d) $$ \left(5,6 imes 10^{5} ight)-\left(7,5 imes 10^{6} ight) $$

Question

d) $$ \left(5,6 	imes 10^{5}ight)-\left(7,5 	imes 10^{6}ight) $$

UpStudy AI · Accepted Answer

We start with the expression
$$
(5.6 \times 10^5) - (7.5 \times 10^6).
$$

**Step 1.** Write both numbers with the same power of 10. Since
$$
7.5 \times 10^6 = 7.5 \times 10 \times 10^5 = 75 \times 10^5,
$$
the expression becomes
$$
(5.6 \times 10^5) - (75 \times 10^5).
$$

**Step 2.** Factor out the common $$10^5$$:
$$
(5.6 - 75) \times 10^5.
$$

**Step 3.** Compute the subtraction inside the parentheses:
$$
5.6 - 75 = -69.4.
$$
Thus, we have
$$
-69.4 \times 10^5.
$$

**Step 4.** Normalize the result to standard scientific notation. Express $$-69.4$$ as $$-6.94 \times 10$$:
$$
-69.4 \times 10^5 = (-6.94 \times 10) \times 10^5 = -6.94 \times (10 \times 10^5) = -6.94 \times 10^6.
$$

The final answer is
$$
-6.94 \times 10^6.
$$
The result is $$-6.94 \times 10^6$$.

d) \( \left(5,6 \times 10^{5}\right)-\left(7,5 \times 10^{6}\right) \)

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