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Math....
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Simplify (7.78 x 10−11)(5.9 x 10−18). Write the final answer in scientific notation.
a) 4.5902 x 10−28
b) 4.5902 x 10−29
c) 45.902 x 10−28
d) 45.902 x 10−29
To simplify the expression (7.78 x 10^−11)(5.9 x 10^−18), we can multiply the numbers and add the exponents of 10:
(7.78 x 10^−11)(5.9 x 10^−18) = (7.78 x 5.9)(10^−11 x 10^−18) = 45.902 x 10^(-11-18) = 45.902 x 10^−29
So the correct answer in scientific notation is d) 45.902 x 10^−29.
Find the product of (4 x 106) and (2 x 106). Write the final answer in scientific notation.
a) 8 x 106
b) 8 x 1012
c) 8 x 10012
d) 8 x 1036
To find the product of (4 x 10^6) and (2 x 10^6), we can multiply the numbers and add the exponents of 10:
(4 x 10^6) x (2 x 10^6) = (4 x 2)(10^6 x 10^6) = 8 x 10^(6+6) = 8 x 10^12
So the correct answer in scientific notation is b) 8 x 10^12.
Find the quotient of The quantity 21 times ten raised to the negative twenty first power end quantity divided by the quantity 7 times ten raised to the negative twenty first power end quantity.. Write the final answer in scientific notation.
a) 3 x 10−42
b) 3 x 100
c) 3 x 1021
d) 3 x 1042
To find the quotient of (21 x 10^-21) divided by (7 x 10^-21), we can divide the numbers and subtract the exponent of 10:
(21 x 10^-21) / (7 x 10^-21) = (21 / 7)(10^-21 / 10^-21) = 3 x 10^(−21−(−21)) = 3 x 10^0 = 3
So the correct answer in scientific notation is 3 x 10^0, which is equivalent to 3. Therefore, none of the given options (a), (b), (c), or (d) are the correct answer.
That can't be the case, Bot. Please try again.
Find the quotient of The quantity 21 times ten raised to the negative twenty first power end quantity divided by the quantity 7 times ten raised to the negative twenty first power end quantity.. Write the final answer in scientific notation.
a) 3 x 10−42
b) 3 x 100
c) 3 x 1021
d) 3 x 1042
Apologies for the incorrect response earlier. Let's try again.
To find the quotient of (21 x 10^-21) divided by (7 x 10^-21), we can divide the numbers and subtract the exponent of 10:
(21 x 10^-21) / (7 x 10^-21) = (21 / 7)(10^-21 / 10^-21) = 3 x 10^(−21−(−21)) = 3 x 10^0 = 3 x 1
Since 10^0 is equal to 1, the answer simplifies to 3.
Therefore, the correct answer is: b) 3 x 100.
How many times larger is 9 x 105 than 5 x 103?
a) 1.8
b) 18
c) 180
d) 1,800
To determine how many times larger one number is than the other, we can divide the larger number by the smaller number:
(9 x 10^5) / (5 x 10^3) = (9/5) x (10^5 / 10^3) = (9/5) x 10^(5-3) = (9/5) x 10^2 = 1.8 x 10^2
So, 9 x 10^5 is 1.8 x 10^2 times larger than 5 x 10^3.
Therefore, the correct answer is a) 1.8.
Find the product of 4.5 x 1012 and 5.12 x 109. Write the final answer in scientific notation.
a) 23.04 x 1021
b) 23.04 x 1022
c) 2.304 x 1021
d) 2.304 x 1022
To find the product of 4.5 x 10^12 and 5.12 x 10^9, we can multiply the numbers and add the exponents:
(4.5 x 10^12) × (5.12 x 10^9) = (4.5 × 5.12) × (10^12 × 10^9) = 23.04 × 10^(12+9) = 23.04 × 10^21
So, the correct answer in scientific notation is: b) 23.04 x 10^21.
Divide The quantity 1.365 times ten raised to the eighteenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.
a) 0.15 x 1010
b) 1.5 x 109
c) 0.15 x 1026
d) 1.5 x 1010
To divide (1.365 x 10^18) by (9.1 x 10^8), we can divide the numbers and subtract the exponents of 10:
(1.365 x 10^18) / (9.1 x 10^8) = (1.365 / 9.1) x (10^18 / 10^8) = 0.15 x 10^(18-8) = 0.15 x 10^10
So, the correct answer in scientific notation is: a) 0.15 x 10^10.
