Respuesta :
Scientific notation is a form of a number that represented with 10^x. This notation will help much when the number is too big or too small because you doesn't need to write all the zero. A thousandth is 1/1000 which means 10^-3. In this case, the scientific notation of 763 thousandths would be:
763 * 10^-3 = 7.63 * 10^-1
763 * 10^-3 = 7.63 * 10^-1
The scientific notation of 763 thousandths is [tex]\boxed{7.63 \times {{10}^{ - 1}}}.[/tex]
Further explanation:
Given:
The number is 763 thousandths.
Explanation:
The place values are only natural numbers.
The base ten systems represent the position of a place value.
The first digit from the right is the ones place, the second digit from the right is the tens place, the third digit from the right is the hundreds, the fourth digit from the right is the thousands.
After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.
763 thousandths in base 10 can be expressed as follows,
[tex]\begin{aligned}763{\text{ thousandths}}&= \frac{{763}}{{1000}} \\&= 763 \times {10^{ - 3}} \\ &= 0.763 \\\end{aligned}[/tex]
The scientific notation of 763 thousandths can be obtained as follows,
[tex]\boxed{0.763 = 7.63 \times {{10}^{ - 1}}}[/tex]
The scientific notation of 763 thousandths is [tex]\boxed{7.63 \times {{10}^{ - 1}}}.[/tex]
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Decimals
Keywords: value, scientific notation, 763, digit, place value, tens, hundreds, thousandth, ones, digit, place, base ten.