## 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.

Answer:

**Another Example**

How can you order decimals?

Step 1

Write the numbers, lining up the decimal points. Start at the left. Compare digits of the same place-value.

3.576

3.432

3.582

3.432 is the least.

Step 2

Write the remaining numbers, lining up the decimal points. Start at the left. Compare.

3.576

3.582

3.582 is greater.

Step 3

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.

**Guided Practice***

Do you know how?

Compare the two numbers. Write >, <, or=for each .

Question 1.

3.692 3.697

Answer:

Question 2.

7.216 7.203

Answer:

Order these numbers from least to greatest.

Question 3.

5.540, 5.631, 5.625, 5.739

Answer:

Question 4.

0.675, 1.529, 1.35, 0.693

Answer:

Do you understand?

Question 5.

Write a number that is greater than 4.508 but less than 4.512.

Answer:

Question 6.

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?

Answer:

Step 1

Line up the decimal points.

Start at the left.

Compare digits of the same place-value.

3.576

3.432

Step 2

Find the first place where the digits are different.

3.576

3.432

Step 3

Compare. 5 > 4

Think 0.5 > 0.4

So, 3.576 > 3.432.

The American cockroach is longer than the Oriental cockroach

**Independent Practice**

Copy and complete. Write >, <, or = for each .

Question 7.

0.890 0.89

Answer:

Question 8.

5.733 5.693

Answer:

Question 9.

9.707 9.717

Answer:

Question 10.

4.953 4.951

Answer:

Order from least to greatest.

Question 13.

2.912, 2.909, 2.830, 2.841

Answer:

Question 14.

8.541, 8.314, 8.598, 8.8

Answer:

Order from greatest to least.

Question 15.

5.132, 5.123, 5.312, 5.231

Answer:

Question 16.

62.905, 62.905, 62.950, 62.383

Answer:

**Problem Solving**

Question 17.

Writing to Explain Why do you need to line up the decimal points before comparing and ordering numbers with decimals?

Answer:

Question 18.

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?

Answer:

Question 19.

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?

A. 0.5

B. 0.2

C. 0.13

D. 0.12

Answer: