Mathematics Grade 7 15 min

Divisibility rules: word problems

Divisibility rules: word problems

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1

Introduction & Learning Objectives

Learning Objectives Identify situations in word problems where divisibility rules can be applied. Correctly apply divisibility rules for 2, 3, 5, and 10 to given numbers. Break down word problems to determine the relevant numbers and divisibility questions. Use divisibility rules to quickly check if a number can be divided evenly by another. Explain their reasoning when using divisibility rules to solve a word problem. Formulate a solution strategy for word problems involving equal distribution or grouping. Ever wondered if you can share a big bag of candies equally among your friends without any leftovers? 🍬 Divisibility rules are your secret superpower for quick checks! In this lesson, you'll learn how to use simple divisibility rules to solve real-world word proble...
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Key Concepts & Vocabulary

TermDefinitionExample DivisibilityA number is divisible by another number if, when you divide them, the remainder is zero. It means one number can be divided by another a whole number of times.20 is divisible by 5 because 20 ÷ 5 = 4 with no remainder. Divisibility RuleA shortcut or a quick test to determine if a number is divisible by another number without performing the actual division.The divisibility rule for 2 states that if a number ends in 0, 2, 4, 6, or 8, it's divisible by 2. So, 348 is divisible by 2. Word ProblemA mathematical problem presented in a narrative or story format, requiring you to identify the numbers and operations needed to find a solution.If there are 24 cookies and 6 friends, can each friend get an equal number of cookies? (This is a word problem that can u...
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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 can be split into two equal groups or if it's an even number. Divisibility Rule for 3 A number is divisible by 3 if the sum of its digits is divisible by 3. This rule is useful for checking if items can be grouped into threes or if a total amount can be divided by three. Divisibility Rule for 5 A number is divisible by 5 if its last digit is 0 or 5. Apply this rule when dealing with quantities that might be grouped in fives, like money denominations or items in packs of five. Divisibility Rule for 10 A number is divisible by 10 if its last digit is 0. This rule is perfect for problems involving groups of te...

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Sample Practice Questions

Easy
A candy factory produced 950 lollipops. Can they be packed into bags of 10 with none left over?
A.Yes, because the last digit is 5.
B.No, because the sum of the digits is 14.
C.Yes, because the last digit is 0.
D.No, because it's not an even number.
Easy
A gym teacher has 187 students in her class. Can she divide them into pairs for a game without anyone being left out?
A.Yes, because 1+8+7 = 16.
B.No, because the last digit is 7, which is an odd number.
C.Yes, because the number is large.
D.No, because the last digit is not a 0 or 5.
Easy
A summer camp has 245 campers. The director wants to form groups of 5 for a scavenger hunt. Can this be done with no campers left over?
A.Yes, because the last digit is 5.
B.No, because the number is odd.
C.Yes, because 2+4+5 = 11.
D.No, because the last digit is not 0.

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