Mathematics Grade 3 15 min

Multiply by 11

Multiply by 11

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Introduction & Learning Objectives

Learning Objectives Multiply any single-digit number (0-9) by 11. Identify and describe the pattern in the products of 11. Use repeated addition to solve multiplication problems involving 11. Solve one-step word problems that require multiplying by 11. Draw an array to model a multiplication problem with 11. State from memory the multiples of 11 up to 99. Explain the 'double the digit' trick for multiplying single digits by 11. What if you could learn a super-fast magic trick for multiplying? ✨ Let's learn the secret of the number 11! In this lesson, you will discover a fun and easy pattern for multiplying by 11. This cool trick will make you a multiplication superstar and help you solve problems much faster. Get ready to master the amazing 11s! Real-Worl...
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Key Concepts & Vocabulary

TermDefinitionExample MultiplyTo find the total number of items in equal-sized groups. It's like fast adding!3 x 11 means you have 3 groups of 11. FactorThe numbers that are being multiplied together in a multiplication problem.In the problem 5 x 11 = 55, the numbers 5 and 11 are the factors. ProductThe answer you get when you multiply two numbers.In the problem 5 x 11 = 55, the number 55 is the product. PatternSomething that repeats in a way you can predict. Numbers can have patterns!The products when you multiply by 11 follow a pattern: 11, 22, 33, 44, 55... Repeated AdditionAdding the same number over and over again. Multiplication is a shortcut for repeated addition.4 x 11 is the same as adding 11 four times: 11 + 11 + 11 + 11. ArrayA picture that shows objects in equal rows and...
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Core Formulas

The Double-Digit Rule (for numbers 1-9) d \times 11 = dd When you multiply any single-digit number (d) from 1 to 9 by 11, the answer is just that digit written two times. For example, for 6 x 11, the digit is 6, so the answer is 66. The Zero Rule n \times 0 = 0 Any number multiplied by zero is always zero. This means 0 x 11 is 0, because you have zero groups of 11. The Repeated Addition Rule n \times 11 = 11 + 11 + ... + 11 (n times) To multiply any number (n) by 11, you can add 11 to itself that many times. This is a great way to check your work.

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Sample Practice Questions

Challenging
Mia has 3 bags with 11 apples in each. Her friend gives her 2 more bags with 11 apples in each. How many apples does Mia have in total now?
A.33 apples
B.22 apples
C.11 apples
D.55 apples
Challenging
The multiples of 11 from single-digit multiplication make a pattern: 11, 22, 33, 44... If this pattern continues, which number would you NOT see?
A.77
B.88
C.111
D.99
Challenging
Why is the answer to 3 x 11 the same as 11 + 11 + 11?
A.Because multiplication is a shortcut for repeated subtraction.
B.Because 3 x 11 means '3 groups of 11', which is the same as adding 11 three times.
C.Because both problems have a 3 and an 11 in them.
D.Because the 'double the digit' rule says so.

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