NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - Problems and Solutions
Question 162

Question. 162

Out of 1,80,000 Vitamin A tablets, 18,734 distributed. Find remaining.

Answer:

Remaining = 1,61,266

Detailed Answer with Explanation:

Goal: Subtract the distributed tablets from the total.

Step 1: Write the numbers.

Total tablets:

\[ 1,80,000 \]

Distributed tablets:

\[ 18,734 \]

So we need:

\[ \text{Remaining} = 1,80,000 - 18,734 \]

Step 2: Regroup to handle zeros.

There are many zeros in 1,80,000. We borrow from the left to make subtraction easy.

\[ 1,80,000 = 1,70,000 + 10,000 \]

\[ 10,000 = 9,000 + 1,000 \]

\[ 1,000 = 900 + 100 \]

\[ 100 = 90 + 10 \]

After regrouping, the digits act like:

\[ 1\;\text{lakh},\;7\;\text{ten-thousands},\;9\;\text{thousands},\;9\;\text{hundreds},\;9\;\text{tens},\;10\;\text{ones} \]

Step 3: Subtract place by place (right to left).

Ones:

\[ 10 - 4 = 6 \]

Tens:

\[ 9 - 3 = 6 \]

Hundreds:

\[ 9 - 7 = 2 \]

Thousands:

\[ 9 - 8 = 1 \]

Ten-thousands:

\[ 7 - 1 = 6 \]

Lakhs:

\[ 1 - 0 = 1 \]

Step 4: Write the answer.

\[ 1,80,000 - 18,734 = 1,61,266 \]

Remaining tablets = 1,61,266.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – Problems and Solutions | Detailed Answers