Mathematics
Grade 6
15 min
Add one-digit numbers
Add one-digit numbers
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1
Introduction & Learning Objectives
Learning Objectives
Review and accurately add any two one-digit numbers.
Apply mental math strategies for quick one-digit addition.
Identify and utilize the commutative property of addition with one-digit numbers.
Recognize one-digit addition as a foundational skill for multi-digit operations and algebraic expressions.
Solve simple word problems involving the addition of one-digit numbers.
Explain the concept of 'making ten' as an efficient addition strategy.
Ever wonder how quickly you can calculate small sums in your head? 🧠Mastering one-digit addition is like having a superpower for faster math!
In this lesson, we'll revisit and strengthen our skills in adding one-digit numbers. While it might seem simple, a strong grasp of these basics is essential for...
2
Key Concepts & Vocabulary
TermDefinitionExample
One-Digit NumberA whole number from 0 to 9.3, 7, 0, 9 are one-digit numbers. 10 is not a one-digit number.
SumThe result obtained when two or more numbers are added together.In $3 + 5 = 8$, the sum is 8.
AddendA number that is added to another number.In $3 + 5 = 8$, 3 and 5 are the addends.
Commutative Property of AdditionThis property states that changing the order of the addends does not change the sum.$2 + 7 = 9$ and $7 + 2 = 9$. The sum remains the same.
Mental MathPerforming mathematical calculations in your head without the use of paper, pencil, or calculator.Quickly knowing that $6 + 3 = 9$ without writing it down.
Making Ten StrategyA mental math strategy where you break down one addend to make the other addend equal to 10, simplifying the addition.For $7 + 5...
3
Core Formulas
Commutative Property of Addition
$a + b = b + a$
This rule tells us that the order in which you add two one-digit numbers doesn't affect the final sum. It's useful for simplifying mental calculations, as you can always start with the larger number.
Identity Property of Addition
$a + 0 = a$
Adding zero to any one-digit number results in the original number. Zero is the additive identity, meaning it doesn't change the value when added.
Making Ten Strategy
To add $a + b$ where the sum is greater than 10, find $x$ such that $a + x = 10$. Then, $a + b = (a + x) + (b - x) = 10 + (b - x)$.
This strategy helps simplify sums where the result is greater than 10. You 'borrow' from one number to make the other number 10, then add the remaining part. For...
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Challenging
To solve 3 + 8 most efficiently, a student first uses the Commutative Property to change the problem to 8 + 3. Then, they use the 'making ten' strategy. Which of the following best describes this combined process?
A.Swap to 8 + 3, then calculate (8 + 2) + (3 - 2) = 10 + 1 = 11.
B.Keep it as 3 + 8, then calculate (3 + 7) + (8 - 7) = 10 + 1 = 11.
C.Swap to 8 + 3, then count on: 9, 10, 11.
D.This combination of strategies is not possible.
Challenging
If the sum of two one-digit numbers is also a one-digit number, what is the maximum possible value of one of the addends?
A.4
B.5
C.9
D.8
Challenging
Given the equation 8 + n = 4 + 8, what must be the value of 'n' for the statement to be true, and which property justifies the answer without calculation?
A.n = 8; Identity Property
B.n = 4; Commutative Property
C.n = 12; Associative Property
D.n = 4; Identity Property
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