Consider these scenarios. 1. An elephant weighs 1. 5 × 104 units. 2. A mouse weighs 2. 13 × 10-5 units. 3. A puppy weighs 1. 2 ×
1 answer:
An ounce unit will best represent each scenario.
The average weight of an elephant is around 3000-4000 kg.
The average weight of a mouse = 15-20 grams
The average weight of a puppy = 25-30kg
It is given that
Weight of the elephant = units ≈150000 units
Weight of the mouse = units ≈630 units
Weight of the puppy = units ≈1200 units
1 ounce = 0.0253495 kg
150000 ounces = 3800kg, near to actual value
630 ounces = 16kg, near to actual value
1200 ounces = 30kg, near to actual value
Therefore, an ounce unit will best represent each scenario.
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The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that
So, is multiplying the parenthesis involving
and
, and we distributed it:
multiplies both
and
in the final result.
Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum , and neither
exponents count.
But you can su, for example,
or
So, take for example exercise 9:
We distribute the 1.2 through the first parenthesis:
And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):
So, the expression becomes
Now sum like terms: