Divide numbers ending in zeroes

Learning Objectives Identify trailing zeroes in dividends and divisors. Apply the 'zero cancellation' shortcut to simplify division problems. Mentally divide multiples of 10, 100, and 1000. Solve multi-digit division problems where both numbers end in zeroes. Translate word problems involving large numbers into division expressions. Verify their answers using multiplication. Ever wonder how to quickly figure out how many $20 video games you can buy with $4000? 🎮 This lesson shows you a super-fast shortcut! You will learn a simple trick to divide large numbers that end in zeroes. This mental math strategy makes division much faster and easier, helping you solve complex problems with confidence. It's a powerful tool for both schoolwork and everyday life. Real...

TermDefinitionExample DividendThe number that is being divided. It's the total amount you start with.In 800 ÷ 20, the dividend is 800. DivisorThe number that you are dividing by. It's the number of groups you are splitting the dividend into.In 800 ÷ 20, the divisor is 20. QuotientThe answer to a division problem.In 800 ÷ 20 = 40, the quotient is 40. Trailing ZeroesThe zeroes at the very end of a whole number, after all non-zero digits.The number 7,500 has two trailing zeroes. The number 7,050 has one trailing zero. Multiple of 10Any number that can be divided evenly by 10. These numbers always end in at least one zero.10, 50, 200, and 340 are all multiples of 10.

The Zero Cancellation Rule If Dividend = A \times 10^n and Divisor = B \times 10^m, then \frac{A \times 10^n}{B \times 10^m} = \frac{A}{B} \times 10^{n-m} When dividing numbers that both end in zeroes, you can cancel out the same number of trailing zeroes from both the dividend and the divisor before you divide. This simplifies the problem. The Basic Fact First Rule (A \times 10^n) \div B = (A \div B) \times 10^n After canceling zeroes, focus on the basic division fact with the remaining non-zero digits. Then, attach any remaining zeroes from the dividend to your answer.