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## Texas Go Math Grade 4 Lesson 1.3 Answer Key Compare and Order Numbers

**Unlock the Problem**

Grand Canyon National Park in Arizona had 651,028 visitors in June and 665,188 visitors in July. In which month did the park have more visitors?

How many visitors were there in June?

Answer:

It is given that

Grand Canyon National Park in Arizona had 651,028 visitors in June and 665,188 visitors in July

Hence, from the above,

We can conclude that

The number of visitors in June are: 651,028

How many visitors were there in July?

Answer:

It is given that

Grand Canyon National Park in Arizona had 651,028 visitors in June and 665,188 visitors in July

Hence, from the above,

We can conclude that

The number of visitors in July are: 665,188

**Share and Grow**

Question 1.

Compare 145,158,190 and 145,185,170.

Write <, >, or = Use the place-value chart to help.

145,158,190 _________ 145,185,170

Answer:

The given numbers are: 145,158,190 and 145,185,170

Now,

The given place-value chart for the given numbers is:

Now,

From the above place-value chart,

We can observe that

The Thousand’s period is greater in 145,185,170 than in 145,158,190

Hence, from the above,

We can conclude that

**Compare. Write <, >, or =.**

Question 2.

7,458,562,333 _________ 7,457,541,753

Answer:

The given numbers are: 7,458,562,333 and 7,457,541,753

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value charts,

We can observe that

The Million’s period is greater in 7,458,562,333 than in 7,457,541,753

Hence, from the above,

We can conclude that

Question 3.

56,991 _________ 52,880

Answer:

The given numbers are: 56,991 and 52,880

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value charts,

We can observe that

The Thousand’s period is greater in 56,991 than in 52,880

Hence, from the above,

We can conclude that

Question 4.

708,651,515 _________ 629,672,484

Answer:

The given numbers are: 708,651,515 and 629,672,484

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value charts,

We can observe that

The Million’s period is greater in 708,6511,515 than in 629,672,484

Hence, from the above,

We can conclude that

Question 5.

1,430,620 _________ 986,435

Answer:

The given numbers are: 1,430,620 and 986,435

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value charts,

We can observe that

The Million’s period is greater in 1,430,620 than in 986,435

Hence, from the above,

We can conclude that

**Order from greatest to least**

Question 6.

20,650; 21,150; 20,890

Answer:

The given numbers are: 20,650. 21,150, and 20,890

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value charts,

We can observe that

21,150 > 20,890 > 20,650

Hence, from the above,

We can conclude that

The order of the numbers from the greatest to the least is:

21,150 > 20,890 > 20,650

**Problem Solving**

**H.O.T.**

**Algebra Write all of the digits that can replace each **

Question 7.

567 < 5 5 < 582 ____________

Answer:

Let the missing digit be x

Now,

The given pattern is:

567 < 5×5 < 582

Now,

From the above pattern,

We can observe that

The ten’s place-value in the given pattern is increasing

So,

The missing number should be: 7

Hence, from the above,

We can conclude that

The completed pattern is:

567 < 575 < 582

Question 8.

3,408 < 3, 30 < 3,540 ____________

Answer:

Let the missing digit be x

Now,

The given pattern is:

3,408 < 3,x30 < 3,540

Now,

From the above pattern,

We can observe that

The hundred’s place-value in the given pattern is increasing and then becomes constant

So,

The missing number should be: 5

Hence, from the above,

We can conclude that

The completed pattern is:

3,408 < 3,530 < 3,540

**Use the pictograph for 9-11.**

Question 9.

In which month shown did the Grand Canyon National Park have about 7,500 tent campers?

Answer:

The given pictograph is:

Now,

From the above pictograph,

We can observe that

Hence, from the above,

We can conclude that

September month shows that the Grand Canyon National Park has about 7,500 tent campers

Question 10.

Which months had more than 10,000 tent campers?

Answer:

The given pictograph is:

Now,

From the above pictograph,

We can observe that

Hence, from the above,

We can conclude that

July and August months had more than 10,000 tent campers

Question 11.

**What if **during the month of October, the park had 22,500 tent campers? How many symbols would be placed on the pictograph for October?

Answer:

It is given that

During the month of October, the park had 22,500 tent campers

Now,

The given pictograph is:

So,

From the above pictograph,

We can observe that

The number of symbols that would be placed on the pictograph for October = \(\frac{22,500}{5,000}\)

= 4.5

Hence, from the above,

We can conclude that

The number of symbols that would be placed on the pictograph for October is: 4 full symbols + \(\frac{1}{2}\) symbol

Question 12.

**H.O.T. What’s the Question?**

Compare: 17,643,251; 17,633,512; and 17,633,893. The answer is 17,633,512,

Answer:

The given numbers are: 17,643,251, 17,633,512, and 17,633,893

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value chart,

We can observe that

The order of the numbers from the greatest to the least is:

17,643,251 > 17,633,893 > 17,633,512

Hence, from the above,

We can conclude that

The question required for this problem is:

What is the least number?

