Mathematics Grade 5 15 min

Subtract two two-digit numbers - without regrouping

Subtract two two-digit numbers - without regrouping

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Introduction & Learning Objectives

Learning Objectives Identify the ones and tens place in two-digit numbers. Subtract the ones digits of two two-digit numbers without regrouping. Subtract the tens digits of two two-digit numbers without regrouping. Combine the results of ones and tens subtraction to find the final difference. Accurately solve subtraction problems involving two two-digit numbers where regrouping is not required. Explain the step-by-step process of subtracting two two-digit numbers without regrouping. Apply the skill of subtracting two two-digit numbers without regrouping to solve simple real-world problems. Ever wonder how many cookies are left in the jar after you've eaten a few? 🍪 Subtraction helps us find out what's remaining! In this lesson, you'll learn a straightforwa...
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Key Concepts & Vocabulary

TermDefinitionExample Two-Digit NumberA whole number between 10 and 99, consisting of a tens digit and a ones digit.23, 78, 91 Place ValueThe value of a digit based on its position in a number. In two-digit numbers, we have the ones place and the tens place.In the number 47, the '4' is in the tens place (value 40) and the '7' is in the ones place (value 7). MinuendThe number from which another number is subtracted. It is usually the larger number in a subtraction problem.In $58 - 24 = 34$, the minuend is 58. SubtrahendThe number that is being subtracted from the minuend.In $58 - 24 = 34$, the subtrahend is 24. DifferenceThe result obtained when one number is subtracted from another.In $58 - 24 = 34$, the difference is 34. Without RegroupingA subtraction method where th...
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Core Formulas

Subtracting Ones Digits $O_M - O_S = O_D$ Always start by subtracting the digit in the ones place of the subtrahend ($O_S$) from the digit in the ones place of the minuend ($O_M$). The result is the ones digit of the difference ($O_D$). This step does not require regrouping if $O_M \ge O_S$. Subtracting Tens Digits $T_M - T_S = T_D$ After subtracting the ones, move to the tens place. Subtract the digit in the tens place of the subtrahend ($T_S$) from the digit in the tens place of the minuend ($T_M$). The result is the tens digit of the difference ($T_D$). This step does not require regrouping if $T_M \ge T_S$. Combining Place Values Difference = $T_D O_D$ Once you have the difference for the tens place ($T_D$) and the ones place ($O_D$), combine them to form the fin...

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Sample Practice Questions

Challenging
In the subtraction problem 7X - 4Y = 32, X and Y represent single digits. If the problem is solved without regrouping, what is the value of X - Y?
A.2
B.3
C.5
D.Cannot be determined
Challenging
I am a two-digit number. When you subtract me from 99, the difference is 54. The subtraction does not require regrouping. What number am I?
A.35
B.44
C.45
D.54
Challenging
If you subtract a two-digit number from 89 and no regrouping is needed, what is the largest possible two-digit number you can subtract?
A.79
B.80
C.99
D.89

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