Scientific Notation Conversion (meters to yards)

Question

Carry out the following conversion. Express your answer in scientific notation. (must show your work to earn credit)

12.56 x 10^-2 m to yards (helpful hint: 1 inch= 2.54cm; 1 foot= 12 inches; 3 feet= 1 yard)

Answer 1

$1m=100cm=\large{\frac {100}{2.54 \cdot 36}}yd$ (if 1 inch is 2.54 cm then to find number of inches in 100 cm we need to divide 100 by 2.54)

Thus: $12.56 \cdot 10^{-2} m=\large{\frac {12.56}{2.54 \cdot 36}}yd$