Mathematics
Grade 6
15 min
Add multiples of 10
Add multiples of 10
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify and define multiples of 10.
Explain the role of place value when adding multiples of 10.
Mentally add two-digit multiples of 10.
Use the standard algorithm to add multi-digit multiples of 10.
Solve real-world problems involving the addition of multiples of 10.
Articulate strategies for efficiently adding multiples of 10.
Ever wonder how quickly you can calculate the total cost of multiple items priced at $10, $20, or $30? 💰 This lesson will unlock the secrets to making those calculations lightning fast!
In this lesson, you'll learn how to efficiently add numbers that are multiples of 10. Understanding this concept will not only improve your mental math skills but also strengthen your grasp of place value, which is crucial for more complex...
2
Key Concepts & Vocabulary
TermDefinitionExample
MultipleA multiple of a number is the product of that number and any whole number (integer). For example, 6, 9, and 12 are multiples of 3.The multiples of 5 are 5, 10, 15, 20, ...
Multiple of 10A multiple of 10 is any number that can be divided by 10 with no remainder. These numbers always end in a zero.10, 20, 30, 100, 250 are all multiples of 10.
Place ValueThe value of a digit based on its position in a number. For instance, in the number 230, the '2' is in the hundreds place, the '3' in the tens place, and the '0' in the ones place.In 40, the '4' represents 4 tens, or 40 units. In 400, the '4' represents 4 hundreds, or 400 units.
Tens PlaceThe position of a digit that represents groups of ten. It is the second dig...
3
Core Formulas
Adding Multiples of 10 (General Form)
$10a + 10b = 10(a+b)$
This rule shows that when you add two multiples of 10, you can factor out the 10, add the non-zero digits, and then multiply the sum by 10 (or simply append a zero). This highlights the efficiency of the operation.
Place Value Alignment for Addition
When adding numbers, align them vertically so that digits with the same place value are in the same column (ones under ones, tens under tens, etc.).
This rule is fundamental for using the standard algorithm. For multiples of 10, it means the '0' in the ones place will always align, and the tens digits will align, making the addition straightforward.
The 'Add the Non-Zero Digits' Rule
To add two multiples of 10, add the digits in the tens place (...
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
A store manager is bundling items. One bundle has items worth $10a and another has items worth $10b. If the manager combines them, the total value is $10(a+b)$. If a=12 and b=20, what is the total value of the combined bundle?
A.$32
B.$320
C.$2400
D.$1220
Challenging
Team A scored 80 points in the first half and 70 points in the second. Team B scored 90 points in the first half and 50 points in the second. Which statement correctly compares their final scores?
A.Team A scored 10 more points than Team B.
B.Team B scored 10 more points than Team A.
C.Team A and Team B had the same final score.
D.Team A scored 20 more points than Team B.
Challenging
Consider the sequence: S1 = 10, S2 = 10+20, S3 = 10+20+30, S4 = 10+20+30+40. What is the value of S5?
A.150
B.120
C.100
D.200
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free