Mathematics Grade 5 15 min

Divisibility rules for 2, 5, and 10

Divisibility rules for 2, 5, and 10

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Introduction & Learning Objectives

Learning Objectives Identify if a whole number is divisible by 2 by checking its last digit. Identify if a whole number is divisible by 5 by checking its last digit. Identify if a whole number is divisible by 10 by checking its last digit. Explain why a number is divisible by 2, 5, or 10 using the correct rule. Sort a list of numbers based on their divisibility by 2, 5, and 10. Apply divisibility rules to determine if a number is divisible by more than one of these numbers (e.g., both 2 and 5). Use divisibility rules to solve simple real-world problems involving equal groups. Have you ever tried to share candy with friends and wanted to make sure everyone gets the same amount with none left over? ๐Ÿฌ These rules are the secret to doing that super fast! In this lesson, you...
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Key Concepts & Vocabulary

TermDefinitionExample DivisibleA number is 'divisible' by another number if it can be divided exactly, with a remainder of 0.12 is divisible by 2 because 12 รท 2 = 6 with a remainder of 0. DivisorThe number that you are dividing by.In the problem 15 รท 5 = 3, the number 5 is the divisor. RemainderThe amount 'left over' after a division problem that doesn't divide evenly.In the problem 13 รท 2 = 6 R1, the number 1 is the remainder. Even NumberA whole number that can be divided exactly by 2. All even numbers end in 0, 2, 4, 6, or 8.4, 38, and 570 are all even numbers. Odd NumberA whole number that cannot be divided exactly by 2. All odd numbers end in 1, 3, 5, 7, or 9.7, 21, and 863 are all odd numbers. Last Digit (Ones Place)The digit in the far-right position of a wh...
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Core Formulas

Divisibility Rule for 2 A number is divisible by 2 if its last digit is an even number (0, 2, 4, 6, or 8). Use this rule to quickly check if a number is even. If you can split a number into two equal groups with nothing left over, it's divisible by 2. Divisibility Rule for 5 A number is divisible by 5 if its last digit is 0 or 5. Use this rule when you want to see if a number can be broken into groups of 5. Think about counting by fives! Divisibility Rule for 10 A number is divisible by 10 if its last digit is 0. This is the easiest rule! Use it to see if a number can be broken into groups of 10. If it ends in 0, it works.

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Sample Practice Questions

Challenging
A 4-digit number is written as 1,38_. The last digit is missing. If the number is divisible by 5 but NOT by 2, what must the missing digit be?
A.0
B.5
C.2
D.8
Challenging
What is the smallest 4-digit number that is divisible by 2, 5, and 10?
A.1,025
B.1,010
C.1,000
D.1,250
Challenging
Sam says, 'Any whole number that is divisible by 10 must also be divisible by 2 and 5.' Maria says, 'Any whole number that is divisible by 2 and 5 must also be divisible by 10.' Who is correct?
A.Both Sam and Maria are correct.
B.Only Sam is correct.
C.Only Maria is correct.
D.Neither of them is correct.

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