Fractions review

Learning Objectives Understand the relationship between decimals and fractions. Divide a decimal by a whole number. Divide a whole number by a decimal. Divide a decimal by another decimal. Estimate quotients of decimals to check for reasonableness. Solve real-world problems involving decimal division. Ever wondered how many smaller pieces you can cut from a longer rope, even when the measurements aren't whole numbers? ✂️ Let's find out how dividing decimals helps us solve these puzzles! In this lesson, we'll explore how to divide decimals, building on our understanding of fractions and whole number division. You'll learn different strategies to tackle decimal division problems, making everyday calculations much easier and more accurate. Real-World Appli...

TermDefinitionExample DecimalA number that uses a decimal point to show parts of a whole, based on powers of ten. Decimals are a special type of fraction.0.75 represents 75 hundredths, which is equivalent to the fraction 3/4. DivisorThe number by which another number is divided; it's the number 'doing' the dividing.In the problem 12.5 ÷ 2.5, the divisor is 2.5. DividendThe number that is being divided; it's the total amount being split.In the problem 12.5 ÷ 2.5, the dividend is 12.5. QuotientThe result of a division problem; it's the answer you get when you divide.In 12.5 ÷ 2.5 = 5, the quotient is 5. Decimal PointThe symbol used to separate the whole number part from the fractional part of a decimal number.In the number 3.14, the dot between 3 and 1 is the decima...

Dividing a Decimal by a Whole Number Divide as you would with whole numbers, but place the decimal point in the quotient directly above the decimal point in the dividend. This rule applies when your divisor is a whole number. The decimal point in the quotient will be in the same column as the decimal point in the dividend. Dividing by a Decimal (Making the Divisor a Whole Number) To divide by a decimal, first multiply both the divisor and the dividend by a power of 10 (10, 100, 1000, etc.) until the divisor is a whole number. Then, divide as you would with whole numbers, placing the decimal point in the quotient above the *new* decimal point in the dividend. This strategy transforms the division problem into an equivalent one that is easier to solve because you are dividing...