Using a calcularor, wark out $$ \left(4.57 imes 10^{10} ight)-\left(3.78 imes 10^{11} ight) $$ Give your answer in standard torm

Question

Using a calcularor, wark out $$ \left(4.57 	imes 10^{10}ight)-\left(3.78 	imes 10^{11}ight) $$ Give your answer in standard torm

UpStudy AI · Accepted Answer

To calculate the expression:

$$
\left(4.57 \times 10^{10}\right) - \left(3.78 \times 10^{11}\right)
$$

Let's break it down step by step.

1. **Convert to the Same Exponent:**

To subtract the two numbers, it's easier if both are expressed with the same exponent. Let's use $$10^{11}$$:

$$
   4.57 \times 10^{10} = 0.457 \times 10^{11}
   $$

2. **Perform the Subtraction:**

$$
   0.457 \times 10^{11} - 3.78 \times 10^{11} = -3.323 \times 10^{11}
   $$

3. **Express in Standard (Scientific) Form:**

The result is already in standard scientific notation:

$$
   -3.323 \times 10^{11}
   $$

**Final Answer:**  
$$-3.323 \times 10^{11}$$
$$-3.323 \times 10^{11}$$

Using a calcularor, wark out \( \left(4.57 \times 10^{10}\right)-\left(3.78 \times 10^{11}\right) \) Give your answer in standard torm