Mathematics
Grade 3
15 min
Divide by 8
Divide by 8
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Relate division by 8 to its inverse operation, multiplication by 8.
Use the strategy of repeated subtraction to solve division problems with a divisor of 8.
Model division by 8 by drawing or using objects to create equal groups.
Solve one-step word problems that require dividing by 8.
Recall the division facts for the number 8 with increasing fluency.
Use a multiplication fact table or number line to find the quotient in a division by 8 problem.
If an octopus has 8 arms, and you see 24 arms waving at you, how many octopuses are there? ๐
In this lesson, we will learn all about dividing by 8! This means we will practice sharing a total amount into 8 equal groups. Learning to divide by 8 helps us solve problems quickly and is a key step in becoming a math...
2
Key Concepts & Vocabulary
TermDefinitionExample
DivisionThe process of splitting a number into equal parts or groups. It's like fair sharing.24 รท 8 means splitting 24 into 8 equal groups.
DividendThe total number that you are dividing. It's the big number you start with.In 40 รท 8 = 5, the dividend is 40.
DivisorThe number that you are dividing by. It tells you how many groups to make.In 40 รท 8 = 5, the divisor is 8.
QuotientThe answer to a division problem. It tells you how many are in each group.In 40 รท 8 = 5, the quotient is 5.
Fact FamilyA set of four related math facts that use the same three numbers. It includes two multiplication and two division facts.The fact family for 6, 8, and 48 is: 6 ร 8 = 48, 8 ร 6 = 48, 48 รท 8 = 6, 48 รท 6 = 8.
Equal GroupsGroups that all have the exact same number of items...
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Core Formulas
Inverse Operation Rule
a \div 8 = b \quad \text{is the same as} \quad b \times 8 = a
Division and multiplication are opposites. If you are stuck on a division problem like 32 รท 8, you can think, 'What number times 8 equals 32?'
Halving Thrice Rule
x \div 8 = (x \div 2) \div 2 \div 2
This is a cool trick! Dividing a number by 8 is the same as cutting it in half three times. For 40 รท 8, you can do 40 รท 2 = 20, then 20 รท 2 = 10, then 10 รท 2 = 5.
Division by Itself Rule
8 \div 8 = 1
Any number (except zero) divided by itself is always 1. If you have 8 cookies and 8 friends, each friend gets 1 cookie.
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Challenging
I am thinking of a number. When I multiply it by 8, the answer is the same as 50 + 14. What is the number?
A.5
B.6
C.7
D.8
Challenging
A number was divided by 2, then the result was divided by 2, and then that result was divided by 2. The final answer was 3. What was the starting number?
A.24
B.12
C.40
D.16
Challenging
Which of these problems has a different answer than the others?
A.48 รท 8
B.24 รท 4
C.30 รท 5
D.56 รท 8
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