Question

3.75 million in figures

Answer 1

3,750,000

Further explanation

Problem:

3.75 million in figures.

The Process:

3.75 is a decimal number that can be written as $\boxed{ \ 3.75 = \frac{375}{100} \ }$.

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

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

$\boxed{ \ 3.75 \times 1,000,000 = \frac{375}{100} \times 1,000,000 \ }$

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

$\boxed{ \ 3.75 \times 1,000,000 = 375 \times 10,000 \ }$

Thus, the result is $\boxed{\boxed{ \ 3.75 \ million = 3,750,000 \ }}$

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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  

$\boxed{ \ a \times 10^n \ }$

where  

$\boxed{ \ 1 \leq a \ < 10 \ }$

• a = mantissa
• n = the order of magnitude

Let's change 3,750,000 as a standard form into scientific notation.

$\boxed{ \ 3,750,000 = 3.75 \times 1,000,000 \ }$

Thus, 3,750,000 is written in scientific notation as $\boxed{\boxed{ \ 3,750,000 = 3.75 \times 10^{6} \ }}$

Learn more

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

Answer 2

The number $3.75{\text{ million}}$ can be written in the figures as $\boxed{{\mathbf{3,750,000}}}$ and in scientific notation as $\boxed{{\mathbf{3}}{\mathbf{.75 \times 1}}{{\mathbf{0}}^{\mathbf{6}}}}$.

Further explanation:

The decimal numbers are the numbers that involves the dot in the number. The decimal system is also known as base ten positional numeral system.

The examples of the decimals are $2.3,3.456,2.97$.

Given:

The number is $3.75{\text{ million}}$.

Step by step explanation:

Step 1:

The given number is in the decimal form as $3.75$.

First we write the decimal number into fraction form.

It can be seen that in the number $3.75$ has two digits after the decimal.

Therefore, the decimal number $3.75$ can be converted into fraction form as,

$3.75 = \dfrac{{375}}{{100}}$  

Step 2:

We know that the term million can be written in the figure as $1,000,000$.

The million term is same as $1,000$ thousand.

The given term $3.75{\text{ million}}$ is $3.75$ times $1,000,000$.

Now multiply $3.75$ with $1,000,000$ to obtain the value of $3.75{\text{ million}}$ in figures.

$3.75 \times 1,000,000 = \dfrac{{375}}{{100}} \times 1,000,000$  

Now cross out the number $100$ in above expression as,

$\begin{aligned}3.75 \times 1,000,000 &= \frac{{375}}{{100}} \times 100 \times 10,000 \hfill\\3.75 \times 1,000,000 &= 375 \times 10,000 \hfill \\3.75 \times 1,000,000 &= 3,750,000 \hfill\\\end{aligned}$  

Thus, the $3.75{\text{ million}}$ can be written in the figure as $3,750,000$.

The resultant figure can be written in the scientific notation also.

The scientific notation of a number can be written as,

$a \times {10^n}$  

Here, the value of $a$ lies between $1{\text{ and 10}}$.

Similarly, in this way $3,750,000$ can be written in the scientific notation as,

$\begin{aligned}3,75,000&= 3.75 \times 1,000,000\\&= 3.75 \times {10^6}\\\end{aligned}$  

Thus, the number $3.75{\text{ million}}$ can be written in the scientific notation as $3.75 \times {10^6}$.

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Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Numeral system.

Keywords: Numbers, figure, decimal, division, multiplication, scientific notation, million power, conversion, fraction, base ten positional numeral system.