All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 1 Lesson 2 Compare and Order Whole Number Through Millions** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 1 Lesson 2 Compare and Order Whole Number Through Millions

Example 1

The table shows the two largest oceans in the world. Which ocean has a greater area?

Question 1.

Write the numbers in the place-value chart.

Answer:

Place value describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.

Question 2.

Begin at the greatest place. Compare the digits.

6 3

Since 6 is ______ than 3, then 64,186,600> 33,420,160.

So, the _____ has a greater area.

Answer:

Now compare the values.

Here asked which ocean has the greatest area.

6 > 3

Therefore, 64,186,600 > 33,420,160

Hence, the pacific ocean is greater than the Atlantic ocean.

Finally, the Pacific ocean has the greater area.

Example 2

The table shows the area in square miles in different countries. Use place value to order the countries from greatest area to least area.

Answer:

The above-given country areas and their miles

The area of Argentina = 1,068,296

The area of Australia = 2,967,893

The area of India = 1,269,338

The area of Norway = 125,181

Now we need to order them in a greatest area to least area

compare the numbers

The greatest number is 2,967,893

The least number is 125,181

Now compare the 1,269,338 and 1,068,296

The first digit is same for both the numbers. Now check for the next left-most digit

2 > 0

After sorting all the numbers, the result will be:

2,967,893; 1,269,338; 1,068,296; 125,181

The countries are Australia; India; Argentina; Norway.

**Talk Math**

When ordering whole numbers, explain what to do when the digits in the same place have the same value.

Answer:

If the first two or three digits are the same, compare the next to determine the value of the numbers.

**Guided Practice**

**Write <, >, or = in each to make a true sentence.**

Question 1.

655,543 556,543

Answer: >

Explanation:

since both, the numbers are having the same number of digits

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

according to rule 2 compare the numbers

6 > 5

Hence we use the symbol greater than

655,543 > 556,543

Question 2.

10,027,301 10,207,301

Answer: <

Explanation:

since both, the numbers are having the same number of digits

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

according to rule 2 compare the numbers

0 < 2

Hence, we use the symbol less than

10,027,301 < 10,207,301

Question 3.

Order the numbers 145,099; 154,032; 145,004; and 159,023 from greatest to least.

Answer:

For ordering the numbers from the greatest to lowest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

now compare the numbers. The first digit is the same in all the numbers.

5 > 4 and 9 > 4

The result will be:

159,023; 154,032; 145,099; 145,004

**Independent Practice**

**Write <, >, or = in each to make a true sentence.**

Question 4.

462,211 426,222

Answer:

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

We go for rule 2.

The first digit is the same for both numbers. So check for the next left-most digits

6 > 2

So the first number is greater than the second number

Here, we use > symbol.

Therefore, 462,211 > 426,222

Question 5.

42,235,909 42,324,909

Answer:

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

We go for rule 2.

The first two digits are the same for both numbers. So check for the next left-most digits

2 < 3

So the first number is less than the second number

Here, we use < symbol

Therefore, 42,235,909 < 42,324,909

Question 6.

20,318,523 21,318,724

Answer:

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

We go for rule 2.

The first digit is the same for both numbers. So check for the next left-most digits

0 < 1

So the first number is less than the second number

Here, we use < symbol

Therefore, 20,318,523 < 21,318,724

Question 7.

96,042,317 96,042,317

Answer:

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

all the numbers are equal on both sides

96,042,317 = 96,042,317

The “equal to” symbol is used to represent two equal numbers or quantities.

Question 8.

132,721,424 132,721

Answer:

In this problem, we are going to use rule 1:

When we compare numbers, then check if both the numbers are having the same number of digits or not. If a number has more digits, then it is greater than the other number.

Here, the first number is greater than second number

132,721,42 > 132,721

Question 9.

152,388,000 152,388,010

Answer:

In this problem, we are going to use rule 2

This rule is applicable when two numbers are having the same number of digits. In such cases, we need to check the digit at the leftmost place, whichever is greater. Therefore, the number with a greater digit at the leftmost place of the number is greater than the other number.

The first seven digits are the same. So check for the next left-most digit

0 < 1

Hence, the first number is less than the second number

152,388,000 < 152,388,010

Question 10.

113,222,523 113,333,523

Answer:

In this problem, we are going to use rule 2

This rule is applicable when two numbers are having the same number of digits. In such cases, we need to check the digit at the leftmost place, whichever is greater. Therefore, the number with a greater digit at the leftmost place of the number is greater than the other number.

