Mathematics Grade 6 15 min

Division facts for 6, 7, 8, and 9

Division facts for 6, 7, 8, and 9

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Introduction & Learning Objectives

Learning Objectives Recall division facts for 6, 7, 8, and 9 with fluency. Apply inverse operations (multiplication) to verify division facts. Solve division problems involving dividends up to 81 for these divisors. Identify and utilize fact families to solve division problems. Use division facts to solve simple real-world problems. Fluently calculate quotients for division facts involving 6, 7, 8, and 9. Ever wonder how many cookies each friend gets if you share 42 cookies among 6 people? 🍪 Let's find out how quickly you can solve problems like this! In this lesson, you'll master division facts for the numbers 6, 7, 8, and 9. Knowing these facts quickly will make solving more complex math problems, like those involving ratios, percentages, and algebraic expressi...
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Key Concepts & Vocabulary

TermDefinitionExample DivisionThe process of splitting a number into equal parts or groups to find out how many times one number is contained in another.$48 \div 6 = 8$ means 48 items split into 6 equal groups results in 8 items per group. DivisorThe number by which another number (the dividend) is divided. It tells you the size of each group or the number of groups.In $48 \div 6 = 8$, the number 6 is the divisor. DividendThe number being divided. It represents the total amount or quantity that is being split.In $48 \div 6 = 8$, the number 48 is the dividend. QuotientThe result obtained from dividing one number by another. It is the answer to a division problem.In $48 \div 6 = 8$, the number 8 is the quotient. Fact FamilyA set of related multiplication and division equations that use the...
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Core Formulas

Division as Inverse of Multiplication If $a \times b = c$, then $c \div b = a$ and $c \div a = b$. This fundamental rule shows that division 'undoes' multiplication. To find a quotient, you can think, 'What number multiplied by the divisor gives the dividend?' Any Number Divided by Itself (except zero) $n \div n = 1$ (where $n \neq 0$). When any non-zero number is divided by itself, the result is always 1. For example, if you have 49 apples and divide them among 49 people, each person gets 1 apple. Zero Divided by Any Non-Zero Number $0 \div n = 0$ (where $n \neq 0$). If you have zero items and divide them among any number of groups, each group still receives zero items. You cannot divide by zero. Division by One $n \div 1 = n$. Dividing a...

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Sample Practice Questions

Challenging
The quotient of a division problem is 8. The divisor is one greater than the quotient. What is the dividend?
A.64
B.72
C.56
D.81
Challenging
The quotient of a division problem is 9 and the divisor is 8. What is the dividend? If this dividend is then divided by 6, what is the new quotient?
A.The dividend is 72; the new quotient is 12.
B.The dividend is 64; the new quotient is 10.
C.The dividend is 72; the new quotient is 11.
D.The dividend is 81; the new quotient is 13.
Challenging
A certain number, when divided by 8, gives a result that is equal to the quotient of 54 ÷ 6. What is that number?
A.64
B.72
C.56
D.48

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