Mathematics Grade 3 15 min

Divide three-digit numbers

Divide three-digit numbers

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Introduction & Learning Objectives

Learning Objectives Divide a three-digit number by a one-digit number using place value strategies. Use models like base-ten blocks or drawings to represent the division of three-digit numbers. Solve division problems with three-digit dividends that result in a whole number quotient. Solve division problems with three-digit dividends that result in a quotient with a remainder. Use multiplication to check the answer to a division problem. Apply division skills to solve one-step word problems. If you found a treasure chest with 369 gold coins to share equally among 3 pirates, how many coins would each pirate get? 🏴‍☠️ Let's learn how to find out! In this lesson, you will learn how to divide big three-digit numbers by breaking them into smaller, friendlier parts. This is...
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Key Concepts & Vocabulary

TermDefinitionExample DividendThe total number that you are dividing or sharing into groups.In the problem 125 ÷ 5, the dividend is 125. DivisorThe number you are dividing by. It tells you how many equal groups to make.In the problem 125 ÷ 5, the divisor is 5. QuotientThe answer to a division problem. It tells you how many are in each group.In the problem 125 ÷ 5 = 25, the quotient is 25. RemainderThe amount 'left over' after you have made your equal groups.In 126 ÷ 5, the answer is 25 with 1 left over. The remainder is 1. Place ValueThe value of a digit based on its position in a number (hundreds, tens, ones).In the number 482, the '4' has a value of 400 (four hundreds), the '8' has a value of 80 (eight tens), and the '2' has a value of 2 (two ones...
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Core Formulas

The Division Equation Dividend \div Divisor = Quotient This is the basic structure of a division problem. The total amount divided by the number of groups equals the amount in each group. Checking with Multiplication Quotient \times Divisor = Dividend Multiplication is the opposite of division. You can check your division answer by multiplying the quotient by the divisor. If it equals the dividend, you are correct! Checking with a Remainder (Quotient \times Divisor) + Remainder = Dividend If your division problem has a remainder, you multiply the quotient and the divisor first, and then add the remainder. The result should equal your original dividend.

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Sample Practice Questions

Challenging
A school needs to transport 138 students to a science fair. Each van can hold 9 students. What is the smallest number of vans needed to take all the students?
A.15
B.15 R 3
C.16
D.14
Challenging
When a number is divided by 6, the quotient is 42 and the remainder is 4. What is the number?
A.252
B.256
C.248
D.276
Challenging
I am a number between 300 and 310. When you divide me by 7, the remainder is 2. What number am I?
A.301
B.303
C.305
D.307

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