## Envision Math 5th Grade Textbook Answer Key Topic 1.2 Comparing and Ordering Whole Numbers

How can you compare and order whole numbers?
Which city has the greater population, Charlotte or Nashville?

Another Example
How do you order numbers?

Order the cities by their populations from greatest to least.
To order whole numbers, line up the digits by place value. Start from the left and compare digits until they are different.

Step 1.
Write the numbers. 545,524 ←
Line up the places. 540,828
Begin at the left 529,121
and compare.

Step 2.
Look at the two
remaining numbers. 540,828 ←
Compare. 529,121

Step 3.
Write the numbers from
greatest to least. 545,524 540,828 529,121

In order of their populations from greatest to least, the cities are Nashville, Charlotte, and Portland.

Explain it

Question 1.
Explain why 89,010,000 is greater than 89,000,101.

Question 2.
How can you order three whole numbers, each with a different number of digits, without comparing digits?

Step 1
Line up the places
545,524
540,828
Begin at the keft.
Compare.
Use > for greater than.
Use < for less than.

Step 2
Find the first place 545,524 Where the digits 540,828 are different Compare 5 > 0
Think 5 thousands > 0 thousands

Think
5 thousands > 0 thousands

So, 545,524 > 540,828. Nashville has a greater population than Charlotte.

Guided Practice*

Do you know HOW?
Copy and complete. Write <, > or = for each .

Question 1.
9,445,000 10,000,000

Question 2.
496,256,001 496,155,001

Question 3.
20,003,888,065 20,003,868,001

Do you Understand?

Question 4.
Writing to Explain Why do you compare numbers beginning from the left after you line them up by place value?

Question 5.
Long Beach has a population of 491,564 and Fresno has a population of 464,727. Which city has a greater population?

Independent Practice

Copy and complete. Write <, > or

Question 6.
3,456 3,543

Question 7.
9,999 10,000

Question 8.
98,325 98,325

Question 9.
789,124 789,300

Question 10.
4,701,045,756 4,701,045

Question 11.
3,000,010 3,000,000,010

Question 12.
29,374,087,210 28,124,087,210

Question 13.
13,059 9,898

Question 14.
6,012,907,000 6,012,907,000

Question 15.
8,937,051 8,937,501

Question 16.
1,790,023,901 1,090,023,901

Question 17.
45,034,521 45,034,251

Question 18.
990,148,632,109 990,149,632,109

Independent Practice

Order from greatest to least.

Question 19.
65,081,127 7,000,128 9,910,001

Question 20.
90,459,012,045 91,459,012,045 90,459,010,045

Question 21.
15,100,000,022 1,510,000,022 10,010,899,002

Question 22.
186,347,987 100,389,120 18,121,817 1,500,987

Problem Solving

Question 23.
Number Sense Write three numbers that are greater than 154,000 but less than 155,000.

Question 24.
The U.S. Postal Service delivers about 212,000,000,000 pieces of mail every year. Which digit is in the ten billions place?

Question 25.
Writing to Explain Here is how Marek ordered three numbers from least to greatest:
870,990; 4,970,070; 1,426,940
What mistake did Marek make? Explain how to correct his mistake.

Question 26.
Four brothers each bought a $9 movie ticket and a$4 bag of popcorn. Bottled water cost $2. Together, the brothers had$60. How much was left?

Question 27.
Algebra Find all the digits that can replace the missing digit to make this comparison true.

Question 28.
Which of the numbers below is the greatest?

A. 9,178
B. 9,817
C. 9,781
D. 8,971

Question 29.
Glory Bicycle Company made $589,029 in sales. Right Bicycles made$590,011. Coastal Bikes made more than Glory Bicycle Company, but less than Right Bicycles. How much did Coastal Bikes make?
A. $589,020 B.$589,300
C. $590,101 D.$590,100

Question 30.
The surface area of the moon is 37,900,000 square kilometers. Which has a larger surface area?

Question 31.
Reasoning If a number is greater than 800,000,000,000 but less than 801,000,000,000, what digit will be in the billions place?

Mixed Problem Solving

For 1 through 4, use the table at the right.

Question 1.
By how much did the United States population increase from 1790 to 1820?

Question 2.
What is the difference between the population of the United States in 1850 and 1790?

Question 3.

Question 4.

For 5 through 8, use the table at the right.

Question 7.
How many more immigrants came from Germany than Scotland?

Question 8.
Were there more immigrants from Germany and Scotland or from England?

Question 9.
Strategy Focus Solve using the strategy, Try, Check, and Revise. Jake bought 2 items that cost a total of $24. One item cost$2 more than the other. What was the cost of each item?