Mathematics Grade 6 15 min

Subtract zero/all

Subtract zero/all

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1

Introduction & Learning Objectives

Learning Objectives Identify the result when zero is subtracted from any number. Identify the result when a number is subtracted from itself. Apply the identity property of subtraction involving zero. Apply the zero property of subtraction involving identical numbers. Solve subtraction problems involving zero and identical numbers. Explain the concepts of subtracting zero and subtracting all in their own words. What happens if you have 7 apples and give away 0? 🍎 What if you have 7 apples and give away all 7? 🤔 In this lesson, we'll explore two special but very important cases of subtraction: subtracting zero from a number and subtracting a number from itself. Understanding these simple rules will make your math calculations quicker and help you solve problems more e...
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Key Concepts & Vocabulary

TermDefinitionExample SubtractionThe mathematical operation of finding the difference between two numbers.In $10 - 3 = 7$, subtraction is used to find the difference of 7. MinuendThe first number in a subtraction problem, from which another number is subtracted.In $10 - 3 = 7$, the minuend is 10. SubtrahendThe second number in a subtraction problem, which is being subtracted from the minuend.In $10 - 3 = 7$, the subtrahend is 3. DifferenceThe result obtained when one number is subtracted from another.In $10 - 3 = 7$, the difference is 7. Subtracting ZeroThe act of taking away nothing from a quantity, which means the quantity remains unchanged.$5 - 0 = 5$ Subtracting AllThe act of taking away the entire quantity from itself, resulting in nothing remaining.$5 - 5 = 0$
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Core Formulas

Identity Property of Subtraction (Subtracting Zero) $a - 0 = a$ When you subtract zero from any number, the number remains the same. Zero is the additive identity, meaning it doesn't change a number's value when added or subtracted. Zero Property of Subtraction (Subtracting All) $a - a = 0$ When you subtract a number from itself, the result is always zero. This means you've taken away the entire quantity you started with.

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Sample Practice Questions

Challenging
If (p - 0) - (q - q) = 50, what is the value of p?
A.0
B.50
C.q
D.100
Challenging
Let 'a' be any integer greater than zero. Which statement comparing the results of 'subtracting all' and 'subtracting zero' is ALWAYS true?
A.The result of (a - a) is always less than the result of (a - 0).
B.The result of (a - a) is always greater than the result of (a - 0).
C.The results of (a - a) and (a - 0) are always equal.
D.The result of (a - a) is sometimes less than the result of (a - 0).
Challenging
A tank holds 500 liters of water. On Monday, 0 liters are removed. On Tuesday, all the water is drained from the tank. On Wednesday, 500 liters are added back. How much water is in the tank at the end of Wednesday?
A.0 liters
B.1000 liters
C.500 liters
D.250 liters

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