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Hoochie [10]
3 years ago
5

Now consider the expression 4.0×103+4×102. determine the values of a and k when the value of this expression is written in scien

tific notation.
Mathematics
2 answers:
natta225 [31]3 years ago
6 0
Let`s say that the expression is written in the form:a * 10^k.4 * 10^3 + 4 * 10^2 = = 4 * 10 * 10^2 + 4 * 10^2 = = 40 * 10^2 + 4 * 10^2 = = 44 * 10^2 = 4.4 * 10^3.Answer:a = 4.4 and k = 3 and the expression in the scientific notation is:4.4 * 10^3.

Feliz [49]3 years ago
4 0

Answer:

The values of ''a'' and ''k'' are :

a=4.4

k=3

Step-by-step explanation:

If we want to write a number in scientific notation we can write it as :

a.(10)^{k}    (I)

Where ''a'' is a real number and :

1\leq a

Where ''k'' is an integer number.

The first step is to find the value of the expression.

The expression is :

4.(10)^{3}+4.(10)^{2} ⇒

4.(10)^{3}+4.(10)^{2}=4000+400=4400

We need to write the number ''4400'' in scientific notation.

We can write it as :

4400=(4.4).(10)^{3}

If we compare this final expression with (I) ⇒

a=4.4

k=3

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