The first three digits are the same. So check for the next left-most digit

2 < 3

Hence, the first number is less than the second number

Therefore, 113,222,523 < 113,333,523

Question 11.

767,676,767 676,767,676

Answer:

In this problem, we are going to use rule 2

This rule is applicable when two numbers are having the same number of digits. In such cases, we need to check the digit at the leftmost place, whichever is greater. Therefore, the number with a greater digit at the leftmost place of the number is greater than the other number.

Check for the digits whose number is greater and lesser

7 > 6

Hence, the first number is greater than the second number.

Therefore, 767,676,767 > 676,767,676

**Order the numbers from greatest to least.**

Question 12.

138,023; 138,032; 139,006; 183,487

_____________________

Answer:

For ordering the numbers from the greatest to lowest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

The first digit is the same for all the numbers

Now check for the next left-most digit

8 < 9; 3 < 8

after sorting the numbers, the result will be:

183487, 139006, 138032, 138023

Question 13.

3,452,034; 4,935,002; 34,035,952; 34,530,953

_____________________

Answer:

since the numbers are having the same digits so check for the next left-most digit as per rule 2.

We can easily identify the greatest number

4 > 3

The greatest one is 4,935,002

now check for the first and third numbers: 5 > 0

now check for the first and final numbers: 3 > 2

after sorting the numbers, the result will be:

34530953, 34035952, 4935002, 3452034

Question 14.

731,364,898; 731,643,898; 73,264,898; 731,643,989

_____________________

Answer:

since the 731,364,898; 731,643,898 and 731,643,989 are having the same digits so check for the next left-most digit as per rule 2.

The number 73,264,898 is less compared to all the numbers

Now check for the above three numbers

The first three digits are the same so check for the next left-most digit

6 > 3

and check for the second and fourth numbers: 9 > 8

after sorting the numbers, the result will be:

731643989, 731643898, 731364898, 73264898

Question 15.

395,024,814; 593,801,021; 395,021,814; 39,021,814

_____________________

Answer:

We can find out the greatest number easily

compare the numbers

5 > 3

The greatest number is 593,801,021

The least number is 39,021,814

Now compare the first and third numbers

4 > 1

After sorting the numbers, the result will be:

593,801,021; 395,024,814; 395,021,814; 39,021,814

**Order the numbers from least to greatest.**

Question 16.

85289688; 85,290,700; 85,285,671; 85,301,001

_____________________

Answer:

For ordering the numbers from least to greatest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

The first two digits are the same. So compare the next left-most digit.

3 > 2

The greatest one is 85,301,001

Now compare the next left-most digit

9 > 8

The second greatest one is 85,290,700

after sorting the numbers the result will be:

85285671, 85289688, 85290700, 85301001

Question 17.

32,356,800; 33,353,800; 32,937,458; 33,489,251

_____________________

Answer:

For ordering the numbers from least to greatest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

The first digit is the same now check for the next left-most digit

After sorting the numbers the result will be:

32356800, 32937458, 33353800, 33489251

Question 18.

2,009,146; 2,037,579; 2,006,981; 2,011,840

_____________________

Answer:

For ordering the numbers from least to greatest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

The first two digits are the same now check for the next left-most digit.

0 < 3; likewise, check all the digits

In the first and third numbers, check for the fourth digit: 9 > 6

after sorting the numbers:

2006981, 2009146, 2011840, 2037579

Question 19.

854,236,100; 855,963,250; 855,903,675; 854,114,370

_____________________

Answer:

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

The first two digits are the same now check for the next left-most digit.

In the first and last numbers, check the fourth digit: 2 < 1

For the second and third numbers, check the fifth digit: 6 > 0

after sorting the numbers, the result will be:

854114370, 854236100, 855903675, 855963250

**Problem Solving**

Question 20.

Rank the following states from least to greatest population.

Answer:

The population of Alabama = 4,627,851

The population of Colorado = 4,861,515

The population of Mississippi = 2,918,785

The population of Ohio = 11,466,917

Now compare all the numbers.

The least one is 2,918,785

The greater one is 11,466,917

Now we need to compare the 4,627,851 and 4,861,515

The first digit is the same and needs to check the next left-most digit

6 < 8

After the sorting of numbers, the result will be:

2,918,785; 4,627,851; 4,861,515; 11,466,917

Question 21.

Order the cars from most expensive to least expensive.

Answer:

The expensive Bugatti Veyron 16.4 = 1,192,057

The expensive Leblanc Mirabeau = 645,084

The expensive Pagani Zonda Roadster = 667,321

The expensive Saleen S7 = 555,000

The most expensive car is 1,192,057 according to rule 1.

