Understanding Scientific Notation Concepts

The video tutorial by Bartek Roszak explains how to convert decimal and integer numbers into scientific notation. It covers three examples: a negative decimal, a decimal already between 1 and 10, and a large integer. The process involves shifting the decimal point to create a mantissa between 1 and 10 and determining the exponent based on the number of shifts. The video highlights the difference in exponents for numbers less than one and greater than one.

What is the purpose of converting numbers to scientific notation?

• To make numbers smaller.

• To convert numbers into fractions.

• To increase the value of numbers.

• To make numbers easier to read and compare.

What is the term used for the number part in scientific notation that must be between 1 and 10?

• Coefficient

• Mantissa

• Base

• Exponent

How many decimal shifts are needed to convert -0.00841 to scientific notation?

• One

• Four

• Three

• Two

What is the exponent in scientific notation for a number less than one?

• Fractional

• Negative

• Zero

• Positive

What is the scientific notation of -0.00841?

• -8.41 x 10^3

• -8.41 x 10^-3

• -0.841 x 10^-2

• -0.841 x 10^2

Why is the exponent zero when converting 4.9 to scientific notation?

• Because 4.9 is a negative number.

• Because 4.9 is a whole number.

• Because 4.9 is already between 1 and 10.

• Because 4.9 is less than 1.

What happens to the decimal point when converting a number already between 1 and 10 to scientific notation?

• It remains in place.

• It shifts to the right.

• It shifts to the left.

• It is removed.

What is the scientific notation of 4.9?

• 4.9 x 10^-1

• 4.9 x 10^2

• 4.9 x 10^1

• 4.9 x 10^0

Where is the hidden decimal point in the integer 58700?

• After the last digit.

• Between the first and second digits.

• Before the first digit.

• Between the second and third digits.

How many shifts are needed to convert 58700 to scientific notation?

• Five

• Four

• Three

• Two