Respuesta :

For this case we have the following factor:

[tex] million = 10 ^ 6 [/tex]

Therefore, what we must do is apply this factor, to the given number.

We have then:

[tex] 3.75 million = 3.75 * 10 ^ 6 [/tex]

Then, rewriting the expression we have:

[tex] 3.75 million = 3,750,000 [/tex]

Answer:

The expression written in significant figures is:

[tex] 3,750,000 [/tex]

3,750,000

Further explanation

We will write 3.75 million in figures. Recall that every digit in a number has a place value.

3.75 is a decimal number that can be written as [tex]\boxed{ \ 3.75 = \frac{375}{100} \ }[/tex].

The term of million is the same as 1,000 thousand or 1,000,000.

Therefore, 3.75 million is 3.75 times 1,000,000.

[tex]\boxed{ \ 3.75 \times 1,000,000 = \frac{375}{100} \times 1,000,000 \ }[/tex]

We cross out 100 because they can be divided by 1,000,000.

[tex]\boxed{ \ 3.75 \times 1,000,000 = 375 \times 10,000 \ }[/tex]

Thus, the result is [tex]\boxed{\boxed{ \ 3.75 \ million = 3,750,000 \ }}[/tex]

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What we have discussed above is writing in standard form. Let's continue with the way of writing in scientific notation.

  • Scientific notation represents the way scientists deal with very broad or very narrow numbers in the product of a decimal form of number and powers of ten.  
  • In other words, these numbers can be rewritten as simple numbers multiplied by 10 which are raised to certain exponents.

Scientific notation should be in the form of  

[tex]\boxed{ \ a \times 10^n \ }[/tex]

where  

[tex]\boxed{ \ 1 \leq a \ < 10 \ }[/tex]

  • a ⇒ mantissa
  • n ⇒ the order of magnitude.

From the key question that is being asked, we face the standard form of 3,750,000.

[tex]3,750,000 = 3.75 \times 1,000,000[/tex]

Hence, 3,750,000 is written in scientific notation as  [tex]\boxed{ \ 3,750,000 = 3.75 \times 10^{6} \ } [/tex]

Learn more

  1. How is 0.00023 written in scientific notation? https://brainly.com/question/1898080
  2. How to explain 3,482,000,000 in scientific notation https://brainly.com/question/231855
  3. Standard form to scientific notation https://brainly.com/question/10436883

Keywords: write 3.75 million in figures, written, in standard form, scientific notation, mantissa, the order of magnitude, power, decimal, very large, small

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