The length of the box turtle, which is 0.115 meters, can be expressed in expanded form using both fractions and decimals as follows:
In Fraction Form:
0.115 meters can be expressed as a fraction with three decimal places in the numerator and the appropriate power of 10 in the denominator. In this case, it's:
115/1000
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
115/1000 = (115 ÷ 5) / (1000 ÷ 5) = 23/200
So, in expanded form using fractions, the length is 23/200 meters.
In Decimal Form:
The original decimal, 0.115, is already in decimal form. You can expand it by separating the digits into their respective place values:
0.100 (hundredths place) + 0.010 (thousandths place) + 0.005 (ten-thousandths place)
So, in expanded form using decimals, the length is 0.100 + 0.010 + 0.005 meters.