Divide by 1-digit numbers: estimate quotients

Learning Objectives Identify compatible numbers to simplify division problems. Estimate quotients of multi-digit numbers divided by 1-digit numbers. Apply basic multiplication and division facts to solve estimation problems involving large numbers. Determine if an estimate is an overestimate or an underestimate and explain why. Solve real-world word problems that require estimating a quotient. Justify the reasonableness of an estimated answer in a given context. You and 6 friends earn $2,780 from a summer project. How can you quickly figure out *about* how much each person gets without a calculator? 💰 This tutorial will teach you the powerful skill of estimation for division. You'll learn how to use 'compatible numbers' and basic math facts to find approxima...

TermDefinitionExample QuotientThe result obtained by dividing one quantity by another.In 45 ÷ 5 = 9, the quotient is 9. DividendThe number that is being divided.In 45 ÷ 5 = 9, the dividend is 45. DivisorThe number by which another number is to be divided.In 45 ÷ 5 = 9, the divisor is 5. Estimate (verb)To find a value that is close enough to the right answer, usually involving some thought or calculation.We can estimate the answer to 298 ÷ 3 by calculating 300 ÷ 3. Compatible NumbersNumbers that are easy to compute with mentally. In division, these are numbers that form a basic division fact.To estimate 432 ÷ 8, we can use the compatible numbers 400 and 8, because we know the basic fact 40 ÷ 8 = 5. Overestimate / UnderestimateAn overestimate is an estimate that is higher than the actual an...

The Compatible Numbers Method Dividend ÷ Divisor ≈ Compatible Dividend ÷ Divisor To estimate a quotient, change the dividend to a nearby number that is easily divisible by the divisor. This new number is a 'compatible number'. The goal is to create a basic division fact you can solve mentally. The Basic Fact Pattern Rule If a ÷ b = c, then (a × 10^n) ÷ b = (c × 10^n) This rule helps you handle place value. If you know a basic fact like 56 ÷ 7 = 8, you can easily solve related problems like 560 ÷ 7 = 80 or 5,600 ÷ 7 = 800 by adding the correct number of zeros.