Subtraction: fill in the missing digits

Learning Objectives Identify missing digits in multi-digit subtraction problems using place value understanding. Apply the inverse operation of addition to find unknown minuends or subtrahends. Correctly implement borrowing (regrouping) strategies when solving missing digit subtraction problems. Systematically solve multi-step missing digit subtraction problems, working from right to left. Verify their solutions by performing the completed subtraction or addition operation. Explain the reasoning behind each step taken to find a missing digit. Ever tried to solve a puzzle where some pieces are missing? 🧩 That's exactly what we'll do with numbers today! In this lesson, you'll become a detective, using your knowledge of subtraction and place value to uncover hi...

TermDefinitionExample MinuendThe number from which another number is subtracted.In $15 - 7 = 8$, the minuend is $15$. SubtrahendThe number that is being subtracted from the minuend.In $15 - 7 = 8$, the subtrahend is $7$. DifferenceThe result obtained when one number is subtracted from another.In $15 - 7 = 8$, the difference is $8$. Borrowing (Regrouping)The process of exchanging a digit from a higher place value for ten units of a lower place value to allow subtraction when the minuend digit is smaller than the subtrahend digit.To calculate $42 - 5$, you 'borrow' 1 from the $4$ (tens place), making it $3$ tens, and add $10$ to the $2$ (ones place), making it $12$. Then $12 - 5 = 7$ and $3 - 0 = 3$, so $42 - 5 = 37$. Inverse OperationAn operation that undoes the effect of another...

Subtraction Relationship $$ \text{Minuend} - \text{Subtrahend} = \text{Difference} $$ This fundamental rule defines the relationship between the three components of a subtraction problem. It's the basis for understanding how to find a missing part. Inverse Operation for Missing Minuend/Subtrahend $$ \text{Minuend} = \text{Subtrahend} + \text{Difference} $$ $$ \text{Subtrahend} = \text{Minuend} - \text{Difference} $$ These rules are derived from the basic subtraction relationship and are essential for finding a missing minuend or subtrahend. If you know two parts, you can find the third using addition or subtraction. Borrowing Principle If a digit in the minuend (top number) is smaller than the corresponding digit in the subtrahend (bottom number) in the same place...