Question

the mass of earth is made up of these parts.

1. atmosphere
2. crust ( 2.6 \times 10 ^ { 22 } mathrm { kg } )
3. mantle ( 4.043 \times 10 ^ { 24 } mathrm { kg } )
4. outer core ( 1.835 \times 10 ^ { 24 } mathrm { kg } )
5. inner core ( 9.675 \times 10 ^ { 22 } mathrm { kg } )

6.

what is the order, from least to greatest, of the masses of each part of earth? order the parts from least to greatest with 1 being the smallest mass and 5 the greatest mass.

1. atmosphere

2.
3.
4.
5.
6.

Explanation:

Step1: Compare the exponents of \(10\)

When comparing numbers in scientific notation \(a\times10^{n}\), first compare the exponents \(n\). The smaller the exponent \(n\), the smaller the number (if \(a> 0\)).
For \(5.1\times10^{18}\), \(n = 18\); for \(1.4\times10^{21}\), \(n=21\); for \(2.6\times10^{22}\), \(n = 22\); for \(9.675\times10^{22}\), \(n=22\); for \(1.835\times10^{24}\), \(n = 24\); for \(4.043\times10^{24}\), \(n=24\).
Since \(18<21<22<24\).

Step2: Compare the coefficients when exponents are equal

When the exponents \(n\) are equal, compare the coefficients \(a\).
For \(n = 22\), \(2.6<9.675\). For \(n = 24\), \(1.835<4.043\).

Answer:

atmosphere (\(5.1\times10^{18}\)) < oceans (\(1.4\times10^{21}\)) < crust (\(2.6\times10^{22}\)) < inner core (\(9.675\times10^{22}\)) < outer core (\(1.835\times10^{24}\)) < mantle (\(4.043\times10^{24}\))