Question 13.

**Multi-Step What’s the Error?**

Max said that 36,594,145 is less than 5,980,251 because 3 is less than 5. Describe Max’s error and give the correct answer.

Answer:

It is given that

Max said that 36,594,145 is less than 5,980,251 because 3 is less than 5

Now,

The given numbers is: 36,594,145 and 5,980,251

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value chart,

We can observe that

The Million’s period is greater i.e., 3 > 0

Hence, from the above,

We can conclude that

Max’s error is: Misplacement of digits in the place-value chart

The correct answer is:

36,594,145 > 5,980,251

**Daily Assessment Task**

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

Question 14.

The hotter a pepper, the higher the number of units it is rated. The Scotch bonnet pepper isn’t as hot as a Fatali pepper. Which could be the rating of the Scotch bonnet pepper?

(A) 325,500 units

(B) 400,000 units

(C) 330,000 units

(D) 300,000 units

Answer:

It is given that

The hotter a pepper, the higher the number of units it is rated. The Scotch bonnet pepper isn’t as hot as a Fatali pepper

Now,

The given rating of Fatali pepper is: 325,000 units

Now,

According to the given information,

The rating of Scotch bonnet pepper will be less than the rating of Fatali pepper i.e., less than 325,000 units

Hence, from the above,

We can conclude that

The rating of the Scotch bonnet pepper is:

Question 15.

Which statement about 3,584,271 and 3,564,092 is true?

(A) 3,584,271 < 3,564,092

(B) 3,584,271 > 3,564,092

(C) 3,584,271 = 3,564,092

(D) 3,564,092 > 3,584,271

Answer:

The given numbers are: 3,584,271 and 3,564,092

Now,

The representation of the given numbers in the place-value chart is:

So,

From the above place-value chart,

We can observe that

3,584,271 > 3,564,092

Hence, from the above,

We can conclude that

The statement about the given numbers that is true is:

Question 16.

**Multi-Step** The attendance for 3 baseball games was 38,454 people; 38,198 people; and 36,572 people. Which shows the number of people who attended each game written in order from least to greatest?

(A) 36,572 < 38,198 < 38,454

(B) 38,454 < 38,198 < 36,572

(C) 36,572 < 38,454 < 38,198

(D) 38,454 <36,572 <38,198

Answer:

It is given that

The attendance for 3 baseball games was 38,454 people; 38,198 people; and 36,572 people

Now,

The representation of the given numbers in the place-value chart is:

So,

From the above place-value chart,

We can observe that

36,572 < 38,198 < 38,454

Hence, from the above,

We can conclude that

The number of people who attended each game written in order from the least to the greatest is:

**TEXAS Test Prep**

Question 17.

Zachary’s school set a goal of collecting 12,155 cans of food each day. In the first 3 days they collected 12,250 cans; 10,505 cans; and 12,434 cans. Which total was less than their daily goal?

(A) 12,434

(B) 12,250

(C) 12,155

(D) 10,505

Answer:

It is given that

Zachary’s school set a goal of collecting 12,155 cans of food each day. In the first 3 days they collected 12,250 cans; 10,505 cans; and 12,434 cans

Now,

According to the given information,

The comparison of numbers is:

12,155 < 12,250

12,155 > 10,505

12,155 < 12,434

Hence, from the above,

We can conclude that

The total that was less than their daily goal is:

### Texas Go Math Grade 4 Lesson 1.3 Homework and Practice Answer Key

**Compare. Write <, >, or =.**

Question 1.

$6,462 __________ $6,471

Answer:

The given numbers are: 6,462 and 6,471

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value chart,

We can observe that

Ten’s place is greater in 6,462 than in 6,471

Hence, from the above,

We can conclude that

Question 2.

453,536 __________ 451,626

Answer:

The given numbers are: 453,536 and 451,626

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value chart,

We can observe that

Thousand’s place is greater in 453,536 than in 451,626

Hence, from the above,

We can conclude that

**Order from greatest to least.**

Question 3.

87,262; 78,529; 78,811

Answer:

The given numbers are: 87,262, 78,529, and 78,811

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value chart,

We can observe that

87,262 > 78,811 > 78,529

Hence, from the above,

We can conclude that

The order of the numbers from the greatest to the least is:

87,262 > 78,811 > 78,529

Question 4.

125,162; 212,225; 128,361

Answer:

The given numbers are: 125,162, 212,225, and 128,361

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value chart,

We can observe that

212,225 > 128,361 > 125,182

Hence, from the above,

We can conclude that

The order of the numbers from the greatest to the least is:

212,225 > 128,361 > 125,182

Write all of the digits that can replace each .

Question 5.

