Lesson 9 Order Decimals

- Let’s put decimals in order.

Warm-up True or False: Decimal Inequalities

Decide whether each statement is true or false. Be prepared to explain your reasoning.

$0.909 > 0.91$
$4.1 < 4.100$
$0.99 < 0.999$

Activity 1 Caught in the Middle

Problem 1

Fill in the blank to make each statement true. Be prepared to explain your reasoning. Use the number lines if they are helpful.

$786.2 <$ $< 786.3$
$9.99 <$ $< 10$
$0.46 >$ $> 0.45$
$0.5 <$ $< 0.51$
$0.99 <$ $< 0.999$

Problem 2

Kiran says that there is no number between 1.731 and 1.732. Do you agree with Kiran? Use the number line if it is helpful.

Number line. Eleven evenly spaced tick marks. First tick mark, 1 and 73 hundredths. Last tick mark, 1 and 74 hundredths.

Activity 2 Least to Greatest

Write each set of numbers in order from least to greatest.

1. 67.020
2. 67.200
3. 67.002
1. 1.101
2. 1.02
3. 1.1
1. 0.333
2. 0.323
3. 0.3
1. 99.99
2. 99.09
3. 99.091

Practice Problem

Problem 1

List the decimals from least to greatest:

6.95
6.895
6.598
6.985
5.986