A sugar cube has a volume of about 4.9 ml. What is the total volume in milliliters of 1.5×106
sugar cubes?
Responses
7.35×107
ml
7.35×107
ml - incorrect
7.35×105
ml
7 point 3 5 times 10 to the 5th power ml - no response given
0.735×107
ml
0 point 7 3 5 times 10 to the 7th power ml - no response given
7.35×106
ml
To find the total volume of 1.5×10^6 sugar cubes, you multiply the volume of one sugar cube by the number of sugar cubes.
4.9 ml (volume of one sugar cube) x 1.5×10^6 (number of sugar cubes) = 7.35×10^6 ml
Therefore, the total volume is 7.35×10^6 ml.
A rectangular park has an area of 1.36×108 ft2
. The length of the park is 1.6×104
ft. Divide the area by the length to find the width of the park.
Responses
8.5×103
ft.
8 point 5 times 10 cubed ft. - not selected, this is the correct answer
8.5×105
ft.
8 point 5 times 10 to the 5th power ft. - no response given
8.5×102
ft.
8 point 5 times 10 squared ft. - incorrect
8.5×104
ft.
To find the width of the park, you need to divide the area by the length.
1.36×10^8 ft^2 (area) ÷ 1.6×10^4 ft (length) = 8.5×10^3 ft
Therefore, the width of the park is 8.5×10^3 ft.
Divide 3.3×104
by 5.5×107
.
Responses
6×10−5
6 times 10 to the negative 5 power - no response given
6×10−3
6 times 10 to the negative 3 power - incorrect
6×10−4
6 times 10 to the negative 4 power - not selected, this is the correct answer
6×10−6
To divide 3.3×10^4 by 5.5×10^7, you divide the numbers in front and subtract the exponents:
3.3 ÷ 5.5 = 0.6
10^4 ÷ 10^7 = 10^(4-7) = 10^-3
So, 3.3×10^4 ÷ 5.5×10^7 = 0.6×10^-3
In scientific notation, 10^-3 is written as 1×10^-3 or simply 10^-3.
Therefore, the answer is 6×10^-4.
A city lunch program for seniors received a grant of 1.925×106
dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.
Responses
0.7×105
0 point 7 times 10 to the 5th power - no response given
7×106
7 times 10 to the 6th power - no response given
7×105
7 times 10 to the 5th power - not selected, this is the correct answer
0.7×106
To find out how many senior lunches the grant can provide, you need to divide the grant amount by the cost per lunch.
1.925×10^6 dollars (grant amount) ÷ $2.75 (cost per lunch) = 7×10^5
Therefore, the grant can provide 7×10^5 senior lunches.
The correct answer is 7×10^5.