MathematicsClass 7Another Peek

Another Peek | Class 7 Mathematics Notes

By ConceptScroll Team · Published on 17 July 2026 · 3 min read

Another Peek – this guide gives you a concise, exam-ready overview of Another Peek from Class 7 Mathematics, written by ConceptScroll editors and reviewed against the latest NCERT textbook.

4.1 A Quick Recap of Decimals

Decimals are an extension of the Indian place value system to represent fractions whose denominators are powers of 10, such as 1/10, 1/100, 1/1000, etc. They allow us to express parts of a whole in a compact and precise way. For example, the decimal number 27.53 represents 2 tens, 7 units (ones), 5 tenths, and 3 hundredths. This means 27 whole units plus 53 hundredths. Decimals are closely related to fractions and can be converted back and forth. The chapter begins by recalling how decimals represent sums of decimal fractions and how these relate to place value. It also introduces the idea that operations like multiplication and division with decimals are natural extensions of operations with whole numbers. An activity is presented where one student says a fraction and the other converts it to its decimal equivalent, emphasizing denominators of 10, 100, 1000, etc. Another example involves converting weights of spices from grams to kilograms, expressing them both as fractions and decimals, reinforcing the connection between fractions and decimals. The section also introduces a simple rule for dividing any number by 10, 100, 1000, etc., by moving the decimal point to the left by as many places as there are zeros in the divisor. This is demonstrated through examples such as 123 ÷ 10 = 12.3 and 678 ÷ 1000 = 0.678. This foundational understanding sets the stage for learning decimal multiplication and division in the following sections.

📊 Diagram: Diagram showing the place value of digits in 27.53: 2 in tens place, 7 in units, 5 in tenths, 3 in hundredths. Another diagram shows Jonali buying spices with weights in grams and converting them to kilograms as decimals.

🧪 Activity: Jonali and Pallabi game: converting fractions with denominators 10, 100, 1000 into decimals.

🔗 Connection: This section lays the foundation for understanding decimal multiplication by explaining decimal representation and division by powers of ten, which is essential before learning multiplication of decimals.

Frequently asked questions

1. A 210 gram packet of peanut chikki costs ₹70.5, while a 110 gram packet of potato chips costs ₹33.25. Which is cheaper?

To find which is cheaper, calculate the cost per gram for each.

Cost per gram of peanut chikki = ₹70.5 / 210 g = ₹0.3357 per gram Cost per gram of potato chips = ₹33.25 / 110 g = ₹0.3023 per gram

Since ₹0.3023 < ₹0.3357, the potato chips are cheaper.

2. Write the decimal number at the arrow mark:

The decimal number at the arrow mark is 0.7.

3. Shyamala bought 3 kg bananas at ₹30/- per kg. She counted 35 bananas in all. She sells each banana for ₹5/-. How much profit does she make selling all the bananas?

Cost price of 3 kg bananas = 3 × ₹30 = ₹90 Number of bananas = 35 Selling price per banana = ₹5 Total selling price = 35 × ₹5 = ₹175 Profit = Selling price - Cost price = ₹175 - ₹90 = ₹85

Shyamala makes a profit of ₹85.

4. A teacher placed textbooks that are 2.5 cm thick on a bookshelf. The teacher wanted to place 80 textbooks on the shelf. The bookshelf is 160 cm long. How many books could be placed on the shelf? Was there any space left? If yes, how much?

Thickness of one textbook = 2.5 cm Number of textbooks teacher wants to place = 80 Total thickness needed = 80 × 2.5 = 200 cm Bookshelf length = 160 cm

Since 200 cm > 160 cm, all 80 books cannot be placed. Number of books that can be placed = 160 cm ÷ 2.5 cm = 64 books

Space left after placing 64 books = 160 cm - (64 × 2.5 cm) = 160 - 160 = 0 cm

So, 64 books can be placed and no space is left.