Question
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निम्नलिखित संख्याओं में से प्रत्येक के घन के इकाई के अंक ज्ञात कीजिए - Find the one's digit/ Unit digit of the cube each of the following number \( \begin{array}{ll}\text { (i) } 3331 & \text { (ii) } 1027\end{array} \)

Ask by Lee Hardy. in India
Mar 10,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The unit digit of \(3331^3\) is 1, and the unit digit of \(1027^3\) is 3.

Solution

**Step 1: Identify the unit digit of the number.** - For \(3331\), the unit digit is \(1\). - For \(1027\), the unit digit is \(7\). **Step 2: Cube the unit digit and determine the new unit digit.** - **For \(3331\):** Cube the unit digit: \[ 1^3 = 1 \] Thus, the unit digit of \(3331^3\) is \(1\). - **For \(1027\):** Cube the unit digit: \[ 7^3 = 343 \] The unit digit of \(343\) is \(3\). Thus, the unit digit of \(1027^3\) is \(3\). **Final Answer:** - The unit digit of \(3331^3\) is \(1\). - The unit digit of \(1027^3\) is \(3\).

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The Deep Dive

3331 के घन का इकाई का अंक ज्ञात करने के लिए, हमें केवल 1 (3331 के इकाई का अंक) का घन निकालना होगा। \( 1^3 = 1 \), इसलिए 3331 के घन का इकाई का अंक 1 है। 1027 के लिए, हम 7 (1027 के इकाई का अंक) का घन निकालते हैं। \( 7^3 = 343 \), जिसका इकाई का अंक 3 है। इसलिए 1027 के घन का इकाई का अंक 3 है।

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