The mass of Jupiter is 1.898 × 1027 kilograms, and the mass of Saturn is 5.68 × 1026 kilograms. How much greater is Jupiter's mass than Saturn's mass?

The mass of Jupiter is 1898 1027 kilograms and the mass of Saturn is 568 1026 kilograms How much greater is Jupiters mass than Saturns mass class=

Respuesta :

Masse Jupiter = 1.898 x 10²⁷   OR 18.98 x 10²⁶

Mass Saturn = 5.68 x 10²⁶


Difference of Masses = Jupiter - Saturne  OR 1.898 x 10²⁷ - 5.68 x 10²⁶

In order to be able to proceed to the subtraction, both exponents of 10 should be equal, the Mass of Jupiter 1.898 x 10²⁷   OR 18.98 x 10²⁶

Now 18.98 x 10²⁶ - 53.68 x 10²⁶ ==> (18.98 - 5.68) x 10²⁶ ===>

Masses = Jupiter - Saturne  = 13.3 x 10²⁶  OR 1.33 x 10²⁷

Jupiter's mass is 1.33 x [tex]10^{27}[/tex] kilograms greater  than Saturn's mass

Explanation

The mass of Jupiter is [tex]1.898 \cdot 10^{27}[/tex] kilograms, and the mass of Saturn is [tex]5.68 \cdot 10^{26 }[/tex]kilograms

To find out the difference in mass we need to subtract mass of Saturn from mass of Jupiter

First make both the exponents are same . we need to get 10^26 on both

Lets move the decimal point one place to the right in the mass of Jupiter and subtract 1 from exponent 27

[tex]1.898 \cdot 10^{27}=18.98 \cdot 10^{26}[/tex]

Now we subtract

[tex]\:18.98\:\cdot \:\:10^{26}-5.68\:\cdot \:\:10^{26\:}\\(18.98\:-5.68\:\:) \cdot 10^{26}\\13.3 \cdot 10^{26}\\1.33 \cdot 10^{27}[/tex]

Jupiter's mass is 1.33 x [tex]10^{27}[/tex] kilograms greater  than Saturn's mass

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