Class 7 Mathematics — Chapter 4: ANOTHER PEEK BEYOND THE POINT
Chapter 4: ANOTHER PEEK BEYOND THE POINT is a chapter in Class 7 Mathematics (Ganita Prakash Part 2), part of the CBSE NCERT curriculum followed by over 25 million students across India. This chapter covers 8 topics including Decimal Place Value and Fractional Equivalence, Division by Powers of 10, Multiplication of Decimals by Converting to Fractions. BrainWeave provides free AI-powered explanations — by voice or text, in Hindi or English — with no signup required.
What you'll learn
-
▸Decimal Place Value and Fractional Equivalenceplace valuetenthshundredthsdecimal fractionconvert
-
▸Division by Powers of 10Core conceptdivide by 10divide by 100move decimalpowers of tendivisor
-
▸Multiplication of Decimals by Converting to Fractionsconvert to fractionmultiply fractionsnumeratordenominatorproduct
-
▸Rule for Placing the Decimal Point in a ProductCore conceptdecimal placesdecimal pointproduct rulesum of decimal placesmultiply
-
▸Magnitude of Decimal Productsproduct sizegreater than 1less than 1magnitudecomparison
-
▸Solving Word Problems with Decimal MultiplicationCore conceptword problemsapplicationcostareaprofit
-
▸Multiplication by Powers of 10Core conceptmultiply by 10multiply by 100move decimalpowers of tenproduct
-
▸Division of a Decimal by a Whole NumberCore conceptdivide decimalwhole number divisorreciprocalquotientfraction method
Chapter Summary
Understanding that decimals extend the place value system to represent fractions with denominators of 10, 100, 1000, etc. This includes converting quantities and fractions into their decimal form.
Applying the shortcut of moving the decimal point to the left to divide any number by 10, 100, or 1000. The number of places the decimal moves corresponds to the number of zeros in the divisor.
Understanding the fundamental process of decimal multiplication by converting decimal numbers into their equivalent fractions, multiplying the fractions, and then converting the resulting fraction back into a decimal.
Applying the procedural rule for multiplying decimals: multiply the numbers as if they were whole numbers, then count the total number of decimal places in the original numbers to correctly place the decimal point in the final product.
Analyzing how the size of a product relates to the numbers being multiplied. This includes understanding when the product is larger than both factors (both > 1), smaller than both factors (both between 0 and 1), or in between the factors.
Applying the skill of decimal multiplication to solve practical, real-world problems involving quantities like money, distance, area, and weight.
Applying the shortcut of moving the decimal point to the right to multiply any decimal number by 10, 100, or 1000.
Understanding the initial concept of decimal division by dividing a decimal by a whole number. This is introduced by converting the decimal to a fraction and multiplying by the reciprocal of the divisor.
Practice Questions from this Chapter
Tap "Get Solution" on any question to ask our AI tutor.
- Explain decimal place values simply. Get Solution →
- Show decimal multiplication in action. Get Solution →
- Where are decimals used daily? Get Solution →
- In the decimal number 27.53, what place value does the digit '5' hold? Get Solution →
- According to the step-by-step rule for division on page 2, what is the result of 123 ÷ 10? Get Solution →
- What is the total cost of 5 pens if one pen costs ₹9.5, as calculated in Example 1? Get Solution →
- What is the area of the rectangle shown in Example 4 with sides 5.7 cm and 13.3 cm? Get Solution →
- According to the rule explained on page 5, how many decimal places will the product of 5.96 × 24.8 have? Get Solution →
Did you know?
- 💡 The decimal point was popularized by a Scottish mathematician over 400 years ago.
- 💡 The decimal place value system originated in ancient India thousands of years ago.
- 💡 The metric system uses decimals because it is entirely based on powers of ten.
- 💡 Ancient Egyptians mostly used unit fractions, not decimals or common fractions.
- 💡 Some advanced scientific models use decimals with hundreds of digits for precision.
Frequently Asked Questions
How many topics are covered in this chapter?
This chapter covers 8 key topics: Decimal Place Value and Fractional Equivalence, Division by Powers of 10, Multiplication of Decimals by Converting to Fractions, Rule for Placing the Decimal Point in a Product, Magnitude of Decimal Products, and more. The BrainWeave AI tutor explains each one with examples.
Is Chapter 4: ANOTHER PEEK BEYOND THE POINT important for board exams?
Class 7 is a foundation year. Mastering this chapter now will help you build strong fundamentals for the higher classes.
Can I get NCERT solutions for this chapter in Hindi?
Yes. BrainWeave's AI tutor supports Hindi, English, and Hinglish for both voice and text chat. Just ask your question in your preferred language.
Is BrainWeave free for Class 7?
Yes. BrainWeave's free Spark plan gives generous daily messages — enough for regular homework. Premium features unlock when you bring your own free Google Gemini API key.
Can I use voice chat for this chapter?
Absolutely. Tap the mic, ask any question about Chapter 4: ANOTHER PEEK BEYOND THE POINT, and the AI tutor will explain it back in voice and text.
How is BrainWeave better than static NCERT solutions sites?
Static solution sites give the same answer to everyone. BrainWeave adapts to your question — ask "explain like I'm 12" or "give a real-world example" and get a personalized response. Voice mode and Hindi support work seamlessly.
Related Chapters
Ask Any Question About Chapter 4: ANOTHER PEEK BEYOND THE POINT
Voice or text. Hindi or English. Free to start. No signup required.
Start Now →