What power of 10 would make the following equation true? 3.75×10^?=0.0000375 (1 point)
-6
-5
7
5
6
-7
-5
Put the numbers in order from smallest to largest.(5 points)
3.24 x 10^-5
4.68 x 10^6
5.48 x 10^-2
8.34 x 10^6
1.2 x 10
1.2 x 10
3.24 x 10^-5
5.48 x 10^-2
4.68 x 10^6
8.34 x 10^6
The mass of a dust particle is approximately 7.5×10^−10 kilograms and the mass of an electron is 9.1×10^−3 kilograms. Which expression would you use to find out how many electrons you need to equal the mass of one dust particle?(1 point)
(9.1×10^−31)−(7.5×10^−10)
(9.1×10^−31)(7.5×10^−10)
(7.5×10^−10)(9.1×10^−31)
(9.1×10^−31)÷(7.5×10^−10)
(7.5×10^−10)÷(9.1×10^−31)
(7.5×10^−10)÷(9.1×10^−31)
The mass of a dust particle is approximately 7.5×10^−10 kilograms and the mass of an electron is 9.1×10^−31 kilograms. How many electrons does it take to equal the mass of a dust particle?(1 point)
1.2×10^21
6.8×10^−40
6.8×10^−41
8.2×10^−20
8.2×10^20
1.2×10^−21
To find how many electrons it takes to equal the mass of a dust particle, we need to divide the mass of the dust particle by the mass of an electron:
(7.5×10^−10) / (9.1×10^−31)
Multiplying the numerator by 10^31 and the denominator by 10^10, we get:
(7.5 / 9.1) x 10^(31-10)
Now, dividing 7.5 by 9.1 gives:
0.824175824 x 10^21
Rounded to the nearest whole number, this is approximately:
0.82 x 10^21
Therefore, the correct answer is:
8.2×10^20
Simplify the following expression to Scientific Notation: (4×10^−9)^5 (1 point)
20×10^−4
4×10^−20
1.024×10^−42
1.024×10^−48
4×10^−45
2.0×10^−3
2.0×10^−46
To simplify (4×10^−9)^5, you would need to raise both the coefficient and the exponent to the power outside the parentheses:
(4^5) x (10^(-9 * 5))
= 1024 x 10^(-45)
Therefore, the expression simplifies to 1.024×10^(-42), so the correct answer is 1.024×10^(-42).
What is the value of the expression simplified in Standard Notation: (3.2×10^−2)(4.2×10^6)/(5.2×10^5) (1 point)
0.0026
0.26
2.6
0.00026