Fill in the missing digits

Learning Objectives Identify missing digits in multi-digit addition problems, including those requiring regrouping. Identify missing digits in multi-digit subtraction problems, including those requiring borrowing. Apply the concept of inverse operations to solve for unknown digits in addition and subtraction equations. Use their understanding of place value to systematically find missing digits in various positions. Solve missing digit problems involving decimal numbers in addition and subtraction. Verify their solutions by performing the completed addition or subtraction. Ever felt like a detective 🕵️‍♀️ trying to solve a puzzle? In math, sometimes numbers go missing, and it's up to you to find them! This lesson will teach you how to find those elusive missing digits...

TermDefinitionExample Place ValueThe value of a digit based on its position in a number (e.g., ones, tens, hundreds, tenths, hundredths).In the number 34.5, the '3' represents 3 tens, the '4' represents 4 ones, and the '5' represents 5 tenths. Regrouping (Carrying)The process of combining 10 units from one place value column and moving them to the next higher place value column as 1 unit (e.g., 10 ones become 1 ten).When adding 7 + 8 in the ones column, the sum is 15. You write down '5' in the ones column and 'carry over' '1' to the tens column. Borrowing (Renaming)The process of taking 1 unit from a higher place value column and converting it into 10 units for the next lower place value column (e.g., 1 ten becomes 10 ones).To su...

Inverse Operations for Addition If $A + B = C$, then $A = C - B$ and $B = C - A$. To find a missing addend, subtract the known addend from the sum. This helps you work backward to find the unknown part of an addition problem. Inverse Operations for Subtraction If $A - B = C$, then $A = C + B$ (to find the minuend) and $B = A - C$ (to find the subtrahend). To find the number you started with (minuend), add the difference and the number subtracted (subtrahend). To find the number that was subtracted (subtrahend), subtract the difference from the starting number (minuend). Place Value Alignment Rule Always align digits according to their place value (ones under ones, tens under tens, tenths under tenths, etc.), including decimal points, before performing addition or subtr...