Using a calculator, work out $$ \left(4.57 imes 10^{-10} ight)-\left(3.78 imes 10^{-11} ight) $$ Give your answer in standard form.

Question

Using a calculator, work out $$ \left(4.57 	imes 10^{-10}ight)-\left(3.78 	imes 10^{-11}ight) $$ Give your answer in standard form.

UpStudy AI · Accepted Answer

To solve the expression:

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

**Step 1: Express both numbers with the same exponent**

It's easier to subtract the numbers if they have the same exponent. Convert $$3.78 \times 10^{-11}$$ to $$10^{-10}$$:

$$
3.78 \times 10^{-11} = 0.378 \times 10^{-10}
$$

**Step 2: Subtract the coefficients**

$$
4.57 \times 10^{-10} - 0.378 \times 10^{-10} = (4.57 - 0.378) \times 10^{-10} = 4.192 \times 10^{-10}
$$

**Final Answer in Standard Form:**

$$
4.192 \times 10^{-10}
$$
The result is $$4.192 \times 10^{-10}$$.

Using a calculator, work out \( \left(4.57 \times 10^{-10}\right)-\left(3.78 \times 10^{-11}\right) \) Give your answer in standard form.