1. An airplane flight from Houston, Texas to Rome, Italy is 5,686 miles. Estimate the distance between the two cities as the product of a single digit number of times a power of 10. (1 point)
Responses
A. 6×10^3
B. 6×10^4
C. 5×10^3
D. 5×10^4
2. Maria wanted to bring back 5 million grains of sand from her trip to the beach. Each grain of sand weighs approximately 6.7×10−7
kg. How heavy is the bag of sand that Maria brings home?(1 point)
Responses
Multiply 5,000,000(6.7×10−7)=(5×106)⋅(6.7×10−7)=(5⋅6.7)(106+7)=33.5×1013=3.35×1014
kg
Multiply 5 comma 000 comma 000 times open paren 6 point 7 times 10 to the negative 7 power close paren is equal to open paren 5 times 10 to the 6th power close paren times open paren 6 point 7 times 10 to the negative 7 power close paren is equal to open paren 5 times 6 point 7 close paren times open paren 10 raised to the 6 plus 7 power close paren is equal to 33 point 5 times 10 to the 13th power is equal to 3 point 3 5 times 10 to the 14th power kg
Divide 5,000,0006.7×10−7=5×1066.7×10−7=(56.7)×106+(−7)=0.74×10−1=0.074
kg
Divide the fraction with numerator 5 comma 000 comma 000 and denominator 6 point 7 times 10 to the negative 7 power is equal to the fraction with numerator 5 times 10 to the 6th power and denominator 6 point 7 times 10 to the negative 7 power is equal to open paren 5 over 6 point 7 close paren times 10 raised to the 6 plus negative 7 power is equal to 0 point 7 4 times 10 inverse is equal to 0 point 0 7 4 kg
Multiply 5,000,000(6.7×10−7)=(5×106)⋅(6.7×10−7)=(5⋅6.7)(106+(−7))=33.5×10−1=3.35
kg
Multiply 5 comma 000 comma 000 times open paren 6 point 7 times 10 to the negative 7 power close paren is equal to open paren 5 times 10 to the 6th power close paren times open paren 6 point 7 times 10 to the negative 7 power close paren is equal to open paren 5 times 6 point 7 close paren times open paren 10 raised to the 6 plus negative 7 power close paren is equal to 33 point 5 times 10 inverse is equal to 3 point 3 5 kg
Multiply 5(6.7×10−7) = 33.5×10−7=3.35×10−6
kg
Multiply 5(6.7×10−7) = 33.5×10−7=3.35×10−6
kg
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