7x10 to the 3rd power, write a pattern to find the value of the expression

1 answer:

6 0

Scientific notation is used to express very large or very small values.
Numbers in scientific notation are written in the form of
m × 10 to the power of n
For example:
500 is written as 5 x 10^2 where:
500 = 5 x 10 x 10

Now, let's consider 7 x 10^3:
Following the same procedure:
7 x 10^3 = 7 x 10 x 10 x 10 = 7000
The pattern can be written as:
7 x 10^3 = 7 x 10 x 10^2
= 70 x 10^2
= 70 x 10 x 10^1
= 700 x 10
= 7000

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The complete exercise is attached.

For this exercise you need to remember the following properties:

1. The Distributive property states that:

$c(a+b)=ac+bc\\\\c(a-b)=ac-bc$

2. The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

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$4(2a + 3)= -3(a - 1) + 31 - 11a$

You can identify that the first property John used was the Distributive property:

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After combining like terms, you can identify that the next property he applied was the Addition property of equality, adding $14a$ to both sides of the equation: