Mathematics Grade 3 15 min

Divide by 11

Divide by 11

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Introduction & Learning Objectives

Learning Objectives Recall multiplication facts for 11 up to 11 x 12. Use multiplication facts to solve division problems with 11 as the divisor. Identify the dividend, divisor, and quotient in a division sentence involving 11. Solve one-step word problems that require dividing by 11. Explain the relationship between multiplying by 11 and dividing by 11 using fact families. Recognize multiples of 11 up to 132. If you have 33 shiny stickers to share equally with 11 friends, how many stickers does each friend get? ✨ In this lesson, we will learn a super easy way to divide numbers by 11. Knowing how to divide by 11 helps you solve problems quickly and shows you how numbers can be part of a 'fact family'. Real-World Applications Sharing a bag of 44 candies among...
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Key Concepts & Vocabulary

TermDefinitionExample DivisionThe action of splitting something into equal parts or groups.22 ÷ 11 = 2 means we are splitting 22 into 11 equal groups, with 2 in each group. DividendThe total number that you are dividing up.In the problem 44 ÷ 11 = 4, the dividend is 44. DivisorThe number you are dividing by. It tells you how many equal groups to make.In the problem 44 ÷ 11 = 4, the divisor is 11. QuotientThe answer to a division problem.In the problem 44 ÷ 11 = 4, the quotient is 4. Fact FamilyA set of four related math facts using the same three numbers.The fact family for 5, 11, and 55 is: 5 × 11 = 55, 11 × 5 = 55, 55 ÷ 11 = 5, 55 ÷ 5 = 11. Multiple of 11A number you get when you multiply 11 by another whole number.The first five multiples of 11 are 11, 22, 33, 44, and 55.
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Core Formulas

The Division Formula Dividend ÷ Divisor = Quotient This is how you write a division problem. The total amount comes first, then the division sign, then the number of groups you are making. The Multiplication Check Quotient × Divisor = Dividend To check your division answer, you can multiply the quotient by the divisor. If you get the dividend, your answer is correct! This is the best way to find the answer too. The Double-Digit Pattern For numbers like 22, 33, 44... up to 99, the quotient is the same as the digit. When you see a two-digit number where both digits are the same, dividing by 11 is easy! For example, in 88, the digit is 8, so 88 ÷ 11 = 8.

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Sample Practice Questions

Challenging
Leo solved 88 ÷ 11 and got 7. He explained, 'I know 11 × 7 is 77, and 77 is very close to 88.' What is the main error in Leo's thinking?
A.He should have used subtraction.
B.He multiplied instead of dividing.
C.Division requires an exact answer, not a close guess.
D.His multiplication of 11 x 7 is wrong.
Challenging
A baker has between 90 and 108 cookies. He is able to group all of them into boxes of 11 with none left over. How many cookies does the baker have?
A.95
B.99
C.101
D.110
Challenging
If you know that 10 × 11 = 110, what is 121 ÷ 11?
A.11
B.10
C.12
D.It's impossible to know.

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