840 hours

**Lesson Check**

**Fill In the bubble completely to show your answer.**

Question 15.

During the school year, Luis fills 138 pages of a composition notebook. There is a clue on the last page of the notebook. It says to multiply the number of pages in the book that were filled by 17. This is the code for a free prize in the lunchroom. What is the code?

(A) 2,432

(B) 1,240

(C) 2,346

(D) 2,436

Answer:

It is given that

During the school year, Luis fills 138 pages of a composition notebook. There is a clue on the last page of the notebook. It says to multiply the number of pages in the book that were filled by 17

So,

The code for a free prize in the lunchroom = 138 × 17

Now,

Hence, from the above,

We can conclude that

The code for a free prize in the lunchroom is:

Question 16.

To train for a race, Jesse rode his bike for 48 minutes every day for 17 days. He estimates that he rode his bike for about 400 minutes in all. Which of the following statements is true?

(A) Jesse estimated correctly.

(B) Jesse rode his bike for about 1,000 minutes.

(C) Jesse rode his bike for about 70 minutes.

(D) Jesse rode his bike for about 500 minutes.

Answer:

It is given that

To train for a race, Jesse rode his bike for 48 minutes every day for 17 days. He estimates that he rode his bike for about 400 minutes in all

So,

The total number of minutes Jesse rode his bike = 48 × 17

Now,

Now,

Estimate: 50 × 20 = 1,000

Hence, from the above,

We can conclude that

The statements that are true is:

Question 17.

Marcus builds a brick wall that is 23 bricks across and 130 bricks high. Which is the best estimate of how many bricks Marcus will use to build the wall?

(A) 2,000

(B) 4,500

(C) 1,000

(D) 3,750

Answer:

It is given that

Marcus builds a brick wall that is 23 bricks across and 130 bricks high

So,

The number of bricks Marcus will use to build the wall = 130 × 23

Now,

Estimate:

The number of bricks will use to build a wall = 100 × 20

= 2,000 bricks

Hence, from the above,

We can conclude that

The best estimate of the number of bricks Marcus will use to build the wall is:

Question 18.

The parents club buys 12 cartons of pretzels to sell as refreshments at a soccer game. There are 75 bags of pretzels in one carton. How many bags of pretzels do the parents have?

(A) 860

(B) 830

(C) 900

(D) 980

Answer:

It is given that

The parents club buys 12 cartons of pretzels to sell as refreshments at a soccer game. There are 75 bags of pretzels in one carton

So,

The number of bags of pretzels the parents have = 12 × 75

Now,

Hence, from the above,

We can conclude that

The number of bags of pretzels the parents have is:

Question 19.

**Multi-Step** Marli worked 37 hours this week. She earned $15 per hour. She spent $62 on a birthday gift for her sister. How much money does Marli have left?

(A) $464

(B) $493

(C) $378

(D) $511

Answer:

It is given that

Marli worked 37 hours this week. She earned $15 per hour. She spent $62 on a birthday gift for her sister

So,

The amount of money Marli has left = (37 × $15) – $62

= $555 – $62

= $493

Hence, from the above,

We can conclude that

The amount of money Marli has left is:

Question 20.

**Multi-Step** A farmer plants a field that can fit 27 rows of pepper plants with 14 plants in each row. She can also fit 4 rows of pumpkins with 4 plants in each row. How many plants can the farmer fit in her field?

(A) 378

(B) 394

(C) 6,048

(D) 1,512

Answer:

It is given that

A farmer plants a field that can fit 27 rows of pepper plants with 14 plants in each row. She can also fit 4 rows of pumpkins with 4 plants in each row.

So,

The number of plants the farmer can fit in her field = (27 × 14) + (4 × 4)

= 378 + 16

= 394 plants

Hence, from the above,

We can conclude that

The number of plants the farmer can fit in her field is: