Question

Write each answer with the correct number of digits.

(a)$\mathbf{1}\mathbf{.}\mathbf{021}\mathbf{+}\mathbf{2}\mathbf{.}\mathbf{69}\mathbf{=}\mathbf{3}\mathbf{.}\mathbf{711}$

(b) $\mathbf{12}\mathbf{.}\mathbf{3}\mathbf{-}\mathbf{1}\mathbf{.}\mathbf{63}\mathbf{=}\mathbf{10}\mathbf{.}\mathbf{63}$

(c)$\mathbf{4}\mathbf{.}\mathbf{34}\mathbf{\times }\mathbf{92}\mathbf{=}\mathbf{39}\mathbf{.}\mathbf{928}$

(d)$\mathbf{0}\mathbf{.}\mathbf{0602}\mathbf{÷}\left(2.113\times {10}^4\right)\mathbf{=}\mathbf{2}\mathbf{.}\mathbf{84903}\mathbf{\times }{\mathbf{10}}^{\mathbf{-}\mathbf{6}}$

(e)$\mathbf{log}\left(4.218\times {10}^{12}\right)\mathbf{=}\mathbf{?}$

(f)$\mathbf{antilog}\mathbf{(}\mathbf{-}\mathbf{3}\mathbf{.}\mathbf{22}\mathbf{)}\mathbf{=}\mathbf{?}$

(g)localid="1663318436617" ${\mathbf{10}}^{\mathbf{2384}}\mathbf{=}\mathbf{?}$

Short answer

a) 3.7

b) 10.7

c)$4.0\times {10}^1$

d) $2.85\times {10}^{-6}$

e) 12.6251

f)$6.0\times {10}^{-4}$

g) 242

Step-by-step solution

Definition of digit.

Any of the digits from 0 to 9, especially when used as part of a number, is referred to as a digit.

Determine the correct number of digits.

a) $1.021+2.69=3.711=3.7$

b) 12.3-1.63=10.67=10.7

c)$4.34\times 9.2=39.928=4.0\times {10}^1$

d) $0.0602/4\left(2.113\times {10}^4\right)=2.84903\times {10}^{-6}=2.85\times {10}^{-6}$

e)$\log (4.218\times {10}^{12})=12.6251$

f) $\mathrm{antilog}(-3.22)=6.0\times {10}^{-4}$

g)${10}^{2.384}=242$