Significant Figures and Scientific Notation

How do you multiply numbers in Scientific Notation?

• Multiply the coefficients and add the exponents.

• Multiply the coefficients and subtract the exponents.

• Add the coefficients and multiply the exponents.

• Add the coefficients and subtract the exponents.

What is Scientific Notation?

• A method of expressing numbers as a sum of digits

• A way of expressing numbers as a product of a coefficient and a power of ten

• A technique for rounding numbers to the nearest whole number

• A system for categorizing numbers based on their size

What is the rule for Significant Figures in multiplication and division?

• The result should have the same number of significant figures as the measurement with the least significant figures.

• The result should have one more significant figure than the measurement with the most significant figures.

• The result should have two significant figures regardless of the measurements.

• The result should have the same number of decimal places as the measurement with the most decimal places.

What is the rule for Significant Figures in addition and subtraction?

• The result should have the same number of decimal places as the measurement with the least decimal places.

• The result should have the same number of significant figures as the measurement with the most significant figures.

• The result should be rounded to the nearest whole number.

• The result should have one more decimal place than the measurement with the most decimal places.

How do you divide numbers in Scientific Notation?

• Multiply the coefficients and add the exponents.

• Divide the coefficients and subtract the exponents. For example, (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

• Add the coefficients and divide the exponents.

• Subtract the coefficients and multiply the exponents.

How do you determine the number of Significant Figures in a number?

• Count all non-zero digits, any zeros between them, and trailing zeros in a decimal number. Leading zeros are not counted.

• Only count non-zero digits and ignore all zeros.

• Count all digits including leading zeros and ignore non-zero digits.

• Count only the first and last digits of the number.

Give an example of a number in Scientific Notation.

• 4.5 x 10^-4

• 0.00045

• 3.2 x 10^3

• 1.2 x 10^5

When performing the calculation 34.530 g + 12.1 g + 1222.34 g, how many decimal places should the final answer have?

• 0 decimal places

• 1 decimal place

• 2 decimal places

• 3 decimal places

Calculate (2.45 x 10^4) x (8.78 x 10^6) and express in scientific notation.

• 1.23 x 10^15

• 2.15 x 10^15

• 3.45 x 10^15

• 4.56 x 10^15

What is the purpose of using Scientific Notation?

• To represent numbers in a more complex form

• To simplify the representation of very large or very small numbers, making calculations easier and clearer.

• To convert all numbers into fractions

• To eliminate the need for decimal points