Compute 4.659×104−2.14×104. Round the answer appropriately.
2 answers:
<em>The result is 25200</em>
<em>4.659 minus 2.14 will produce 3 significant number referring to a number that has the smallest significant number value of 2.14</em>
<h3><em>Further Explanation </em></h3>Significant numbers are numbers obtained from the measurement results of exact numbers and the last number estimated
In scientific notation, all numbers are displayed before the big order is called significant numbers
the scientific notation can be described as:
a, ... x 10ⁿ
a, ... called an significant numbers or mantissa
10ⁿ is called a big order
Rules for significant numbers in general:
- 1. all non-zero numbers are significant numbers
- 2. a zero which is located between two non-zero numbers including a significant number
- 3. all zeros are located in the final row written behind the decimal point include significant number
- 4. zero decimal point is not significant number
- 5. in scientific notation, significant numbers are coefficient
In the question it is known that
(4,659 × 10⁴) and (2.14 × 10⁴) both have a significant number in a row 4,659 and 2.14 so that it meets the rule of significant numbers 5 which is 4 and 3 significant number
So 4.659 minus 2.14 will produce 3 significant number (because we are referring to a number that has the smallest significant number value of 2.14)
So that we do the significant number/coefficient then proceed a big order
Because it has the same exponent number, then the coefficients can be directly deducted, except if the exponent number is different then it must be converted first
4.659 - 2.14 = 2.519
So the result = 2.519 . 10⁴
Because the result must have 3 significant number , the result is 25200 (2 zeros behind is not a significant number)
<h3><em>Learn more </em></h3>significant figures
significant figures in the following number: 5.67 x 106
the number of significant figures is 0.025
0.080 significant figures
the fewest number of significant figures
Keywords : significant number, scientific notation, the exponent number
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