Mathematics Grade 5 15 min

Divide larger numbers by 2-digit numbers: word problems

Divide larger numbers by 2-digit numbers: word problems

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Introduction & Learning Objectives

Learning Objectives Identify division word problems involving larger numbers and 2-digit divisors. Estimate quotients to make long division with 2-digit divisors more manageable. Accurately perform long division with dividends up to four digits and 2-digit divisors. Interpret the meaning of the remainder in the context of a word problem. Check their division answers using multiplication and addition. Solve multi-step word problems that include division by 2-digit numbers. Ever wondered how a bakery figures out how many dozens of cookies they can make from a giant batch of dough? 🍪 It's all about dividing larger numbers! In this lesson, you'll learn how to tackle word problems that require dividing big numbers by 2-digit numbers. This skill is super useful for sha...
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Key Concepts & Vocabulary

TermDefinitionExample DividendThe total amount or number that is being divided or shared.In the problem '120 cookies are shared among 15 friends,' 120 is the dividend. DivisorThe number by which the dividend is divided; it represents the number of groups or the size of each group.In the problem '120 cookies are shared among 15 friends,' 15 is the divisor. QuotientThe result of a division problem, indicating how many times the divisor fits into the dividend.If 120 divided by 15 is 8, then 8 is the quotient. RemainderThe amount left over after dividing one number by another, when the dividend is not perfectly divisible by the divisor.If 125 divided by 15 is 8 with 5 left over, then 5 is the remainder. EstimationThe process of finding an approximate value that is close en...
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Core Formulas

The Division Algorithm $Dividend = (Quotient \times Divisor) + Remainder$ This rule helps you check your division answer. After you find the quotient and remainder, multiply the quotient by the divisor and add the remainder. The result should be equal to your original dividend. Steps for Long Division (DMSB) 1. **D**ivide: How many times does the divisor go into the part of the dividend? 2. **M**ultiply: Multiply the quotient digit by the divisor. 3. **S**ubtract: Subtract the product from the part of the dividend. 4. **B**ring Down: Bring down the next digit of the dividend. Repeat these four steps until there are no more digits to bring down. This systematic approach helps break down complex division problems into smaller, manageable parts. Interpreting the Remainde...

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Sample Practice Questions

Challenging
A number was divided by 25. The result was a quotient of 142 and a remainder of 15. What was the original number (the dividend)?
A.3,550
B.3,565
C.3,580
D.3,535
Challenging
A concert hall sold 1,845 tickets for a show on Friday. The hall has 45 rows of seats and each ticket costs $35. If all the ticket holders attend, how many people will be sitting in each row?
A.52 people
B.1,800 people
C.41 people
D.64,575 people
Challenging
A factory has 3,450 oranges to pack into crates, with 45 oranges per crate. What is the smallest number of additional oranges needed to be able to pack one more full crate with no oranges left over?
A.30 oranges
B.45 oranges
C.76 oranges
D.15 oranges

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