The number in the standard form with two significant figures is 5.88×10²⁰.
<h3>What is defined as the significant figures?</h3>
- The term significant figures describes the number of significant single digits (0 to several 9 inclusive) in a scientific notation coefficient.
- Significant Figures Rules
- Non-zero digits are all significant. The number 198745 has six significant digits.
- All zeros between any two non-zero digits are significant. For example, the number 108.0097 has seven significant digits.
- All zeros to the right of a decimal point, as well as those to the left of a non-zero digit, are never significant. 0.00798, for example, had three significant digits.
For the given expression;
= (3.4×10⁸×8.2×10⁹) / (5.7×10⁻³ - 9.6×10⁻⁴)
Multiply the numbers is the numerator part and for multiplication of power, the power with the same base will get added.
= (27.88×10¹⁷) / (5.7×10⁻³ - 9.6×10⁻⁴)
Take 10⁻³ common from denominator.
= (27.88×10¹⁷) /10⁻³ (5.7 - 9.6×10⁻¹)
This could be written as;
= (27.88×10¹⁷10³ /(5.7 - 0.96)
= (27.88×10²⁰) /(5.7 - 0.96)
Further simplifying;
= (27.88×10²⁰) /(4.74)
= 5.88×10²⁰
Thus, the number in the standard form with two significant figures is 5.88×10²⁰.
To know more about the significant figures, here
brainly.com/question/24491627
#SPJ1
