Exponents Scientific Notation Rational

A representation of repeated multiplication and one strategy for representing very large or very small numbers.

A number is expressed in ______________ when it is written as the product of a number and a power of ten.

This tells you how many times you have to divide the base number, or how many times we have to multiply the reciprocal of the base number.

Compare the numbers. Which number is the least?

• 2.89%

• 2.89 x 10^5 (means 2.89 times 10 to the power of 5)

• 2.8 x 10^-5 ( means 2.89 times 10 to the power of -5)

• 2 8/9

Simplify--express your solution as a number with an exponent

Mathematical Equivalence

OFF

Rewrite the expression using a rational exponent:

Write 78300 in Scientific Notation

• 7.83 x 10⁴ (7.83 times 10 to the 4th power)

• 78.3 x 10^-4 (78.3 time 10 to the negative 4th power)

• 738 x 10⁴ (738 times 10 to the 4th power)

• 0.783 x 10^{4 (}0.783 times 10 to the 4th power)

Which has the smallest value?

• 6.13 x10 ^-1

• 62%

• ¹⁶/₂₅

• 0.632