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Overview
Grade 5 Math
Number Strand
3. N5.3
3.2 Dividing using place value
Dividing Using Place Value
Discover the place value strategy for division: split numbers into hundreds, tens, and ones to divide multi-digit numbers with confidence.
What You'll Learn
Break a dividend apart by place value, such as \( 936 = 900 + 30 + 6 \), before dividing.
Divide each place value part by the divisor separately to get simple partial quotients.
Add the partial quotients together, for example \( 300 + 10 + 2 = 312 \), to find the final answer.
Use a place value chart to keep hundreds, tens, and ones organized while dividing.
Check that each part divides evenly, or adjust the split when a place value does not divide exactly.
What You'll Practice
1
Dividing two-digit numbers by splitting into tens and ones
2
Breaking three-digit and four-digit numbers into divisible parts
3
Dividing numbers with zeros in different place values
4
Using shortcuts to divide directly without writing all steps
Why This Matters
Dividing using place value builds your number sense and mental math skills, making division faster and easier without a calculator. This strategy prepares you for long division and helps you break down complex problems into manageable steps throughout algebra.
This Unit Includes
10 Video lessons
Practice exercises
Learning resources
Skills
Place Value
Division
Mental Math
Number Sense
Distributive Property
Multi-digit Division
SK Curriculum Aligned