The least expensive car is 555,000

Now compare the 645,084 and 667,321

The first digit is the same and now check the next left-most digit

4 < 6

After sorting the numbers the result will be:

1,192,057; 667,321; 645,084; 555,000

**Hot Problems**

Question 22.

**Mathematical PRACTICE 2** Reason Write three numbers that are greater than 75,300,000 but less than 75,400,000.

Answer:

75300100, 75300200, 75300900

we can compare the above numbers with the above-given numbers by using certain rules.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

Rule 1: Numbers with more digits

When we compare numbers, then check if both the numbers are having the same number of digits or not. If a number has more digits, then it is greater than the other number.

Rule 2: Numbers starting with a larger digit

This rule is applicable when two numbers are having the same number of digits. In such cases, we need to check the digit at the leftmost place, whichever is greater. Therefore, the number with a greater digit at the leftmost place of the number is greater than the other number.

Question 23.

**? Building on the Essential Question** How do you compare whole numbers through the millions?

Answer:

A positive number is greater than a negative number. If both numbers are positive, the longer number – the one with more digits – is larger. If both have the same number of digits, compare the digits from the left, one at a time until you find one that is different. The one with the larger digit in this last comparison is the larger number.

or

You can compare numbers through the millions by looking at the value of each digit starting at the millions place of each number.

### McGraw Hill My Math Grade 5 Chapter 1 Lesson 2 My Homework Answer Key

**Practice**

**Write <, >, or = in to make a true sentence.**

Question 1.

67,982,001 67,892,001

Answer: >

Explanation:

We need to compare the numbers.

we go for rule 2

since both, numbers are having the same number of digits. We will compare the next left-most digits.

Here, the first two digits are the same then check for the next left-most digit.

9 > 8

So we use a symbol greater than.

Therefore, 67982001 > 67892001

Question 2.

100,542,089 105,042,098

Answer: <

Explanation:

We need to compare the numbers.

we go for rule 2

since both, numbers are having the same number of digits. We will compare the next left-most digits.

Here, the first two digits are the same then check for the next left-most digit.

0 < 5

So we use a symbol less than.

Therefore, 100542089 < 105042098

Question 3.

1,986,034 1,896,075

Answer: >

We need to compare the numbers.

we go for rule 2

since both, numbers are having the same number of digits. We will compare the next left-most digits.

Here, the first digit is the same then check for the next left-most digit.

9 > 8

so we use a symbol greater than.

Therefore, 1986034 > 1896075

Question 4.

12,165,982 12,178,983

Answer: <

Explanation

We need to compare the numbers.

we go for rule 2

since both, numbers are having the same number of digits. We will compare the next left-most digits.

Here, the first three digits are the same then check for the next left-most digit.

6 < 7

So we use a symbol less than.

Therefore, 12165982 < 12178983

Question 5.

239,742,005 289,650,010

Answer: <

Explanation:

We need to compare the numbers.

we go for rule 2

since both, numbers are having the same number of digits. We will compare the next left-most digits.

Here, the first digit is the same then check for the next left-most digit.

3 < 8

So we use a symbol less than

Therefore, 239742005 < 289650010

Question 6.

1,652,985 1,563,218

Answer: >

Explanation

We need to compare the numbers.

we go for rule 2

since both, numbers are having the same number of digits. We will compare the next left-most digits.

Here, the first digit is the same then check for the next left-most digit.

6 > 5

so we use a symbol greater than

Therefore, 1652985 > 1563218

**Order the numbers from greatest to least**

Question 7.

3,356,000; 2,359,412; 2,937,158; 3,368,742

Answer:

For ordering the numbers from the greatest to lowest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

3 > 2

The first two numbers are starting with 3.

3356000, 3368742

Now find the greatest one in that two numbers.

The third digits are 6 and 5

6 > 5

So here, the greatest number is: 3368742

Now check for the least number:

2359412, 2937158

The first two digits are the same. Now check for the second left-most digit

3 < 9

So the least number is 2359412

After sorting the numbers, the result will be:

3368742, 3356000, 2937158, 2359412

Question 8.

2,009,832; 2,103,425; 2,009,604; 2,112,300

Answer:

For ordering the numbers from the greatest to lowest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

0 < 1

The two greatest numbers are 2103425, 2112300

Now find the greatest number:

1 > 0

2112300 is the greatest number and the second greatest number is 2103425

And the remaining two numbers are 2009832, 2009604

The first four numbers are the same, now compare the next left-most digit

8 > 6

After sorting all the numbers the result will be:

2112300, 2103425, 2009832, 2009604

**Order the numbers from least to greatest.**

Question 9.

