Divide a decimal by 100 — place value check Compute 9.724 ÷ 100.

Introduction / Context:Dividing by 100 moves the decimal point two places to the left. This question reinforces place value and guards against common shifts in the wrong direction.

Given Data / Assumptions:

• Find 9.724 ÷ 100 exactly.
• No rounding; exact decimal required.

Concept / Approach:Dividing by 10, 100, 1000 shifts the decimal point left by 1, 2, 3 places respectively.

Step-by-Step Solution:9.724 ÷ 100 ⇒ shift the decimal two places left: 0.09724.

Verification / Alternative check:Compute 9.724 × 0.01 = 0.09724; same result because 1/100 = 0.01.

Why Other Options Are Wrong:972.4 and 9.724 correspond to multiplying by 100 or doing nothing; 0.9724 shifts one place only; “None of these” is incorrect since the exact value is listed.

Common Pitfalls:Moving the decimal to the right; forgetting that division by 100 reduces the magnitude.

Final Answer:0.09724