NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 1: Number System - True or False Questions
Question 44

Question. 44

\(532235=5\times100000+3\times10000+2\times1000+2\times100+3\times10+5\).

Answer:

true

Detailed Answer with Explanation:

Goal: Check if the expanded form matches the number 532235.

Step 1: Write place values (left to right).

Hundred-thousands, ten-thousands, thousands, hundreds, tens, ones.

Step 2: Match each digit with its place value.

Digit 5 in hundred-thousands place: \(5 \times 100000\)

Digit 3 in ten-thousands place: \(3 \times 10000\)

Digit 2 in thousands place: \(2 \times 1000\)

Digit 2 in hundreds place: \(2 \times 100\)

Digit 3 in tens place: \(3 \times 10\)

Digit 5 in ones place: \(5 \times 1\)

Step 3: Write the expanded form by adding them.

\(5\times100000 + 3\times10000 + 2\times1000 + 2\times100 + 3\times10 + 5\)

Step 4: Calculate each part.

\(5\times100000 = 500000\)

\(3\times10000 = 30000\)

\(2\times1000 = 2000\)

\(2\times100 = 200\)

\(3\times10 = 30\)

\(5\times1 = 5\)

Step 5: Add step by step.

\(500000 + 30000 = 530000\)

\(530000 + 2000 = 532000\)

\(532000 + 200 = 532200\)

\(532200 + 30 = 532230\)

\(532230 + 5 = 532235\)

Conclusion: The sum is \(532235\). The expanded form is correct, so the statement is True.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 1: Number System – True or False Questions | Detailed Answers