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Calculate the following a. (6.7 xx 10^...

Calculate the following
a. `(6.7 xx 10^(5)) xx (4.6 xx 10^(4))`
b. `(7.6 xx 10^(7)) xx (3.8 xx 10^(-4))`
c. `(6.8 xx 10^(-3)) xx (5.2 xx 10^(-4))`
d. `(6.7 xx 10^(5)) / (4.6 xx 10^(4))`
e. `(7.6 xx 10^(7)) / (3.8 xx 10^(-4))`
f. `(6.8 xx 10^(-3)) / (3.8 xx 10^(-4))`
g. `7.65 xx 10^(2) + 2.72 xx 10^(3)`
h. `7.87 xx 10^(-4) - 2.61 xx 10^(-5)`

Text Solution

Verified by Experts

a. `(6.7 xx 4.6) (10^(5 + 4)) = 30.82 xx 10^(9)`
b. `(7.6 xx 3.8) (10^(7 - 4)) = 28.88 xx 10^(3)`
c. `(6.8 xx 5.2) (10^(-3-4)) = 35.36 xx 10^(-7)`
d. `(6.7 xx 10^(5))/(4.6 xx 10^(4)) = (6.7)/(4.6) xx (10^(5 - 4)) = 1.456 xx 10^(1) = 14.56`
e. `(7.6 xx 10^(7))/(3.8 xx 10^(-4)) = (7.6)/(3.8) xx (10^(7 - (-4))) = 2.0 xx 10^(11)`
f. `(6.8 xx 10^(-3))/(5.2 xx 10^(-4)) = (6.8)/(5.2) xx (10^(- 3 - (-4))) = 1.3 xx 10^(1) = 13.0`
g. `7.65 xx 10^(2) + 2.72 xx 10^(3) = (7.65 + 2.72 xx 10^(1)) xx 10^(2)`
`= (7.65 + 27.2) xx 10^(2)`
`= 34.85 xx 10^(2)`
h. `(7.87 xx 10^(-4) - 2.61 xx 10^(-5))`
`= (7.87 xx 10^(-4) - 2.61 xx 10^(-4) xx 10^(-1))`
`= (7.87 xx 10^(-4) - 0.261 xx 10^(-4))`
`= (7.87 - 0.261) xx 10^(-4) = 7.609 xx 10^(-4)`
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