Question

Also this one please

Answer 1

The number in the standard form with two significant figures is 5.88×10²⁰.

What is defined as the significant figures?

• The term significant figures describes the number of significant single digits (0 to several 9 inclusive) in a scientific notation coefficient.
• Significant Figures Rules

1. Non-zero digits are all significant. The number 198745 has six significant digits.
2. All zeros between any two non-zero digits are significant. For example, the number 108.0097 has seven significant digits.
3. 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

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