The average distance from Earth to Pluto is about 5,900,000,000 meters. Convert 5,900,000,000 to scientific notation.
\(5.9 \times 10^9\)
Correct! \(5,900,000,000 = 5.9 \times 10^9\)
\(59 \times 10^8\)
Your targeting system glitched, try again. While \(59 \times 10^8 = 5,900,000,000\text{,}\) the coefficient must be greater than or equal to 1 and less than 10 for scientific notation.
\(5.9 \times 10^{-9}\)
Your enchanted click missed the mark, try again. The decimal moved left, so the power should be positive.
\(5.9 \times 10^8\)
Your digital blade missed the mark, try again. Try counting the decimal places again.
Checkpoint1.3.2.
The distance from Earth to the nearest star (Proxima Centauri) is about 40,200,000,000,000 meters. Convert 40,200,000,000,000 to scientific notation.
Your targeting system glitched, try again. While \(402 \times 10^{11} = 40,200,000,000,000\text{,}\) the coefficient must be greater than or equal to 1 and less than 10 for scientific notation.
\(4.02 \times 10^{-13}\)
Your enchanted click missed the mark, try again. The decimal moved left, so the power should be positive.
\(4.02 \times 10^{11}\)
Your digital blade missed the mark, try again. Try counting the decimal places again.
Checkpoint1.3.3.
The distance from the Milky Way to the Andromeda Galaxy is about 2,500,000,000,000,000,000 meters. Convert 2,500,000,000,000,000,000 to scientific notation.
Your targeting system glitched, try again. While \(25 \times 10^{17} = 2.5 \times 10^{18}\text{,}\) the coefficient must be greater than or equal to 1 and less than 10 for scientific notation.
\(2.5 \times 10^{-18}\)
Your enchanted click missed the mark, try again. The decimal moved left, so the power should be positive.
\(2.5 \times 10^{17}\)
Your digital blade missed the mark, try again. Try counting the decimal places again.
Checkpoint1.3.4.
The diameter of a hydrogen atom is about \(5.3 \times 10^{-11}\) meters. Convert \(5.3 \times 10^{-11}\) to standard decimal notation.
0.000000000053
Correct! \(5.3 \times 10^{-11} = 0.000000000053\)
0.0000000053
Your targeting system glitched, try again. You only moved the decimal 9 places instead of 11
530000000000
Your enchanted click missed the mark, try again. Recall that if the exponent is negative the decimal should move to the left.
0.000000000000053
Your digital blade missed the mark, try again. That’s one place too far! The exponent is -11, not -13.
Checkpoint1.3.5.
The Planck length is approximately \(1.6 \times 10^{-35}\) meters. Convert \(1.6 \times 10^{-35}\) to standard decimal notation.
Your targeting system glitched, try again. You only moved the decimal 25 places instead of 35.
160000000000000000000000000000000000
Your enchanted click missed the mark, try again. Recall that if the exponent is negative the decimal should move to the left.
0.0000000000000000000000000000000000000000016
Your digital blade missed the mark, try again. That’s 42 places, we see what you did there. Try again.
Checkpoint1.3.6.
About how many orders of magnitude larger is the distance from Milky Way to Andromeda Galaxy compared to the distanced from Earth to Proxima Centauri? Use questions Checkpoint 1.3.2 and Checkpoint 1.3.3 to help.
5
Correct! (18-13) = 5 orders of magnitude.
31
Your targeting system glitched, try again. You added the exponents, try subtracting.
1.38
Your enchanted click missed the mark, try again. You divided the exponents, try subtracting.
0.722
Your digital blade missed the mark, try again. You divided the exponents, try subtracting.
