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(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
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)=33.5×1013=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
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
The correct answer is:
Multiply 5(6.7×10−7) = 33.5×10−7=3.35×10−6 kg
The Thai Pepper has a hotness rating of 7.5×104
on the Scoville scale.
The Red Savina Habanero has a hotness rating of 4.6×105
on the Scoville scale.
How many times hotter is the Red Savina Habanero than the Thai Pepper?
(1 point)
Responses
Divide (7.5×104)(4.6×105)=7.54.6×104−5=1.63×101=16.3
times hotter
Divide (7.5×104)(4.6×105)=7.54.6×104−5=1.63×101=16.3
times hotter
Multiply (7.5×104)⋅(4.6×105)=(7.5×4.6)⋅(104⋅5)=34.5×1020=3.45×1021
Multiply open paren 7 point 5 times 10 to the 4th power close paren times open paren 4 point 6 times 10 to the 5th power close paren is equal to open paren 7 point 5 times 4 point 6 close paren times open paren 10 raised to the 4 times 5 power close paren is equal to 34 point 5 times 10 to the 20th power is equal to 3 point 4 5 times 10 to the 21th power
Divide (4.6×105)(7.5×104)=4.67.5×105−4=0.613×101=6.13
times hotter
Divide (4.6×105)(7.5×104)=4.67.5×105−4=0.613×101=6.13
times hotter
Multiply (7.5×104)⋅(4.6×105)=(7.5×4.6)⋅(104+5)=34.5×109=3.45×1010
times hotter
The correct answer is:
Divide (4.6×105)(7.5×104)=4.67.5×105−4=0.613×101=6.13
times hotter
Mercury is 5.8×107
km from the sun. Neptune is 4.5×1010
km from the sun. How much further is Neptune from the sun than Mercury?(1 point)
Responses
Divide the distances: 4.5×10105.8×107=0.78×103 =7.8×102
km
Divide the distances: 4.5×10105.8×107=0.78×103 =7.8×102
km
Subtract the distances by getting the same power of 10: (4.5×1010)−(5.8×107) =(4.5×1010)−(0.0058×1010)=4.49×1010
km
Subtract the distances by getting the same power of 10: (4.5×1010)−(5.8×107) =(4.5×1010)−(0.0058×1010)=4.49×1010
km
Add the distances together: (5.8×107)+(4.5×1010) = 10.3×1017=1.03×1018
km
Add the distances together: (5.8×107)+(4.5×1010) = 10.3×1017=1.03×1018
km
Multiply the distances: (5.8×107)⋅(4.5×1010) = (5.8×4.5)⋅(107+10)=26.1×1017=2.61×10
The correct answer is:
Subtract the distances by getting the same power of 10: (4.5×1010)−(5.8×107) =(4.5×1010)−(0.0058×1010)=4.49×1010 km
When adding and subtracting numbers in Scientific Notation, the powers of the base 10 must be the same exponent so that you have "like terms".
When multiplying and dividing numbers in Scientific Notation, you do not have to have the same power of the base 10. You can simply follow the exponent rules for multiplying and dividing with the like base 10.
(1 point)
Responses
True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing.
True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing.
False, you must always have the same exponent on the base 10 for all operations in Scientific Notation.
False, you must always have the same exponent on the base 10 for all operations in Scientific Notation.
True, when multiplying and dividing you can just multiply the coefficients and multiply the exponents.
True, when multiplying and dividing you can just multiply the coefficients and multiply the exponents.
False, you cannot multiply or divide numbers in Scientific notation without having the same coefficients.
The correct answer is:
True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing.