Skip to content

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.

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
7Hundred thousands
0Ten thousands
7Thousands
0Hundreds
0Tens
0Ones
The two 7s are separated by two place-value columns. Their contributions differ by a factor of 100.
  1. The first 7 represents 700,000.
  2. The second 7 represents 7,000.
  3. 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.

1. A Lakh Varieties! See how to teach this step →

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.
2. Getting a Feel of Large Numbers See how to teach this step →

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.
3. Reading and Writing Numbers See how to teach this step →

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.
5. Of Crores and Crores! See how to teach this step →

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.
6. Exact and Approximate Values — Nearest Neighbours See how to teach this step →

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.
7. A Multiplication Shortcut See how to teach this step →

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.
8. Patterns in Products See how to teach this step →

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