Mathematics
Grade 6
15 min
The subtraction sentence - up to 18
The subtraction sentence - up to 18
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1
Introduction & Learning Objectives
Learning Objectives
Identify the minuend, subtrahend, and difference in any subtraction sentence.
Construct a subtraction sentence from a given real-world scenario.
Solve for an unknown minuend, subtrahend, or difference in a subtraction sentence up to 18.
Explain the inverse relationship between addition and subtraction.
Apply the concept of subtraction sentences to solve simple word problems.
Verify the correctness of a solved subtraction sentence.
Ever wonder how stores calculate your change or how many items are left on a shelf? 🤔 It all comes down to understanding subtraction sentences!
In this lesson, you will learn the fundamental structure of a subtraction sentence, identify its key components, and master how to solve for missing numbers, all within the range of 18...
2
Key Concepts & Vocabulary
TermDefinitionExample
Subtraction SentenceA mathematical statement showing that one number is taken away from another, resulting in a difference.15 - 7 = 8
MinuendThe first number in a subtraction sentence, from which another number is subtracted.In 15 - 7 = 8, 15 is the minuend.
SubtrahendThe second number in a subtraction sentence, which is subtracted from the minuend.In 15 - 7 = 8, 7 is the subtrahend.
DifferenceThe result obtained when one number is subtracted from another.In 15 - 7 = 8, 8 is the difference.
Inverse OperationAn operation that undoes another operation; addition is the inverse of subtraction, and vice versa.If 10 - 3 = 7, then 7 + 3 = 10.
Unknown/VariableA symbol (often a letter like 'x' or 'y') used to represent a missing or unspecified number in a...
3
Core Formulas
Standard Subtraction Sentence
$$ \text{Minuend} - \text{Subtrahend} = \text{Difference} $$
This is the basic structure for any subtraction problem.
Finding the Minuend
$$ \text{Minuend} = \text{Difference} + \text{Subtrahend} $$
If you know the subtrahend and the difference, you can find the minuend by adding them together. This uses the inverse operation of addition.
Finding the Subtrahend
$$ \text{Subtrahend} = \text{Minuend} - \text{Difference} $$
If you know the minuend and the difference, you can find the subtrahend by subtracting the difference from the minuend.
5 more steps in this tutorial
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Challenging
In a subtraction sentence, the subtrahend is 8 and the difference is 9. What is the minuend?
A.1
B.16
C.17
D.72
Challenging
A student claims that to solve 16 - x = 9, the value of x is 25. Which statement best analyzes this error?
A.The student is correct because 16 + 9 = 25.
B.The student correctly used addition as the inverse operation but should have subtracted 9 from 16.
C.The student used the correct formula for finding a missing minuend, but 'x' is the subtrahend.
D.The student should have used multiplication because the numbers are large.
Challenging
In the subtraction sentence M - S = D, if the minuend (M) stays the same but the subtrahend (S) increases, what happens to the difference (D)?
A.The difference (D) increases.
B.The difference (D) decreases.
C.The difference (D) stays the same.
D.The difference (D) becomes equal to the subtrahend (S).
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