Common misconceptions › Class 7 › Maths › Large Numbers Around Us Class 7 Maths · Chapter 1 · NCERT (gegp101)
Large Numbers Around Us: common misconceptions
See the tempting mistake students make in Large Numbers Around Us, 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 Can the same digit have different values? Wrong
The two 7s in 707,000 are worth the same.
Why it feels right. They have the same symbol.
Right
Place value depends on position.
Worked example
707,000
7 Hundred thousands
0 Ten thousands
7 Thousands
0 Hundreds
0 Tens
0 Ones
The two 7s are separated by two place-value columns. Their contributions differ by a factor of 100. The first 7 represents 700,000. The second 7 represents 7,000. Together they make 707,000. If your child says… (8 concept checks in this chapter)
As you work through Large Numbers Around Us , listen for these everyday misunderstandings and use the prompt alongside each one.
If your child says…
“One lakh needs six zeroes.”
Ask together After counting the 1, how many places remain? What’s true The six digits include the leading 1. If your child says…
“Ten centimetres longer means ten times as long.”
Ask together How many shorter strips fit along the longer strip? What’s true A difference measures the extra length; division counts repeats. If your child says…
“Every comma separates three digits.”
Ask together After the last three digits, how many places make the thousands group? What’s true Indian grouping uses three digits at the right, then two per group. If your child says…
“I can read the press count from the hundreds digit.”
Ask together How many hundreds are inside the thousand? What’s true The thousands also contain hundreds. If your child says…
“A crore equals a million.”
Ask together Which name sits beside one crore on the ladder? What’s true One crore equals ten million. If your child says…
“Rounding means changing the last digits to zeroes.”
Ask together Which gap is smaller: 7,000 or 3,000? What’s true Compare the gaps to neighbouring multiples of the requested size. If your child says…
“I halve twelve and stop at six.”
Ask together What operation is still waiting beside the six? What’s true The six still needs multiplying by ten. If your child says…
“Two two-digit numbers always give four digits.”
Ask together How many digits does the included left endpoint have? What’s true The permitted range also includes three-digit answers. Use this chapter three ways Next chapter Arithmetic Expressions
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.
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