Subtract two two-digit numbers - with regrouping

Learning Objectives Identify the minuend and subtrahend in a two-digit subtraction problem. Explain when regrouping (borrowing) is necessary in two-digit subtraction. Accurately regroup from the tens place to the ones place when subtracting. Perform subtraction of two two-digit numbers using the standard algorithm with regrouping. Solve word problems involving subtraction of two two-digit numbers with regrouping. Check their subtraction answers using addition. Ever wonder how stores calculate the change you get back after buying something? 💰 It often involves subtraction, and sometimes, a little trick called 'regrouping'! In this lesson, you'll master the art of subtracting two-digit numbers, especially when the numbers in the ones place need a little help f...

TermDefinitionExample Two-Digit NumberA number composed of a tens digit and a ones digit. For example, 37 has 3 tens and 7 ones.Numbers like 15, 48, 92 are two-digit numbers. SubtractionThe mathematical operation of finding the difference between two numbers, often thought of as 'taking away'.In $50 - 20 = 30$, subtraction is used to find the difference of 30. MinuendThe number from which another number is subtracted. It is usually the larger number and is placed on top in vertical subtraction.In $65 - 23 = 42$, 65 is the minuend. SubtrahendThe number that is being subtracted from the minuend. It is usually the smaller number and is placed below the minuend in vertical subtraction.In $65 - 23 = 42$, 23 is the subtrahend. DifferenceThe result obtained when one number is subtracte...

Standard Subtraction Algorithm (Vertical Alignment) Align numbers vertically by their place value (ones under ones, tens under tens). Always begin subtracting from the ones column, then move to the tens column. This rule ensures that you are subtracting digits of the same place value from each other, which is crucial for accurate results. Starting from the ones column allows for proper regrouping. Regrouping Principle for Subtraction If the digit in the ones place of the minuend is smaller than the digit in the ones place of the subtrahend, you must 'regroup' or 'borrow' 1 ten from the tens place of the minuend. This 1 ten is converted into 10 ones and added to the ones place of the minuend. Remember to decrease the tens digit of the minuend by 1. This ru...