Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10−8 meters wide by 2.5×10−6 meters long. Use scientific notation to write the dimensions in millimeters.
Note: 1 meter is equal to 1,000 millimeters.
(1 point)
Responses
1.25×10−11 by 2.5×10−9 millimeters
1.25 times 10 superscript negative 11 baseline by 2.5 times 10 superscript negative 9 baseline millimeters
1.25×10−5 by 2.5×10−3 millimeters
1.25 times 10 superscript negative 5 baseline by 2.5 times 10 negative cubed millimeters
1.25×10−10 by 2.5×10−8 millimeters
1.25 times 10 superscript negative 10 baseline by 2.5 times 10 superscript negative 8 baseline millimeters
1.25×10−6 by 2.5×10−4 millimeters
1.25×10−6 by 2.5×10−4 millimeters
To convert the dimensions from meters to millimeters, we multiply each dimension by 1,000 (since 1 meter is equal to 1,000 millimeters).
The dimensions in millimeters are:
1.25×10^(-8) meters wide x 1,000 millimeters/1 meter = 1.25×(10^(-8))×(10^3) millimeters = 1.25×(10^(-8+3)) millimeters = 1.25×(10^(-5)) millimeters.
2.5×10^(-6) meters long x 1,000 millimeters/1 meter = 2.5×(10^(-6))×(10^3) millimeters = 2.5×(10^(-6+3)) millimeters = 2.5×(10^(-3)) millimeters.
Therefore, the dimensions in millimeters are 1.25×10^(-5) by 2.5×10^(-3) millimeters.
To write the dimensions in millimeters, we need to convert meters to millimeters.
Given that 1 meter is equal to 1,000 millimeters, we can multiply the given dimensions by 1,000 to convert them to millimeters.
For the width:
1.25×10^(-8) meters × 1,000 millimeters/meter = 1.25×10^(-8) × 1,000 millimeters = 1.25×10^(-5) millimeters
For the length:
2.5×10^(-6) meters × 1,000 millimeters/meter = 2.5×10^(-6) × 1,000 millimeters = 2.5×10^(-3) millimeters
So, the dimensions in millimeters are 1.25×10^(-5) by 2.5×10^(-3) millimeters.