Mathematics
Grade 3
15 min
Complete the addition sentence - four or more digits
Complete the addition sentence - four or more digits
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Introduction & Learning Objectives
Learning Objectives
Identify the addends and the sum in an addition sentence.
Find a missing addend when the other addend and the sum are known for numbers with four or more digits.
Use the inverse relationship between addition and subtraction to solve for a missing number.
Apply subtraction with regrouping to numbers with four or more digits.
Check their answer by substituting the found addend back into the original addition sentence.
Solve word problems that require completing an addition sentence with large numbers.
Imagine you're saving up for a new tablet that costs $1,150. You already have $725. How can you figure out exactly how much more money you need? 🤔
In this lesson, you will become a math detective and learn how to find the missing piece in an addition pu...
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Key Concepts & Vocabulary
TermDefinitionExample
AddendA number that is added to another number in an addition problem.In the sentence 2,500 + 1,500 = 4,000, the numbers 2,500 and 1,500 are both addends.
SumThe total or answer you get when you add numbers together.In the sentence 2,500 + 1,500 = 4,000, the sum is 4,000.
Addition SentenceA number sentence that uses the plus sign (+) to show that two or more numbers are added together.4,120 + ? = 5,600 is an addition sentence with a missing part.
Missing AddendThe unknown number in an addition sentence that you need to find.In 1,234 + ___ = 4,321, the blank space represents the missing addend.
Inverse OperationThe opposite operation that 'undoes' another. Subtraction is the inverse operation of addition.To solve 500 + ? = 800, you can use the inverse operat...
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Core Formulas
Finding a Missing Addend Formula
Sum - Known Addend = Missing Addend
To find a missing number in an addition problem, you must subtract the number you already know (the known addend) from the total (the sum).
The Addition-Subtraction Relationship
If a + b = c, then c - a = b and c - b = a
This rule shows that addition and subtraction are opposites that belong in a 'fact family'. You can rearrange the numbers in an addition sentence into a subtraction sentence to find a missing piece.
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Challenging
The city zoo has 4,185 mammals and some reptiles. The total number of mammals and reptiles is 6,050. If the zoo gets 500 more reptiles, what number completes the sentence for the *original* number of reptiles: 4,185 + ____ = 6,050?
A.1,865
B.2,365
C.1,365
D.1,965
Challenging
Find the missing number to make the sentence true: 3,815 + 2,990 = ____ + 4,000
A.6,805
B.2,805
C.3,805
D.2,705
Challenging
The sum of two different 4-digit numbers is 8,888. All the digits in both numbers are either 2 or 6. Complete the sentence: 2,662 + ____ = 8,888
A.6,226
B.6,622
C.2,226
D.6,262
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