Question

t report your answers using the correct

1. $(2.342 \times 10^{-8})(5.713 \times 10^{-4})$
2. $\frac{4.0 \times 10^{-6}}{8.0 \times 10^{-3}}$
3. $\frac{(0.1 \times 10^{4})(0.102 \times 10^{-6})}{0.8000 \times 10^{4}}$
4. $\frac{43,000,000(0.095)}{63,000}$
5. $\frac{40}{0.03}$

Explanation:

Step1: Multiply coefficients, add exponents

$(2.342 \times 5.713) \times 10^{-8 + (-4)}$
$13.379846 \times 10^{-12}$

Step2: Convert to proper scientific notation

$1.338 \times 10^{-11}$

---

Step1: Divide coefficients, subtract exponents

$\frac{4.0}{8.0} \times 10^{-6 - (-3)}$
$0.5 \times 10^{-3}$

Step2: Convert to proper scientific notation

$5.0 \times 10^{-4}$

---

Step1: Multiply numerator terms

$(0.1 \times 0.102) \times 10^{4 + (-6)} = 0.0102 \times 10^{-2}$

Step2: Divide by denominator

$\frac{0.0102}{0.8000} \times 10^{-2 - 4}$
$0.01275 \times 10^{-6}$

Step3: Convert to proper scientific notation

$1.275 \times 10^{-8}$

---

Step1: Convert to scientific notation

$\frac{(4.3 \times 10^7)(9.5 \times 10^{-2})}{6.3 \times 10^4}$

Step2: Multiply numerator terms

$(4.3 \times 9.5) \times 10^{7 + (-2)} = 40.85 \times 10^5$

Step3: Divide by denominator

$\frac{40.85}{6.3} \times 10^{5 - 4}$
$6.484 \times 10^{1}$

Step4: Simplify

$64.84$

Answer:

1. $\boldsymbol{1.338 \times 10^{-11}}$
2. $\boldsymbol{5.0 \times 10^{-4}}$
3. $\boldsymbol{1.275 \times 10^{-8}}$
4. $\boldsymbol{64.84}$