Question

Kendra finds the dimension of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10 with the power of -8 m wide by 2.5×10 power -6 m long use scientific notation to write the dimension in millimeters 1 m is equal to 1000 mm so would the answer be 1.25×10 with a negative -5 power or by 2.5×10 power -3 mm or 1.25×10 with a power of -6 x 2.5×10 power of -4 mm or 1.25×10 power of -10 x 2.5×10 with a power of -8 mm or last 1.25×10 with the power of -11 x 2.5×10 with a power of -9

Answer 1

To convert Kendra's measurements from meters to millimeters, we first need to manipulate the dimensions given in meters to millimeters. Since 1 meter is equal to 1000 millimeters, we can convert the dimensions by multiplying by \(10^3\) (because 1000 in scientific notation is \(10^3\)).

1. Convert width:

   • Kendra found the width to be \(1.25 \times 10^{-8}\) m.
   • To convert to mm: \[ 1.25 \times 10^{-8} \text{ m} \times 10^3 = 1.25 \times 10^{-8 + 3} \text{ mm} = 1.25 \times 10^{-5} \text{ mm} \]

2. Convert length:

   • Kendra found the length to be \(2.5 \times 10^{-6}\) m.
   • To convert to mm: \[ 2.5 \times 10^{-6} \text{ m} \times 10^3 = 2.5 \times 10^{-6 + 3} \text{ mm} = 2.5 \times 10^{-3} \text{ mm} \]

So the dimensions of the sticky note in millimeters would be \(1.25 \times 10^{-5}\) mm wide and \(2.5 \times 10^{-3}\) mm long.

The correct answers from your options are:

• \(1.25 \times 10^{-5}\) mm (for width)
• \(2.5 \times 10^{-3}\) mm (for length)