## Envision Math 4th Grade Textbook Answer Key Topic 1.3 Comparing and Ordering Whole Numbers

Comparing and Ordering Whole Numbers

How do you compare numbers?

Earth is not perfectly round. The North Pole is 6,356 kilometers from Earth’s center. The equator is 6,378 kilometers from the center. Which is closer to the Earth’s center: the North Pole or the equator?

Another Example

How do you order numbers?
The areas of 3 continents on Earth are shown in the table at the right. Which shows the areas in order from least to greatest?
A. 9,450,000; 4,010,000; 6,890,000
B. 4,010,000; 9,450,000; 6,890,000
C. 6,890,000; 9,450,000; 4,010,000
D. 4,010,000; 6,890,000; 9,450,000

Step 1
Plot the numbers on a number line.

Step 2
Order the numbers. On a number line, numbers to the right are greater.
Reading from left to right, 4,010,000; 6,890,000; 9,450,000.
The correct choice is D.

Explain It

Question 1.
Describe how you would order the continents’ areas using place value.

Question 2.
Reasonableness How can you rule out choices A and C as the correct answer?

Step 1

Use place value to compare numbers.
Write the numbers, lining up places. Begin at the left and compare.
6,356
6,378
The thousands digit is the same in both numbers.

Step 2

Look at the next digit.
6,356
6,378
The hundreds digit also is the same in both numbers.

Step 3

The first place where the digits are different is the tens place. Compare.

The symbol > means is greater than,
and the symbol < means is less than.
The North Pole is closer to Earth’s center than the equator.

Guided Practice*

Do you know HOW?

In 1 through 4, copy and complete by writing > or < for each .

Question 1.
2,643 2,801

Question 2.
6,519 6,582

Question 3.
785 731

Question 4.
6,703 6,699

In 5 and 6, order the numbers from least to greatest.

Question 5.
7,502 6,793 6,723

Question 6.
80,371 15,048 80,137

Question 7.
Writing to Explain Why would you look at the hundreds place to order these numbers? 32,463 32,482 32,947 Answer:

Question 8.
Compare the area of Europe and South America. Which is greater?

Independent Pracice

In 9 through 16, copy and complete by writing > or < for each .

Question 9.
221,495 210,388

Question 10.
52,744 56,704

Question 11.
138,752 133,122

Question 12.
4,937 4,939

Question 13.
22,873 22,774

Question 14.
1,912,706 1,913,898

Question 15.
412,632 412,362

Question 16.
999,999,999 9,990,999

Independent Practice

Leveled Practice In 17 through 20, copy and complete the number lines. Then use the number lines to order the numbers from greatest to least.

Question 17.
27,505 26,905 26,950

Question 18.
3,422,100 3,422,700 3,422,000

Question 19.
7,502 7,622 7,523 7,852

Question 20.
3,030 3,033 3,003

In 21 through 28, write the numbers in order from least to greatest.

Question 21.
57,535 576,945 506,495

Question 22.
18,764 18,761 13,490

Question 23.
25,988 25,978 25,998

Question 24.
87,837 37,838 878,393

Question 25.
43,783 434,282 64,382

Question 26.
723,433 72,324 72,432

Question 27.
58,028 85,843 77,893

Question 28.
274,849,551 283,940,039 23,485,903

Problem Solving

Question 29.
Estimation Aaron added 57 and 20 and said the answer is greater than 100. Is Aaron correct?

Question 30.
Number Sense Write three numbers that are greater than 780,000 but less than 781,000.

Question 31.
Reasoning Could you use only the millions period to order 462,409,524, 463,409,524, and 463,562,391?

Question 32.
Describe how to compare 7,463, 74,633, and 74,366 from least to greatest.

Question 33.
The heaviest snake living in captivity is a Burmese Python named “Baby.” An average Anaconda snake weighs 330 pounds. Which snake weighs more?

Question 34.
Which list of numbers is in order from least to greatest?
A. 1,534 1,576 1,563
B. 18,732 18,723 18,765
C. 234,564 234,568 234,323
D. 383,847 383,848 383,849

Question 35.
Asia and Africa are the two largest continents on Earth. Which continent is larger?

Question 36.
The chart below shows the number of game cards owned by the top collectors in one school. Which student had the most cards?
A. Shani
B. Lin
C. Ariel
D. Jorgé