Division patterns over increasing place values

Learning Objectives Identify the basic division fact within a larger division problem (e.g., see '6 ÷ 3' in '600 ÷ 3'). Solve division problems where the dividend is a multiple of 10, 100, or 1000 and the divisor is a single digit. Explain the pattern of how zeros in the dividend affect the quotient when the divisor is a basic fact. Apply the place value pattern to mentally solve problems like 120 ÷ 4. Use related multiplication facts to check the answers of division problems involving multiples of 10. Predict the number of zeros in a quotient based on the number of zeros in the dividend. If you have 200 stickers to share equally among 2 friends, how many does each friend get? 🤔 Let's learn a super-fast shortcut to find out! In this lesson, you wil...

TermDefinitionExample DividendThe number that is being divided. It's the total amount you start with.In 150 ÷ 3 = 50, the dividend is 150. DivisorThe number you are dividing by. It's the number of equal groups you are making.In 150 ÷ 3 = 50, the divisor is 3. QuotientThe answer to a division problem. It's the amount in each group.In 150 ÷ 3 = 50, the quotient is 50. Basic FactA simple multiplication or division problem that you can often solve from memory.For the problem 240 ÷ 8, the basic fact is 24 ÷ 8 = 3. Place ValueThe value of a digit based on its position in a number (ones, tens, hundreds).In the number 700, the 7 is in the hundreds place, so its value is 700. PatternSomething that repeats in a way you can predict.The pattern in 20, 200, 2000 is that we add a zero ea...

The Basic Fact First Rule To solve (Basic Fact with Zeros) \div (Divisor), first solve (Basic Fact) \div (Divisor). When you see a big division problem with zeros at the end of the dividend, cover up the zeros to find the simple, basic fact. Solve that small problem first. The Zero Pattern Rule If (Dividend) \div (Divisor) = (Quotient), then (Dividend with 'n' zeros) \div (Divisor) = (Quotient with 'n' zeros). After you solve the basic fact, count the number of zeros you covered up in the dividend. Add that same number of zeros to the end of your basic fact's answer.