Mathematics
Grade 5
15 min
Choose the multiples of a given number up to 12
Choose the multiples of a given number up to 12
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1
Introduction & Learning Objectives
Learning Objectives
Define what a 'multiple' is in mathematics.
Identify the multiples of any given whole number.
List the first twelve multiples of a given number.
Distinguish between multiples and non-multiples of a given number from a list.
Apply multiplication facts to efficiently find multiples up to 12.
Solve problems that require choosing multiples of a number within a specified range.
Have you ever noticed patterns in numbers, like counting by 2s, 5s, or 10s? 🤔 Today, we'll discover the secret behind these special numbers called 'multiples'!
In this lesson, you'll learn how to find and choose multiples of any number, specifically focusing on multiples up to the 12th one. Understanding multiples helps us with multiplication, division, a...
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Key Concepts & Vocabulary
TermDefinitionExample
MultipleThe result of multiplying a number by another whole number.10 is a multiple of 5 because 5 x 2 = 10.
FactorA whole number that divides exactly into another number without a remainder. Factors are numbers you multiply together to get a product.5 and 2 are factors of 10.
ProductThe answer to a multiplication problem.In 5 x 2 = 10, 10 is the product.
MultiplicationA mathematical operation that involves repeated addition of the same number.3 x 4 means 3 added 4 times (3 + 3 + 3 + 3 = 12).
Skip CountingCounting by a number other than 1, which generates multiples of that number.Skip counting by 3s: 3, 6, 9, 12... These are multiples of 3.
Up to 12 (as a factor)This phrase means we are looking for multiples when the given number is multiplied by 1, 2, 3, all the way...
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Core Formulas
Rule for Finding Multiples
To find the multiples of a given number 'n', multiply 'n' by consecutive whole numbers: $n \times 1, n \times 2, n \times 3, \dots$
This rule generates the sequence of multiples for any given number. The first multiple is always the number itself.
Rule for Identifying Multiples
A number 'M' is a multiple of another number 'n' if 'M' can be divided by 'n' with no remainder: $M \div n = \text{whole number (with remainder 0)}$
This rule helps you check if a specific number is indeed a multiple of another number. If there's a remainder, it's not a multiple.
Rule for Multiples 'Up to 12'
When asked for multiples 'up to 12', list the multiples by multiplying t...
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Challenging
I am a number less than 100. I am a multiple of 12 and also a multiple of 10. What number am I?
A.60
B.80
C.96
D.120
Challenging
Which number is a multiple of 4, but is NOT a multiple of 8 or 12?
A.16
B.24
C.36
D.20
Challenging
The 6th multiple of a secret number is 54. What is the 11th multiple of that same secret number?
A.66
B.110
C.99
D.594
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