Common misconceptions › Class 7 › Maths › A Peek Beyond the Point Class 7 Maths · Chapter 3 · NCERT (gegp103)
A Peek Beyond the Point: common misconceptions
See the tempting mistake students make in A Peek Beyond the Point, why it feels right at first glance, and a worked visual example that shows the right idea.
Worked visual “If your child says…” (8) Teach & practice The tempting mistake & worked visual Which decimal is larger? Wrong
0.35 is greater than 0.4 because 35 is greater than 4.
Why it feels right. I compare the digits after the point as whole numbers.
Right
Compare tenths with tenths and hundredths with hundredths.
Worked example
Both grids have 100 equal squares. The grid for 0.40 has five more shaded squares than the grid for 0.35. Write 0.4 as 0.40. On a hundred-square, 40 squares cover more than 35 squares. If your child says… (8 concept checks in this chapter)
As you work through A Peek Beyond the Point , listen for these everyday misunderstandings and use the prompt alongside each one.
If your child says…
“I only count the three tenths left over.”
Ask together How many tenths cover the length before your leftover part? What’s true The complete unit contributes another ten tenths. If your child says…
“Hundredths are bigger because a hundred is bigger than ten.”
Ask together How many little squares fit inside the shaded tenth? What’s true Dividing the same whole into more equal pieces makes each piece smaller. If your child says…
“I can leave out the zero and write 1.5.”
Ask together Without the zero, which heading would the five sit under? What’s true Removing this zero moves five from hundredths into tenths. If your child says…
“Twelve tenths is 0.12.”
Ask together After ten tenths fill a whole, how many tenths remain? What’s true Twelve tenths exceed a whole, so the whole-number part cannot be zero. If your child says…
“Every unit change moves the point one place.”
Ask together How many centimetres fill this whole metre? What’s true The conversion depends on how many smaller units fill the larger unit. If your child says…
“0.50 must be different because it has another digit.”
Ask together Where do five tenths and fifty hundredths land on the tape? What’s true The five still counts tenths, and the final zero adds no hundredths. If your child says…
“Five wholes and twelve tenths make 5.12.”
Ask together How many of those twelve tenths can become another whole? What’s true Twelve tenths contain another whole and two remaining tenths. If your child says…
“4.5 hours after noon means five minutes past four.”
Ask together How many minutes did the half-turn cover? What’s true Five tenths of an hour is half an hour, which contains thirty minutes. Use this chapter three ways Previous chapter Arithmetic Expressions Next chapter Expressions Using Letter-numbers
In the app, your child answers a short check-in with confidence taps, and you see which of these misunderstandings showed up—and which ones are gone.
Start free