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The student recognises which number is the dividend in a worded problem, sets it out with labels, and answers with the right unit.
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The whole is always the dividend, whichever order the sentence names things in.
In every division word problem, there is a whole amount and there are equal parts. The whole amount is always the dividend (the number that gets divided).
Given a product and one of the two numbers, divide to find the other.
Sometimes a problem asks you to work backward: The product of two numbers is 7,695. If one of them is 57, find the other.
Multiplying and dividing undo each other. If two numbers multiply to give a product, dividing that product by one of the numbers will give you the other.
The pens and Raman's salary, laid out as the book lays them out.
Problem. The cost of five pens of the same type is ₹ 75. Find the cost of one pen.
Step 1. Lay out the given quantities with clear labels down the left side.
Cost of 5 pens = ₹ 75
Cost of 1 pen =
Answer. Therefore, the cost of one pen is ₹ 15.
Worksheet 6 items (a), (c) and (e), in ordered steps.
Problem A. The cost of nine cycles is ₹ 13,725. Find the cost of one cycle. Problem B. A book has 3,125 pages. Reema reads 25 pages daily. In how many days will she finish the whole book? Problem C. The product of two numbers is 7,695. If one of them is 57, find the other.
Select one to solve step-by-step below. Pay close attention to identifying the whole versus the parts, and remember your units (rupees, days, or no unit for the product)!
Identify the main numbers given in the problem.
State which value will be broken up or divided.
Write out the labeled layout as taught in the textbook examples.
Perform the division arithmetic to find the quotient.
Write the final number and its proper unit (rupees, days, etc.).
Multiply your answer (quotient) by the divisor to see if it matches the dividend.
The classes, the candles, the shelves and the ribbon.
(b) There are an equal number of students in each class. In 24 classes, there are 1,104 students. How many students are there in each class? (d) 11,424 candles are packed in 24 boxes. How many candles are there in each box? (f) 42 books can fit on one shelf of an almirah. How many shelves will 4,116 books require? (g) A 75 m ribbon is cut into 15 pieces of same length. What is the length of each piece?
Pick one problem from the list above and completely explain your solution using the labelled layout. Make sure your final answer includes the correct unit!
Provide the final numerical answer and its appropriate unit.
Write each quantity on its own line with a descriptive label on the left, then show the division.
Why is writing the unit so important in this specific problem?