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?
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.
Write the numbers. 545,524 ←
Line up the places. 540,828
Begin at the left 529,121
Look at the two
remaining numbers. 540,828 ←
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 why 89,010,000 is greater than 89,000,101.
How can you order three whole numbers, each with a different number of digits, without comparing digits?
Line up the places
Begin at the keft.
Use > for greater than.
Use < for less than.
Find the first place 545,524 Where the digits 540,828 are different Compare 5 > 0
Think 5 thousands > 0 thousands
5 thousands > 0 thousands
So, 545,524 > 540,828. Nashville has a greater population than Charlotte.
Do you know HOW?
Copy and complete. Write <, > or = for each .
Do you Understand?
Writing to Explain Why do you compare numbers beginning from the left after you line them up by place value?
Long Beach has a population of 491,564 and Fresno has a population of 464,727. Which city has a greater population?
Copy and complete. Write <, > or
Order from greatest to least.
65,081,127 7,000,128 9,910,001
90,459,012,045 91,459,012,045 90,459,010,045
15,100,000,022 1,510,000,022 10,010,899,002
186,347,987 100,389,120 18,121,817 1,500,987
Number Sense Write three numbers that are greater than 154,000 but less than 155,000.
The U.S. Postal Service delivers about 212,000,000,000 pieces of mail every year. Which digit is in the ten billions place?
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.
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?
Algebra Find all the digits that can replace the missing digit to make this comparison true.
Which of the numbers below is the greatest?
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?
The surface area of the moon is 37,900,000 square kilometers. Which has a larger surface area?
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.
By how much did the United States population increase from 1790 to 1820?
What is the difference between the population of the United States in 1850 and 1790?
Which decade had the greatest growth in population?
Which decade had the least amount of growth in population?
For 5 through 8, use the table at the right.
How many more immigrants came from Germany than Scotland?
Were there more immigrants from Germany and Scotland or from England?
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?