Mathematics Grade 4 15 min

Balance subtraction equations - up to three digits

Balance subtraction equations - up to three digits

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1

Introduction & Learning Objectives

Learning Objectives Define a balanced equation and identify the variable. Use inverse operations (addition) to find an unknown value in a subtraction equation. Solve for a variable when it is the minuend (the starting number). Solve for a variable when it is the subtrahend (the number being subtracted). Balance subtraction equations with numbers up to three digits. Verify a solution by substituting the value back into the original equation. Imagine a seesaw with numbers on each side. How can we make it perfectly level, even if one number is a mystery? 🤔 In this lesson, you'll become an equation detective! You will learn how to find a missing number, called a variable, in a subtraction problem to make both sides of the equals sign perfectly balanced. This skill is like...
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Key Concepts & Vocabulary

TermDefinitionExample EquationA math sentence that says two things are equal, using an equals sign (=).The sentence `150 - 50 = 100` is an equation. VariableA letter or symbol that stands for an unknown number.In the equation `200 - x = 150`, the letter `x` is the variable. Balanced EquationAn equation where the value on the left side of the equals sign is the same as the value on the right side.In `300 - 100 = 200`, both sides have a value of 200, so it is balanced. Inverse OperationsOperations that 'undo' each other. Addition is the inverse of subtraction.To undo subtracting 25 from a number, you would add 25 back to it. MinuendThe number you are subtracting from; the starting amount.In `125 - 25 = 100`, the minuend is 125. SubtrahendThe number that is being subtracted or take...
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Core Formulas

The Missing Minuend Rule If `x - a = b`, then `x = a + b` When the number you are subtracting *from* is missing, you must add the other two numbers together to find it. Use the inverse operation! The Missing Subtrahend Rule If `a - x = b`, then `x = a - b` When the number being *subtracted* is missing, you must subtract the difference from the starting number (the minuend) to find it.

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Sample Practice Questions

Challenging
Solve for `z` in the two-step equation: `(z - 110) - 90 = 250`.
A.50
B.340
C.270
D.450
Challenging
What value of `p` is needed to balance this equation: `915 - p = 320 + 180`?
A.500
B.1415
C.415
D.595
Challenging
To solve `824 - k = 359`, a student must use subtraction (`824 - 359`). Why is addition (`824 + 359`) the wrong operation?
A.Because adding would give a value for `k` that is larger than the starting number, which is impossible.
B.Because the rule says to always subtract when the variable is second.
C.Because addition is only used when the variable is the answer.
D.Because subtraction is easier than addition.

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