Question

9 multiple choice 2 points what is the decimal form of 1.01×10^(-3)? 0.00101 0.000101 10,010 0.0101 10 multiple choice 2 points what is the equivalent form of 0.0000638 using scientific notation? 6.38×10^(-5) 63.8×10^(-6) 6.38×10^(5) 0.638×10^(-4) 11 multiple choice 2 points solve for x: 3/5(x + 2)=x - 4 23 8 15 13

Explanation:

Step1: Convert scientific - notation to decimal

For $1.01\times10^{-3}$, move the decimal point 3 places to the left. So $1.01\times10^{-3}=0.00101$.

Step2: Convert decimal to scientific - notation

For $0.0000638$, move the decimal point 5 places to the right to get a number between 1 and 10. So $0.0000638 = 6.38\times10^{-5}$.

Step3: Solve the equation

Start with $\frac{3}{5}(x + 2)=x - 4$.
First, distribute the $\frac{3}{5}$: $\frac{3}{5}x+\frac{3}{5}\times2=x - 4$, which is $\frac{3}{5}x+\frac{6}{5}=x - 4$.
Multiply through by 5 to clear the fraction: $3x + 6 = 5x-20$.
Subtract $3x$ from both sides: $6 = 5x-3x-20$, so $6 = 2x-20$.
Add 20 to both sides: $2x=6 + 20=26$.
Divide both sides by 2: $x = 13$.

Answer:

1. A. 0.00101
2. A. $6.38\times10^{-5}$
3. D. 13