Mathematics Grade 5 15 min

Divide numbers ending in zeroes

Divide numbers ending in zeroes

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Introduction & Learning Objectives

Learning Objectives Identify and use basic division facts to solve problems with multiples of 10, 100, and 1000. Explain the pattern of removing or cancelling zeroes when dividing numbers that end in zero. Accurately solve division problems where both the dividend and divisor end in zeroes (e.g., 5400 ÷ 90). Apply the 'cancel out zeroes' shortcut to simplify and mentally solve division problems. Check their division answers using inverse operations (multiplication). Solve one-step word problems that involve dividing numbers ending in zeroes. How can a factory that made 8,000 toys pack them into 40 boxes equally without using a calculator? 🤖 Let's learn a super-fast math trick! In this lesson, you will discover a simple shortcut for dividing large numbers tha...
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Key Concepts & Vocabulary

TermDefinitionExample DividendThe number that is being divided. It's the total amount you start with.In 600 ÷ 30 = 20, the dividend is 600. DivisorThe number you are dividing by. It's the number of equal groups you are making.In 600 ÷ 30 = 20, the divisor is 30. QuotientThe answer to a division problem.In 600 ÷ 30 = 20, the quotient is 20. Basic FactA simple division problem that you can often solve from memory, usually using numbers from 1 to 10.The basic fact in 450 ÷ 5 is 45 ÷ 5 = 9. Multiple of 10Any number that ends in a zero, like 10, 50, 200, or 3400.The numbers 70 and 900 are both multiples of 10.
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Core Formulas

The Zero Cancellation Rule (a × 10ⁿ) ÷ (b × 10ⁿ) = a ÷ b When both the dividend and the divisor end in zeroes, you can cancel out an equal number of zeroes from BOTH numbers before you divide. This makes the problem much simpler. The Basic Fact and Zeroes Rule (a × 10ⁿ) ÷ b = (a ÷ b) × 10ⁿ When only the dividend ends in zeroes, you can temporarily ignore the zeroes to solve the basic fact, and then add the zeroes back to your answer.

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Sample Practice Questions

Challenging
A warehouse has 240,000 pencils. The pencils are first packed into boxes of 100. Then, these boxes are packed into crates of 20. How many crates are needed for all the pencils?
A.12
B.120
C.240
D.1,200
Challenging
Find the missing divisor in the equation: 420,000 ÷ ? = 600.
A.7
B.70
C.700
D.7,000
Challenging
A number is divided by 40, and the quotient is 800. What is that number?
A.3,200
B.20
C.320
D.32,000

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