Divide decimals by whole numbers: word problems

Learning Objectives Identify the dividend (decimal) and the divisor (whole number) from a real-world scenario. Set up a long division problem correctly based on the context of a word problem. Accurately place the decimal point in the quotient when dividing a decimal by a whole number. Solve multi-step word problems that require dividing a decimal by a whole number. Annex zeros to the dividend to continue division and avoid remainders. By the end of a this lesson, students will be able to interpret the quotient in the context of the problem, including the correct units (e.g., dollars, meters, kilograms). Check the reasonableness of their answer using estimation. Ever split a bill with friends and wanted to know the exact cost per person? 💸 Let's explore how dividing d...

TermDefinitionExample DividendThe number that is being divided. In these word problems, it's typically the total decimal amount you are starting with.If a rope that is 12.5 meters long is cut into 5 pieces, the dividend is 12.5. DivisorThe number you are dividing by. In these word problems, it is always the whole number representing the number of equal groups or shares.If a rope that is 12.5 meters long is cut into 5 pieces, the divisor is 5. QuotientThe answer to a division problem. It represents the size of each equal group.12.5 ÷ 5 = 2.5. The quotient is 2.5, meaning each piece of rope is 2.5 meters long. Decimal Point PlacementThe critical step of placing the decimal point in the quotient directly above its position in the dividend before you begin dividing.When setting up 4.8 ÷...

The Decimal Placement Rule Place the decimal point in the quotient directly above the decimal point in the dividend. This is the most important rule. Do this first when you set up your long division problem. It ensures that the place value of your answer is correct. The Division Algorithm (for checking work) Dividend = (Divisor × Quotient) After you find your quotient, you can check your work by multiplying it by the divisor. The result should be your original dividend. The Annexing Zeros Rule a.bc = a.bc0 = a.bc00 If your division results in a remainder, you can add one or more zeros to the end of the dividend after the decimal point. This does not change the dividend's value but allows you to continue dividing to get a precise answer.