14,258,123; 14,259,688; 14,256,001; 14,258,252

Answer:

For ordering the numbers from least to greatest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

The first four digits are the same. So compare the next left-most digit.

8 < 9 < 6 > 8

After sorting the numbers 14258123, 14259688, 14256001, and 14258252 from Least to Greatest, the result will be

14256001,14258123,14258252,14259688.

Question 10.

574,210,033; 574,211,874; 574,198,852; 874,210,089

Answer:

For ordering the numbers from least to greatest we need to compare.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

All the numbers having the same number of digits

The first four digits are the same. So compare the next left-most digit.

5 = 5 = 5 > 8

So the greatest number is 874,210,089

The next two digits are equal in all numbers.

Now compare the next left-most digits.

2 = 2 = 2 < 1

The smallest digit is 574198852

After sorting the numbers, the result will be:

574198852, 574210033, 574211874, 874210089

**Problem Solving**

Question 11.

Madison wants to know which sports are most popular. The list below shows how many kids play each sport. Order the sports from most players to least players to help show Madison which sports are most popular.

Soccer: 3,875,026 Surfing: 250,982

Bašeball: 900,765 Basketball: 2,025,351

Answer:

Above-given:

The kids play Soccer = 3,875,026

The kids play Surfing = 250,982

The kids play Baseball = 900,765

The kids play Basketball = 2,025,351

We need to order them in more to fewer

For that, we need to compare the numbers

3875026 and 2025351 are having the same number of digits. The number of digits is 7.

250982 and 900765 are having the same number of digits. The number of digits is 6.

The order will be:

3875026, 2025351, 900765, 250982

The most popular sport is Soccer because it is having the highest number of players.

Question 12.

Andrea wants to live in the city with the most people. She read that New York City has 8,008,278 people and that Seoul, South Korea has 10,231,217 people. In which city does Andrea want to live?

Answer:

The number of people in New York City = 8,008,278

The number of people in South Korea = 10,231,217

Andrea will live in the city which is having the highest population.

Now we compare the numbers.

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

We go for rule 1 because 8,008,278 has 7 digits and 10,231,217 has 8 digits.

– therefore, according to rule 1, the number with more digits is greater than the number with fewer digits.

Hence, South Korea is having the highest population. Therefore, Andrea lives in South Korea.

Question 13.

The Denver Mint made 2,638,800 nickels. The Philadelphia Mint made 2,806,000 nickels. Which mint made more nickels?

Answer:

Above-given:

The nickels made by Denver mint = 2,638,000

The nickels made by Philadelphia mint = 2,806,000

We need to find out the number of more nickels made by mints.

Now we need to compare the numbers.

Since, both the numbers, 2638000 and 2806000 are having 7 digits, thus we will compare the left-most digit of both numbers.

– the first digits are the same in both numbers. So we will compare the next left-most digit

6 < 8

so, the Denver mint made fewer nickels than the Philadelphia mint.

Finally, the Philadelphia mint made more nickels.

Question 14.

**Mathematical PRACTICE 3** Draw a Conclusion In 1950, bike stores sold about 205,850 bikes per year per store. In 2000, bike stores sold about 185,000 bikes per year per store. Is the number of bikes being sold getting larger or smaller?

Answer:

The bikes sold in 1950 = 205,850

The bikes sold in 2000 = 185,000

The bikes sold getting smaller

185,000 < 205,850

as year is increasing, bikes sold are decreasing.

**Test Practice**

Question 15.

Which set of numbers is in order from greatest to least?

A. 74,859,623; 74,759,458; 74,905,140; 73,569,991

B. 74,905,140; 74,859,623; 74,759,458; 73,569,991

C. 73,569,991; 74,759,458; 74,859,623; 74,905,140

D. 74,905,140; 74,759,458; 74,859,623; 73,569,991

Answer: Option B is correct

There are certain rules, based on which it becomes easier to compare numbers. These rules are:

– Numbers with more digits

– Numbers starting with a larger digit

If we take the set of numbers in option A,

The first two numbers are the same so we will compare the next left-most digits

8 < 7 > 9 there is no certain order.

coming to option B:

the least number is in the last position. Now check for the first three numbers.

The first two numbers are the same so we will compare the next left-most digits

9 < 8 < 7

Therefore, option B is having correct order.