What is the order of these numbers from LEAST to GREATEST?
2.7 𝑥 10^8, 2.3 𝑥 10^11, 6.5 𝑥 10^12, 4.8 𝑥 10^21
What is the order of these numbers from LEAST to GREATEST?
1.7 𝑥 10^−4, 1.5 𝑥 10^−3, 1.3 𝑥 10^−5, 1.8 𝑥 10^−4
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown. I'll do one for you.
1.3*10^-5, 1.7*10^-4, 1.8*10^-4, 1.5*10^-3
Order of the numbers from LEAST to GREATEST:
1. For the first set:
2.7 x 10^8, 2.3 x 10^11, 6.5 x 10^12, 4.8 x 10^21
To compare these numbers, we can ignore the exponent and focus on the decimal part.
2.7, 2.3, 6.5, 4.8
The order from least to greatest is: 2.3, 2.7, 4.8, 6.5
2. For the second set:
1.7 x 10^-4, 1.5 x 10^-3, 1.3 x 10^-5, 1.8 x 10^-4
Again, we can ignore the exponent and compare the decimal part.
1.7, 1.5, 1.3, 1.8
The order from least to greatest is: 1.3, 1.5, 1.7, 1.8
To determine the order of these numbers from least to greatest, we need to compare the magnitudes of the numbers without considering their exponents.
For the first set of numbers:
2.7 x 10^8 can be written as 27 x 10^7
2.3 x 10^11 can be written as 23 x 10^10
6.5 x 10^12 can be written as 65 x 10^11
4.8 x 10^21 can be written as 48 x 10^20
Comparing the magnitudes, we can see that:
27 x 10^7 < 23 x 10^10 < 65 x 10^11 < 48 x 10^20
So, the order from least to greatest is:
2.7 x 10^8 < 2.3 x 10^11 < 6.5 x 10^12 < 4.8 x 10^21
For the second set of numbers:
1.7 x 10^-4 can be written as 0.17 x 10^-3
1.5 x 10^-3 can be written as 1.5 x 10^-3
1.3 x 10^-5 can be written as 0.013 x 10^-3
1.8 x 10^-4 can be written as 0.18 x 10^-3
Comparing the magnitudes, we can see that:
0.17 x 10^-3 < 1.3 x 10^-5 < 1.5 x 10^-3 < 0.18 x 10^-3
So, the order from least to greatest is:
1.7 x 10^-4 < 1.3 x 10^-5 < 1.5 x 10^-3 < 1.8 x 10^-4