Envision Math 5th Grade Textbook Answer Key Topic 1.4 Comparing and Ordering Decimals
How can you compare and order decimals?
Scientists collected and measured the lengths of different cockroach species. Which cockroach had the greater length, the American or the Oriental cockroach? Use these three steps to find out.
How can you order decimals?
Write the numbers, lining up the decimal points. Start at the left. Compare digits of the same place-value.
3.432 is the least.
Write the remaining numbers, lining up the decimal points. Start at the left. Compare.
3.582 is greater.
Write the numbers from least to greatest.
3.432, 3.576, 3.582
In order of their lengths from least to greatest, the cockroaches are the Oriental, the American, and the Australian.
Do you know how?
Compare the two numbers. Write >, <, or=for each .
Order these numbers from least to greatest.
5.540, 5.631, 5.625, 5.739
0.675, 1.529, 1.35, 0.693
Do you understand?
Write a number that is greater than 4.508 but less than 4.512.
Scientists measured a Madeira cockroach and found it to be 3.438 cm long. If they were ordering the lengths of the cockroaches from least to greatest, between which two cockroaches would the Madeira cockroach belong?
Line up the decimal points.
Start at the left.
Compare digits of the same place-value.
Find the first place where the digits are different.
Compare. 5 > 4
Think 0.5 > 0.4
So, 3.576 > 3.432.
The American cockroach is longer than the Oriental cockroach
Copy and complete. Write >, <, or = for each .
Order from least to greatest.
2.912, 2.909, 2.830, 2.841
8.541, 8.314, 8.598, 8.8
Order from greatest to least.
5.132, 5.123, 5.312, 5.231
62.905, 62.905, 62.950, 62.383
Writing to Explain Why do you need to line up the decimal points before comparing and ordering numbers with decimals?
Judith wants to buy her mother flowers. Judith earns $4 a week doing chores. If each flower costs $2, how many flowers can Judith buy her mother if she saves for three weeks?
There are five types of grains of sands: coarse, very coarse, medium, fine, and very fine. A grain of fine sand can have a diameter of 0.125 millimeters.
Which number is less than 0.125?