Respuesta :
Answer: [tex]7.63\times10^{-1}[/tex]
Step-by-step explanation:
- The scientific notation is a technique to express a very large or a very small number in the product of a decimal form of number [commonly between 1 and 10] and powers of ten.
We know that one thousandth is written as :
[tex]\text{One thousandth}=\frac{1}{1000}[/tex]
Therefore, 763 thousandths can be written as :
[tex]\text{ 763 thousandths}=\frac{763}{1000}=\frac{7.63}{10}[/tex]
In Scientific notation:
[tex]\frac{7.63}{100}=763\times10^{-1}......[\text{ By law of exponents }](\frac{1}{a^n}=a^{-n})[/tex]
The number [tex]763\text{ thousandths}[/tex] in scientific notation is [tex]\boxed{\bf 7.63\times 10^{-1}}[/tex].
Further Explanation:
The scientific notation is a technique which is used to express a very large or a very small number in the product of a decimal form of number [commonly between 1 and 10] and a power of ten.
It can easily simplify an arithmetic operation and in a scientific calculator it is known as SCI display mode.
In scientific notation, all the numbers can be written as follows:
[tex]\boxed{x\times 10^{y}}[/tex]
Here, [tex]y[/tex] is an exponent integer and [tex]x[/tex] is the real number. The integer [tex]y[/tex] is the order of the magnitude and [tex]x[/tex] is called the mantissa (fractional part of the number).
As we know that one thousandths in mathematical form can be written as follows:
[tex]\boxed{1\text{ thousandths}=\dfrac{1}{1000}}[/tex]
Therefore, the number [tex]763\text{ thousandths}[/tex] in mathematical form is written as follows:
[tex]\boxed{\begin{aligned}763\text{ thousandths}&=\dfrac{763}{1000}\\&=\dfrac{7.63}{10}\end{aligned}}[/tex]
So, in scientific notation the number [tex]763\text{ thousandths}[/tex] is written as follows:
[tex]\boxed{\dfrac{7.63}{10}=7.63\times 10^{-1}}[/tex]
Therefore, the number [tex]763\text{ thousandths}[/tex] in scientific notation is expressed as [tex]\boxed{\bf 7.63\times 10^{-1}}[/tex].
Learn more
1. Learn more about the division: https://brainly.com/question/545132
2. Learn more about the simplification https://brainly.com/question/894273
3. Learn more about the percentage https://brainly.com/question/928382
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Number system
Keywords: scientific notation, 763 thousandths, multiplication, division, exponent power, real number, integers, power of ten, scientific calculator, decimal form.
