CCSS.MATH.4.NF.C.6-7β Texas Education Agency (TEA) AlignedAcademic Year 2026β27
Decimal Notation for Tenths, Hundredths & Decimals
Represent tenths and hundredths as standard decimals (e.g. 0.62) and compare decimal quantities on the number line.
Why It Matters:Essential for currency transactions (cents as hundredths of a dollar) and stopwatch timing in athletics.
Curated Video Instruction
β Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Convert 45/100 into decimal form and compare it with 0.5:
1
Convert fraction to decimal
45/100 = 0.45
4 tenths and 5 hundredths.
2
Write 0.5 with equivalent hundredths
0.5 = 0.50 = 50/100
Appended zero preserves value in the hundredths place.
3
Compare the two decimals
0.45 < 0.50
45 hundredths is less than 50 hundredths.
βVerification Check
Subtract: 0.50 - 0.45 = 0.05 (positive difference confirms 0.5 > 0.45).
0.50 - 0.45 = 0.05
β’
0.05 > 0 (Verified)
β οΈ Common Pitfalls & Misconceptions
Thinking longer decimal strings are automatically larger
β Thinking 0.08 > 0.4 because 8 > 4β Compare column by column: 0.4 has 4 tenths; 0.08 has 0 tenths (0.4 > 0.08)
Place value column significance precedes the digit count.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
Which decimal is equal to 3/10?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Decimal Notation for Tenths, Hundredths & Decimals
Passing Criteria:70% or higher
Question 1 of 1
Which statement correctly compares 0.6 and 0.59?
Education to Career Navigation
Where This Lesson Leads
Retail Cashiers, Sports Timers, and Meterologists record measurements to hundredths precision.