735 < 7 4 < 761

Answer:

Let the missing digit be: x

Now,

The given pattern is:

735 < 7×4 < 761

Now,

From the above pattern,

We can observe that

Ten’s place-value is increasing

So,

The missing number should be: 4 (or) 5

Hence, from the above,

We can conclude that

735 < 744 < 761 (or) 735 < 754 < 761

Question 6.

2,307 < 2 55 < 2,739

Answer:

Let the missing digit be: x

Now,

The given pattern is:

2,307 < 2,x55 < 2,739

Now,

From the above pattern,

We can observe that

Hundred’s place-value is increasing

So,

The missing number should be: 4 (or) 5 (or) 6

Hence, from the above,

We can conclude that

2,307 < 2,455 < 2,739 (or) 2,307 < 2,555 < 2,739 (or) 2,307 < 2,655 < 2,739

**Problem Solving**

**Use the pictograph for 7-8.**

Question 7.

During which months did more than 10,000 people attend the circus?

Answer:

The given pictograph is:

Now,

From the above pictograph,

We can observe that

Hence, from the above,

We can conclude that

During June and July months, more than 10,000 people attended the circus

Question 8.

List the months in order from greatest attendance to least attendance.

Answer:

The given pictograph is:

Now,

From the above pictograph,

We can observe that

Hence, from the above,

We can conclude that

The order of the months in order from the greatest attendance to the least attendance is:

July > June > August > May

**Lesson Check**

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

Question 9.

Leahâ€™s car has 156,261 miles on the odometer. Caseyâ€™s car has 165,002 miles on the odometer. Which statement correctly compares the two mileages?

(A)156,261 < 165,002

(B) 165,002 = 156,261

(C) 156,261> 165,002

(D) 165,002 < 156,261

Answer:

It is given that

Leahâ€™s car has 156,261 miles on the odometer. Caseyâ€™s car has 165,002 miles on the odometer

Now,

The given numbers are: 156,261 and 165,002

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value chart,

We can observe that

165,002 > 156,261

Hene, from the above,

We can conclude that

The statement that correctly compares the two mileages is:

Question 10.

Which number is greater than 53,614,293?

(A) 35,828,781

(B) 53,641,192

(C) 53,416,998

(D) 50,967,299

Answer:

The given number is: 53,614,293

Hence, from the above,

We can conclude that

The number that is greater than 534,614,293 is:

Question 11.

Which number makes this statement true?

42,607 > ____________ >40,352

(A) 40,255

(B) 38,976

(C) 42,875

(D) 42,410

Answer:

Let the missing number be: x

Now

The given pattern is:

42,607 > x > 40,352

Now,

From the above pattern,

We can observe that

x < 42,607 and x > 40,352

Hence, from the above,

We can conclude that

The number that makes the given statement true is:

Question 12.

Which digits can replace the to make a true statement?

6,456 < 6, 12 < 6,788

(A) 5, 6

(B) 4, 5, 6

(C) 5, 6, 7

(D) 4, 5, 6, 7

Answer:

Let the missing digit be: x

Now,

The given pattern is:

6,456 < 6,x12 < 6,788

Now,

From the above pattern,

We can observe that

The Hundred’s place-value is increasing

So,

The missing digit should be: 5 (or) 6

Hence, from the above,

We can conclude that

The digits that can replace the to make a true statement are:

Question 13.

**Multi-Step** At Tedâ€™s Used Cars, the sales staff set a goal of $25,500 in sales each week. The sales for three weeks were $28,288; $25,369; and $25,876. Which total did not meet the goal?

(A) $25,500

(B) $28,288

(C) $25,369

(D) $25,876

Answer:

It is given that

At Tedâ€™s Used Cars, the sales staff set a goal of $25,500 in sales each week. The sales for three weeks were $28,288; $25,369; and $25,876

Now,

The given numbers are: 28,288, 25,369, and 25,876

Now,

Compare the given numbers with 25,500

So,

25,500 < 28,888

25,500 > 25,369

25,200 < 25,876

Hence, from the above,

We can conclude that

The total that did not meet the goal is:

Question 14.

**Multi-Step** Over three years a factory produced 3,516,235; 2,965,005 and 3,261,636 cans of soup. Which lists the numbers in order from least to greatest?

(A) 2,965,005; 3,261,636; 3,516,235

(B) 3,516,235; 3,261,636; 2,965,005

(C) 2,965,005; 3,516,235; 3,261,636

(D) 3,261,636; 2,965,005; 3,516,235

Answer:

It is given that

Over three years a factory produced 3,516,235; 2,965,005 and 3,261,636 cans of soup

Now,

The given numbers are: 3,516,235, 2,965,005, and 3,261,636

Now,

The representation of the given numbers in the place-value chart is:

Now,

From the above place-value chart,

We can observe that

3,516,235 > 3,261,636 > 2,965,005

Hence, from the above,

We can conclude that

The order of the numbers from the least to the greatest is: