Mathematics
Grade 3
15 min
Divide by 5
Divide by 5
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Relate division by 5 to its corresponding multiplication fact.
Use skip counting by 5s to solve division problems.
Identify that numbers ending in 0 or 5 can be divided evenly by 5.
Solve one-step word problems that require dividing by 5.
Model division by 5 by drawing equal groups.
Check their division answers using multiplication.
You have a bag with 20 shiny nickels. How many dollars do you have? 🪙 Let's find out how dividing by 5 helps us solve this!
In this lesson, you will learn a super useful skill: how to divide numbers by 5. This means you'll be able to share things into 5 equal groups or see how many groups of 5 you can make. It's a key step in becoming a division superstar!
Real-World Applications
Sharing a bag of 30 grapes...
2
Key Concepts & Vocabulary
TermDefinitionExample
DivisionThe action of splitting a larger number into smaller, equal groups.20 ÷ 5 means splitting 20 into 5 equal groups.
DividendThe total number of items you are starting with before you divide.In 35 ÷ 5 = 7, the dividend is 35.
DivisorThe number you are dividing by. It tells you how many groups to make or the size of each group.In 35 ÷ 5 = 7, the divisor is 5.
QuotientThe answer to a division problem. It tells you how many are in each group.In 35 ÷ 5 = 7, the quotient is 7.
Fact FamilyA set of four related multiplication and division facts that use the same three numbers.The fact family for 5, 6, and 30 is: 5 × 6 = 30, 6 × 5 = 30, 30 ÷ 5 = 6, 30 ÷ 6 = 5.
Equal GroupsGroups that all have the exact same number of items in them.If you divide 15 pencils into 5 groups,...
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Core Formulas
The 'Ends in 0 or 5' Rule
A number can be divided evenly by 5 if its last digit is a 0 or a 5.
Use this rule to quickly check if a number can be shared into 5 equal groups without any leftovers. For example, 40 ends in 0, so it can be divided by 5. 23 ends in 3, so it cannot.
The Multiplication Check Rule
Quotient × Divisor = Dividend
After you find an answer to a division problem, you can check if it's correct by using multiplication. If you solve 25 ÷ 5 = 5, you can check it by calculating 5 × 5, which equals 25.
The Fact Family Connection
If a × 5 = b, then b ÷ 5 = a
Multiplication and division are opposites. If you know your 5s multiplication facts, you already know how to divide by 5! If you know 8 × 5 = 40, you automatically know that 40 ÷ 5 = 8....
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Challenging
A group of 32 people are taking vans to a museum. Each van can hold 5 people. What is the smallest number of vans needed to take everyone?
A.7
B.6
C.5
D.32
Challenging
Farmer John has 4 chicken coops with 5 chickens in each. He also has 15 chickens in a barn. He wants to divide all his chickens equally into 5 large pens. How many chickens will be in each pen?
A.4
B.7
C.35
D.8
Challenging
A number is divided by 5. The answer is 9 with a remainder of 3. What is the number?
A.27
B.45
C.48
D.53
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