Pre Algebra 23 - Scientific Notation - v.2

The video tutorial covers the decimal number system and how decimal numbers can represent fractional quantities. It explains the concept of scientific notation, which is used to express very large or small numbers in a compact form. The tutorial provides examples of converting numbers between standard decimal form and scientific notation, highlighting the importance of exponents in this process. It also discusses the historical context of measurement units and the need for scientific notation in modern science and engineering.

What happens to a decimal number when it is multiplied by 10?

• The decimal point moves one place to the left.

• The number becomes negative.

• The number remains unchanged.

• The decimal point moves one place to the right.

Why was scientific notation invented?

• To simplify calculations with small numbers.

• To make it easier to work with numbers that have many zeros.

• To convert fractions into whole numbers.

• To eliminate the need for decimal points.

In scientific notation, what does the exponent indicate?

• The number of zeros in the number.

• The size of the number compared to one.

• The number of times the base is multiplied by itself.

• The number of decimal places to move the point.

How is the number 25 trillion expressed in scientific notation?

• 25 * 10^13

• 25 * 10^12

• 2.5 * 10^13

• 2.5 * 10^12

What is the first step in converting a decimal number to scientific notation?

• Add a multiplier of 10 to the zero power.

• Move the decimal point to the end of the number.

• Multiply the number by 10.

• Subtract the exponent from the number.

When converting a small decimal number to scientific notation, what happens to the exponent?

• It becomes negative.

• It remains zero.

• It decreases by the number of places the decimal moves right.

• It increases by the number of places the decimal moves left.

What is the scientific notation for a number with a decimal point moved 7 places to the right?

• Exponent remains the same

• Exponent becomes zero

• Exponent decreases by 7

• Exponent increases by 7