How many times smaller is 6 x 10−7 than 4.5 x 10−4?
a) 133
b) 13,333
c) 75
d) 750
To determine how many times smaller one number is than the other, we can divide the smaller number by the larger number:
(6 x 10^(-7)) / (4.5 x 10^(-4)) = (6/4.5) x (10^(-7) / 10^(-4)) = (6/4.5) x 10^((-7)-(-4)) = (6/4.5) x 10^(-7+4) = (6/4.5) x 10^(-3)
Simplifying further, (6/4.5) is equal to 1.33 recurring or approximately 1.3333.
So, 6 x 10^(-7) is approximately 1.3333 times smaller than 4.5 x 10^(-4).
Therefore, the correct answer is: a) 133.
Find the quotient of The quantity 32 times ten raised to the negative twenty second power end quantity divided by the quantity 8 times ten raised to the negative twenty second power end quantity.. Write the final answer in scientific notation.
a) 4 x 10−44
b) 4 x 1044
c) 4 x 1022
d) 4 x 100
To find the quotient of (32 x 10^-22) divided by (8 x 10^-22), we can divide the numbers and subtract the exponent of 10:
(32 x 10^-22) / (8 x 10^-22) = (32 / 8)(10^-22 / 10^-22) = 4 x 10^(−22−(−22)) = 4 x 10^0 = 4 x 1
Since 10^0 is equal to 1, the answer simplifies to 4.
Therefore, the correct answer is: d) 4 x 100.
How many times smaller is 5 x 10−7 than 8.5 x 10−4?
a) 59
b) 170
c) 1,700
d) 5,882
To determine how many times smaller one number is than the other, we can divide the smaller number by the larger number:
(5 x 10^-7) / (8.5 x 10^-4) = (5/8.5) x (10^-7 / 10^-4) = (5/8.5) x 10^(-7+4) = (5/8.5) x 10^-3
Simplifying further, (5/8.5) is approximately 0.58823529 or approximately 0.588.
So, 5 x 10^-7 is approximately 0.588 times smaller than 8.5 x 10^-4.
Converting this to a percentage, the difference is approximately 0.588 x 100 = 58.8%.
Therefore, the correct answer is: a) 59.
Find the product of (3 x 109) and (2 x 109). Write the final answer in scientific notation.
a) 6 x 1081
b) 6 x 10018
c) 6 x 1018
d) 6 x 109
To find the product of (3 x 10^9) and (2 x 10^9), we can multiply the numbers and add the exponents:
(3 x 10^9) × (2 x 10^9) = (3 × 2) × (10^9 × 10^9) = 6 × 10^(9 + 9) = 6 × 10^18
So, the correct answer in scientific notation is: c) 6 x 10^18.
Simplify (9.78 x 10−11)(3.4 x 10−18). Write the final answer in scientific notation.
a) 33.252 x 10−29
b) 3.3252 x 10−29
c) 33.252 x 10−28
d) 3.3252 x 10−28
To simplify the expression (9.78 x 10^-11)(3.4 x 10^-18), we can multiply the numbers and add the exponents of 10:
(9.78 x 10^-11)(3.4 x 10^-18) = (9.78 x 3.4)(10^-11 x 10^-18) = 33.252 x 10^(-11-18) = 33.252 x 10^-29
So the correct answer in scientific notation is a) 33.252 x 10^-29.
How many times larger is 8 x 10^5 than 4 x 10^3?
a) 2,000
b) 200
c) 20
d) 2.0
To determine how many times larger one number is than the other, we can divide the larger number by the smaller number:
(8 x 10^5) / (4 x 10^3) = (8 / 4) x (10^5 / 10^3) = 2 x 10^(5-3) = 2 x 10^2
So, 8 x 10^5 is 2 x 10^2 times larger than 4 x 10^3.
Therefore, the correct answer is: b) 200.
Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.
a) 3.5 x 108
b) 0.35 x 109
c) 3.5 x 109
d) 0.35 x 1025
To divide (3.185 x 10^17) by (9.1 x 10^8), we can divide the numbers and subtract the exponents of 10:
(3.185 x 10^17) / (9.1 x 10^8) = (3.185 / 9.1) x (10^17 / 10^8) = 0.35 x 10^(17-8) = 0.35 x 10^9
So, the correct answer in scientific notation is: c) 0.35 x 10^9.
Find the product of 4.5 x 10^12 and 5.12 x 10^9. Write the final answer in scientific notation.
a) 23.04 x 1021
b) 23.04 x 1022
c) 2.304 x 1021
d) 2.304 x 1022
To find the product of 4.5 x 10^12 and 5.12 x 10^9, we can multiply the numbers and add the exponents:
(4.5 x 10^12) × (5.12 x 10^9) = (4.5 × 5.12) × (10^12 × 10^9) = 23.04 × 10^(12+9) = 23.04 × 10^21
So, the correct answer in scientific notation is: a) 23.04 x 10^21.