Calculate 0.5 divided by 0.0001 using scientific notation.

April 1, 2026Mathematics

ScanSolve AI Answer

April 1, 2026

Answer

5 \times 10^{-1}$$

The solution shows the calculation of $\frac{0.5}{0.0001}$ using scientific notation.

Step 1: Convert the numbers to scientific notation. $0.5 = 5 \times 10^{-1}$ $0.0001 = 1 \times 10^{-4}$

Step 2: Rewrite the division using scientific notation. $\frac{0.5}{0.0001} = \frac{5 \times 10^{-1}}{1 \times 10^{-4}}$

Step 3: Separate the numerical parts and the powers of 10. $\frac{5}{1} \times \frac{10^{-1}}{10^{-4}}$

Step 4: Simplify the numerical part and use the exponent rule $\frac{a^m}{a^n} = a^{m-n}$ for the powers of 10. $5 \times 10^{-1 - (-4)}$ $5 \times 10^{-1 + 4}$ $5 \times 10^{3}$

Step 5: Convert the scientific notation back to standard form. $5 \times 10^{3} = 5 \times 1000 = 5000$

The final result of the calculation is 5000. The units "J" and "Kg" shown at the bottom are not relevant to this calculation unless it's part of a larger problem where these units apply to other quantities.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

Qएक स्कूल के अनुपस्थित छात्रों की संख्या प्रतिदिन 147 दिनों तक दर्ज की गई थी तथा प्राप्त आँकड़े निम्न…QIf y = sinh(ksin⁻¹x), show that (1-x²)y'' - xy' - k²y = 0 Qनिम्नलिखित संचयी बारम्बारता बंंटन से विद्यार्थियों के अंकों का समान्तर माध्य ज्ञात कीजिए—Qनिम्नलिखित बारम्बारता सारणी में छात्रों के प्राप्तांकों का समान्तर माध्य 30 है, अज्ञात बारम्बारताएँ…Qनिम्न आँकड़ों का समान्तर माध्य पद-विच्छलन विधि द्वारा ज्ञात कीजिए—

See all Mathematics questions →

Still have questions?

Quick Answer

The solution shows the calculation of (0.5)/(0.0001) using scientific notation. Step 1: Convert the numbers to scientific notation.

Asked on April 1, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 1, 2026

The solution shows the calculation of (0.5)/(0.0001) using scientific notation. Step 1: Convert the numbers to scientific notation. 0.5 = 5 × 10^-1 0.0001 = 1 × 10^-4 Step 2: Rewrite the division using scientific notation. (0.5)/(0.0001) = 5 × 10^-11 × 10^-4 Step 3: Separate the numerical parts and the powers of 10. (5)/(1) × 10^-110^-4 Step 4: Simplify the numerical part and use the exponent rule (a^m)/(a^n) = a^m-n for the powers of 10. 5 × 10^-1 - (-4) 5 × 10^-1 + 4 5 × 10^3 Step 5: Convert the scientific notation back to standard form. 5 × 10^3 = 5 × 1000 = 5000 The final result of the calculation is 5000. The units "J" and "Kg" shown at the bottom are not relevant to this calculation unless it's part of a larger problem where these units apply to other quantities.