Class 7 Maths Part 1 Chapter 3 A Peek Beyond the Point extends place value past the decimal point. These class 7 maths handwritten notes chapter 3 A Peek Beyond the Point follow the 2026-27 NCERT and cover tenths, hundredths, measurement units and decimal addition.

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Yash Chandra
Class 7 Maths Notes Contributor
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20+ pages | Decimal Place Value + Quick Recall | Exam-focused notes · Class 7 Maths Chapter 3, 2026-27 NCERT
  • Decimal chart boxed: tenths and hundredths added to the place value chart
  • What the notes cover: the need for smaller units, tenths, hundredths, units of measurement, comparing and adding decimals
  • Best for: the compare-the-decimals question and the measurement conversion question

Open the PDF below for the complete class 7 maths handwritten notes covering A Peek Beyond the Point from the first page to the last.

These handwritten notes are written by Maths teachers, mapped to the 2026-27 NCERT Ganita Prakash book, and checked against Class 7 school question papers.

Where Students Lose Marks in A Peek Beyond the Point

Decimals appear in measurement, in money and in data handling. The whole second half of the year uses them.

  • Comparing decimals is a guaranteed one-mark question
  • Addition and subtraction with unequal decimal places is a common trap
  • Measurement conversions come up in word problems
  • Part 2 Chapter 4 continues with decimal multiplication and division

Why Students Pick Collegedunia's A Peek Beyond the Point Handwritten Notes

Collegedunia has these class 7 maths handwritten notes written by teachers who set Class 7 papers. The place value chart is extended past the point, so the pattern stays visible.

  • Extended chart: hundreds to hundredths drawn as one continuous chart
  • Aligned sums: additions written with the decimal points lined up
  • Number line strip: decimals marked between 0 and 1
  • Colour-coded sub-headings: sub-topics in red so each section is easy to reach

Test Yourself on A Peek Beyond the Point

Five decimal questions. Tap each to check your answer.

Which is greater, 0.5 or 0.45?

(a) 0.45 (b) 0.5 (c) they are equal (d) cannot say

Answer: (b) 0.5, because 5 tenths is more than 4 tenths

One tenth is written as

(a) 0.01 (b) 0.1 (c) 1.0 (d) 10

Answer: (b) 0.1

In 7.05, the digit 5 is in the

(a) tenths place (b) hundredths place (c) ones place (d) tens place

Answer: (b) hundredths place

What is 2.5 + 0.75?

(a) 3.25 (b) 2.75 (c) 3.00 (d) 10.0

Answer: (a) 3.25, after lining up the decimal points

0.5 and 0.50 are

(a) different (b) equivalent decimals (c) both zero (d) not comparable

Answer: (b) equivalent decimals

Topics Written Out in the A Peek Beyond the Point Notes

The chapter starts with two screws that look identical but are slightly different lengths. That is the reason smaller units are needed.

  • Why smaller units are needed
  • A tenth part and how it is written
  • A hundredth part
  • Decimal place value
  • Units of measurement and decimals
  • Locating decimals on a number line
  • Comparing decimals
  • Addition of decimals
  • Subtraction of decimals
  • More on the decimal system
Concept: The decimal point does not break the place value system. It just marks where the whole numbers end and the parts of one begin.

A Peek Beyond the Point Sub-topic Priority List for CBSE Class 7 Maths

Comparing decimals and adding them carry the most marks. Measurement conversions are close behind.

Sub-topicWeightageHow often asked
Comparing and ordering decimalsHighasked often
Addition and subtraction of decimalsHighasked often
Decimal place valueHighasked often
Units of measurementMediumasked sometimes
Locating decimals on a number lineMediumasked sometimes
Tenths and hundredths as fractionsLowasked rarely

A Peek Beyond the Point in the Last Hour Before the Exam

The final-minutes card for decimals.

Read only this in the last hour:
  • The decimal point separates whole parts from parts of one
  • 0.1 is one tenth and 0.01 is one hundredth
  • Compare place by place from the left
  • 0.5 is greater than 0.45
  • Line up the decimal points before adding or subtracting

Hand-drawn Sketches Inside the A Peek Beyond the Point Notes

Decimals make sense visually before they make sense in symbols.

Figure drawn by handWhat it shows
Extended place value charthundreds down to hundredths in one strip
Tenths grida square divided into ten strips with one shaded
Hundredths grida square divided into a hundred small squares
Number line 0 to 1tenths marked with some hundredths between them
Aligned additiontwo decimals stacked with the points lined up

Words and Ideas the A Peek Beyond the Point Notes Box Off

These words are used in the question stems, so learn them precisely.

Term / IdeaWhat it means
Decimala number written with a point separating whole parts from smaller parts
Tenthone part out of ten, written as 0.1
Hundredthone part out of a hundred, written as 0.01
Decimal pointthe dot that separates the whole number from the decimal part
Place valuethe value of a digit because of its position
Equivalent decimalsdecimals that have the same value, such as 0.5 and 0.50
Number linea straight line on which numbers are marked in order
Remember: Line up the decimal points before you add or subtract. Everything else follows from that one habit.
Watch Out: 0.5 is larger than 0.45, even though 45 looks bigger than 5. Compare place by place, starting from the left.

Best Way to Read the A Peek Beyond the Point Handwritten Notes

A short plan works better than one long sitting with the class 7 maths handwritten notes. Always line up the points. Write the sums on squared paper if it helps.

  • Extend the place value chart to hundredths from memory
  • Order five decimals from smallest to largest
  • Do ten additions with the decimal points aligned
  • Before the test, revise the extended chart and the comparison rule

Where to Go After the A Peek Beyond the Point Notes

Use the notes with the solved exercises and the Ganita Prakash chapter itself.

Chapter-wise Class 7 Maths Handwritten Notes

Ganita Prakash Part 1 has eight chapters and Part 2 has seven. Use the table to open the class 7 maths handwritten notes for any other chapter.

A Peek Beyond the Point Class 7 Maths Handwritten Notes FAQs

Ques. Where can I download the A Peek Beyond the Point Class 7 Maths Handwritten Notes PDF?

Ans. The PDF is available free on this page in both the normal and the HD version.

Ques. What does A Peek Beyond the Point cover?

Ans. It extends the place value system past the decimal point, covering tenths, hundredths, units of measurement, comparing decimals and adding and subtracting them.

Ques. How many pages is the Chapter 3 handwritten notes PDF?

Ans. It runs 20 pages and covers all eight sections of the chapter plus a quiz.

Ques. Which is bigger, 0.5 or 0.45?

Ans. 0.5 is bigger. Compare place by place from the left: 5 tenths is more than 4 tenths, so the rest of the digits do not matter.

Ques. How do you add two decimals with different numbers of decimal places?

Ans. Line up the decimal points one under the other, fill the shorter number with zeros at the end, then add as usual and put the point in the same column.