Number Comparisons
About This Worksheet
This worksheet helps sixth-grade students compare fractions and decimals by placing them on number lines. Students first plot several fractional and decimal values between zero and one, then use those visual positions to answer comparison and ordering questions. The number line gives students a clear picture of which values are larger, smaller, or very close together. It is especially helpful for students who understand individual fractions and decimals but have trouble comparing the two forms.
What Students Practice
Students place fractions and decimals at appropriate locations on two number lines. After plotting the values, they use comparison symbols to show which numbers are greater than or less than one another. The final questions ask students to arrange mixed sets of fractions and decimals from least to greatest. This combines number-line reasoning, equivalence, place value, and rational-number comparison in one activity.
Why This Matters
Comparing a fraction with a decimal can be difficult when the numbers are written in different forms. A number line gives students a visual way to judge size without depending only on memorized procedures. It also reinforces the idea that fractions and decimals belong on the same number system and can be compared directly. That understanding becomes important when students move into work with rational numbers, percentages, inequalities, and coordinate graphs.
Teaching Tips
Encourage students to identify helpful benchmark points such as zero, one-half, and one before placing every value. If they are unsure where a fraction belongs, they can rewrite it as a decimal or think about its relationship to a familiar benchmark. Have students point to the positions on the number line when explaining a comparison instead of only giving the symbol. This helps make their reasoning visible and can quickly reveal misunderstandings about value.
Curriculum Standards
This worksheet reinforces comparison skills that support Grade 6 rational-number work and prepares students for more formal work with positive and negative numbers. It connects with CCSS.MATH.CONTENT.6.NS.C.6 by strengthening students’ understanding of rational numbers as points on a number line. It also supports the reasoning used in CCSS.MATH.CONTENT.6.NS.C.7, where students compare and order rational numbers. Because this worksheet focuses on values between zero and one, it can serve as a useful bridge into the broader Grade 6 rational-number unit.