Multiply & Divide with Scientific Notation

Multiply with Scientific Notation When numbers in scientific notation are multiplied, the number is multiplied with the other number. The power of 10 is multiplied with the other power of 10, BUT when you multiply powers remember the exponents are added. (2 • 103)(4 • 104) (2 • 4) •103+4 8 • 107 *Think of it as combining like terms (multiply ‘numbers with numbers’ and multiply ‘powers of 10 with powers of 10’) Multiply the numbers and add the exponents on the power of 10.

Multiply with Scientific Notation Practice (4.3 • 108)(2 • 106) (4.3 • 2) • 108+6 8.6 • 1014 (1.5 • 10-2)(9 • 10-4) (1.5 • 9) • 10-2 + -4 13.5 • 10-6 This isn’t proper scientific notation. Move the decimal in 13.5 to the left and increase the exponent. 1.35 • 10-5

Divide with Scientific Notation When numbers in scientific notation are divided, the number is divided with the other number. The power of 10 is divided with the other power of 10, BUT when you divide powers remember the exponents are subtracted. 9.6 • 107 1.6 • 104 (9.6 ÷ 1.6) • 107-4 6 • 103 *Think of it as combining like terms (divide ‘numbers with numbers’ and divide ‘powers of 10 with powers of 10’) Divide the numbers and subtract the exponents on the power of 10.

Divide with Scientific Notation Practice 7.8 • 103 1.2 • 104 (7.8 ÷ 1.2) • 103 - 4 6.5 • 10-1 2. 2.25 • 10-7 5 • 10-3 (2.25 ÷ 5) • 10-7- -3 0.45 • 10-4 This isn’t proper scientific notation. Move the decimal in 0.45 to the right and decrease the exponent. 4.5 • 10-5