Karen finds the message of a sticky note. She needs a meter stick to determine whether the dimensions are 1.2×10 with -8 on top meter wide by 2.6×10 -6 m long you get location to determine the dimensions in meters one way is equal to 1000 mm.

Answer 1

To convert the dimensions from scientific notation to meters and then check their values, let's first clarify the dimensions given:

1. Width: \(1.2 \times 10^{-8}\) meters
2. Length: \(2.6 \times 10^{-6}\) meters

Conversion to Meters

1. Width: \[ 1.2 \times 10^{-8} \text{ meters} = 0.000000012 \text{ meters} = 0.012 \text{ micrometers (µm)} \]

2. Length: \[ 2.6 \times 10^{-6} \text{ meters} = 0.0000026 \text{ meters} = 2.6 \text{ micrometers (µm)} \]

Summary of Dimensions

• Width: \(1.2 \times 10^{-8}\) m (or \(0.012\) µm)
• Length: \(2.6 \times 10^{-6}\) m (or \(2.6\) µm)

Conversion to Millimeters

Considering that \(1 \text{ meter} = 1000 \text{ mm}\):

1. Width in mm: \[ 1.2 \times 10^{-8} \text{ m} = 1.2 \times 10^{-8} \times 1000 \text{ mm} = 1.2 \times 10^{-5} \text{ mm} = 0.000012 \text{ mm} \]

2. Length in mm: \[ 2.6 \times 10^{-6} \text{ m} = 2.6 \times 10^{-6} \times 1000 \text{ mm} = 2.6 \times 10^{-3} \text{ mm} = 0.0026 \text{ mm} \]

Final Dimensions in mm:

• Width: \(0.000012\) mm
• Length: \(0.0026\) mm

So, Karen has the dimensions of her object as:

• Width = \(1.2 \times 10^{-8} \text{ m}\) or \(0.000012 \text{ mm}\)
• Length = \(2.6 \times 10^{-6} \text{ m}\) or \(0.0026 \text{ mm}\)

If you need any further calculations or clarifications, feel free to ask!