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Exponents and Powers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers3 Marks
Question
Express the given information in Scientific notation and then arrange them in descending order of their size.
Name of the Planet
Mass (in kg)
$1$
Mercury
$330000000000000000000000$
$2$
Venus
$4870000000000000000000000$
$3$
Earth
$5980000000000000000000000$
$4$
Mars
$642000000000000000000000$
$5$
Jupiter
$1900000000000000000000000000$
$6$
Saturn
$569000000000000000000000000$
$7$
Uranus
$86900000000000000000000000$
$8$
Neptune
$102000000000000000000000000$
$9$
Pluto
$13100000000000000000000$
✓

Answer

A number is written in standard form as a $\times 10^k$, where a is terminating decimal and $k$ is an integer.
Name of the Planet
Mass (in kg)
$1$
Mercury
 $3.3 \times 10^{23}$
$2$
Venus
$4.87 \times 40^{24}$
$3$
Earth
$5.98 \times 10^{24}$
$4$
Mars
$6.42 \times 10^{27}$
$5$
Jupiter
 $1.9 \times 10^{27}$
$6$
Saturn
 $5.69 \times 10^{26}$
$7$
Uranus
 $8.69 \times 10^{25}$
$8$
Neptune
$1.02 \times 10^{26}$
$9$
Pluto
 $1.31 \times 10^{22}$
Two numbers written in scientific notation can be compared. The number with the larger power of $10$ is greater than the number with the smaller power of $10.$ If the powers of ten are the same, then the number with larger factor is the larger number.
Hence, the required descending order of the size will be
Jupiter > Saturn > Neptune > Uranus > Earth > Venus > Mars > Mercury > Pluto.

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