0.43_ 0.42 is greater

Mathematics

2 answers:

jasenka [17]3 years ago

7 0

0.43 is greater because you need 7 to get to 0.5 unlike 0.42 where you need 8

Lapatulllka [165]3 years ago

3 0

Solutions

A Decimal Number contains a Decimal Point.

0.43 = 0 Tens, 4 Ones and 3 Tenths

0.42 = 0 Tens, 4 Ones and 2 Tenths

0.43 = 0 Tens, 4 Ones and 3 Tenths is greater by 1

0.43 > 0.42

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One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79

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Option B

The number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

Solution:

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

$1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }$

To find: Number of light years in $6.79 \times 10^{16}$ miles

Let "x" be the number of light years in $6.79 \times 10^{16}$ miles

Then number of light years in $6.79 \times 10^{16}$ miles can be found by dividing $6.79 \times 10^{16}$ miles by miles in 1 light year

$\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508$