Divide larger numbers by 2-digit numbers

Learning Objectives Accurately perform long division with multi-digit dividends and 2-digit divisors. Apply long division to calculate the scale factor between two similar figures. Solve for an unknown side length in a similarity problem by dividing a larger number by a 2-digit number. Interpret the quotient and remainder in the context of geometric scaling. Verify the results of a division calculation by using the inverse operation of multiplication. Deconstruct word problems involving similarity into the necessary division steps. Identify and correct common errors in the long division process, such as place value misalignment. Ever wondered how architects scale a detailed blueprint for a skyscraper down to a single sheet of paper? 📐 It all comes down to precise division...

TermDefinitionExample DividendThe number that is being divided. In similarity, this is often the side length of the larger figure.In the problem 1728 ÷ 12, the dividend is 1728. DivisorThe number by which the dividend is being divided. In similarity, this is often the side length of the smaller figure.In the problem 1728 ÷ 12, the divisor is 12. QuotientThe result of a division. In similarity, the quotient of two corresponding side lengths is the scale factor.In the problem 1728 ÷ 12 = 144, the quotient is 144. RemainderThe amount 'left over' after a division that does not result in a whole number. In ideal similarity problems, the remainder is zero.In 125 ÷ 10, the quotient is 12 and the remainder is 5. Scale Factor (k)The constant ratio between the corresponding side lengths o...

The Division Algorithm Dividend = (Divisor × Quotient) + Remainder, or D = (d × q) + r This is the formal definition of division. It's used to verify your answer. If you multiply your quotient by the divisor and add the remainder, you should get the original dividend. Scale Factor Formula from Corresponding Sides k = \frac{\text{Image Side Length}}{\text{Pre-Image Side Length}} To find the scale factor (k) in similarity problems, you set up a ratio of corresponding sides. This ratio is a division problem, often involving a larger number divided by a 2-digit number.