Review: Another Peek Beyond The Point — Ganita Prakash: Class 7 Mathematics, Part 2 (NCERT)

What You Can Do Now

Tick what you can now do with decimals.

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After this chapter, I can…

Chapter in One Card

The four big rules of this chapter.

The chapter in four rules (Textbook p. 95)

Multiply: multiply as counting numbers. Decimal places in the product = total places in both numbers.

Divide: long division, regrouping past the Ones into Tenths, Hundredths, … Write the point when Ones become Tenths.

Decimal divisor: multiply both numbers by 10, 100, … to make the divisor whole.

Never-ending: some divisions never end, because a remainder keeps coming back.

Key Terms From This Chapter

Flip through the chapter's rules.

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Questions From the Whole Chapter

Eight questions from quick recall to harder reasoning.

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$0.6 \times 0.3 = ?$

Step-by-Step Challenge Problems

Three mixed problems with guided steps.

Solve each problem step by step

A bus covers 157.5 km in 3.5 hours. What is its average speed?
A notebook is 0.65 cm thick. How tall is a stack of 40 notebooks, in mm?
2 litres of lassi is shared equally among 8 friends. How many millilitres does each get?

Speed: operation, working and answer

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Distance ÷ time; make the divisor whole.

Stack: working and answer in mm

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Multiply, then change units.

Lassi: working and answer in ml

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Divide, then change units.

Solve It Yourself

Four problems straight from the chapter, no hints.

Solve each problem

$0.432 \times 0.23$ (Textbook p. 73, Q2c)
$1.26 \div 8$ (p. 83, Q4c)
A regular polygon with 12 sides has a perimeter of 208.8 cm. How long is each side? (p. 87, Q7)
How many days are there in 1000 calendar years with the final leap-year rule? (p. 92)

0.432 × 0.23

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Count the places.

1.26 ÷ 8

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Long division.

Side length

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Include the unit.

Days in 1000 years

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Count each kind of year.

Talk it through: decimal doubts

Stuck on where the point goes? Ask here.

Learners can ask follow-up questions and keep the thread going.

Ask me anything from this chapter: why decimal places add up when you multiply, when to write the point in long division, why multiplying both numbers by 10 keeps a quotient the same, why 1 ÷ 7 never ends, or how the leap-year rules work. Tell me which question you're on and what you tried. I'll help you find the next step.

almost 3 years ago