Question

Use a calculator to work out

3.56×10⁻⁵ x 5.87×10¹²/4.03×10³
Give your answer in standard form to 3 significant figures.

Answer 1

To solve the calculation, multiply the numerators, subtract the exponents when dividing or multiplying powers of 10, and divide by the denominator. The final result should be expressed in scientific notation with three significant figures, resulting in 5.18×10⁴.

Step-by-step explanation:

To calculate 3.56×10⁻⁵ × 5.87×10¹² divided by 4.03×10³, we can follow these steps using a calculator while keeping track of significant figures:

1. Multiply 3.56 by 5.87.
2. Combine the exponents of 10 by subtracting the exponent of the divisor (10³) from the sum of the exponents of the numerators (10⁻⁵ + 10¹²).
3. Divide the product from step 1 by 4.03.
4. Ensure the final result is in scientific notation with three significant figures.

Let's perform the calculation:

• 3.56 × 5.87 = 20.8912
• –⁵ + 12 = 7 – 3 = 4
• (20.8912 × 10⁴) / 4.03 = 5.1787×10⁴
• The final result rounded to three significant figures is 5.18×10⁴.