CCSS.MATH.4.NBT.A.3✓ Ontario Ministry of Education AlignedAcademic Year 2026–27
Rounding Multi-Digit Numbers to Any Place Value
Apply vertical and horizontal number lines to approximate values to the nearest ten, hundred, thousand, or ten thousand.
Why It Matters:Essential for budget forecasting, quick mental checks, and engineering safety limits.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Round 364,728 to the nearest ten-thousand:
1
Identify the target place value
Ten-thousands digit is 6 (value = 60,000)
Determine whether 364,728 is closer to 360,000 or 370,000.
2
Inspect the test digit immediately to the right
Thousands digit is 4
Since 4 < 5, we round down toward 360,000.
3
Formulate rounded numeral
360,000
All columns to the right of ten-thousands become zeros.
✓Verification Check
Midpoint between 360,000 and 370,000 is 365,000. Is 364,728 < 365,000?
364,728
•
365,000 (364,728 < 365,000 Verified Closer to 360,000)
⚠️ Common Pitfalls & Misconceptions
Rounding all digits to the left
✗ Changing digits to the left of the rounding column✓ Only the rounding column and digits to its right are affected
Digits to the left remain unchanged unless carrying occurs (e.g. rounding 99 to nearest ten).
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
What is 45,672 rounded to the nearest thousand?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Rounding Multi-Digit Numbers to Any Place Value
Passing Criteria:70% or higher
Question 1 of 1
Which number rounds to 80,000 when rounded to the nearest ten-thousand?
Education to Career Navigation
Where This Lesson Leads
Estimators and Logistics Planners round shipping numbers to determine container capacities.