Florida Grade 6 Math · Number Sense and Operations

MA.6.NSO.1.1: Rational Numbers: Plot, Order, and Compare

What this Grade 6 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

What Is Benchmark MA.6.NSO.1.1?

A rational number is any number that can be written as a fraction of two integers (with a denominator that is not zero). That includes whole numbers, fractions, decimals, percents, and their negatives.

Students plot, order, and compare rational numbers using <, >, or =. On a number line, numbers increase to the right, so −5 is less than −2. In Grade 6, negative numbers are compared when written in the same form; positive numbers may be compared across forms (fraction, decimal, percent).

Official benchmarkExtend previous understanding of numbers to define rational numbers. Plot, order and compare rational numbers.

On the FAST test: part of the Grade 6 reporting category Number Sense and Operations, which is about 33–42% of the test.

Worked Examples

Worked Example 1

Ordering Positive and Negative Decimals

Order −2.5, 1.75, −0.8, and 0 from least to greatest.
  1. 1Negative numbers are to the left of 0, and −2.5 is farther left than −0.8.
  2. 20 comes next, then the positive number 1.75.
Answer: −2.5, −0.8, 0, 1.75

Worked Example 2

Comparing Different Forms

Order 35, 0.65, and 62% from least to greatest.
  1. 1Write each as a decimal: 35 = 0.6 and 62% = 0.62
  2. 2Compare 0.60, 0.62, and 0.65.
Answer: 35, 62%, 0.65

Common Mistakes to Watch For

Thinking a bigger digit means a bigger negative number

Wrong:−5 > −2 because 5 > 2

−5 is farther left on the number line than −2, so −5 < −2.

Comparing different forms without converting

Wrong:34 < 0.7 because 3 < 7

Write both as decimals: 34 = 0.75, and 0.75 > 0.7.

Helpful Math Tip

Sketch a quick number line with 0 in the middle and place each number before comparing. Temperatures and money owed are great real-life examples of negatives.

Related Grade 6 Skills

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.