Question

Express 30523000 in scientific notation. a. 3 x 10 03.0523 x 10 c. 305 x 10' d. 30523 x 10 e. 305230 x 10 4. The number 0.00003009 expressed in exponential notation is @ 3.009 x 10 b. 3.0 x 10- 3.009 x 10-5 C. 3.009 x 10 d. 3.009 x 104 e. 3.009 Express the number 178481, in scientific notation. a. 1.78481 x 10 b 1.78481 x 10 c. 1.78 x 10 d. 178.481 x 10 e. 1.8 x 10 Convert: 38.6 L= _mL. a. 3.86 x 10mL b. 3.86 x 104 mL C. 3.86 x 10 ml @ 3.86x 10-2 mL e. 3.86 mL A cubic centimeter (cm') is equivalent to what other metric volume unit? a. milliliter 6 liter c. deciliter d. centimeter e. millimeter Using the rules of significant figures, calculate the following: 13.4561 - 3.48 13.4561 bsiq b. 10 3.48 -3 sig 9.9761 .9.98 5. 6. a 9.98

sorry for the messy handwriting. trying to make sure I do the problems correctly

Answer 1

Answer:-

(1)-

As we know that 30523000 can be wriiten as follows:-

30523000 = 3.0523000 $\times$ 10000000

30523000 = 3.0523000 $\times$ 10⁷

or

30523000 = 3.0523 $\times$ 10⁷ (i.e the answer)

therefore correct option is 'b' i.e 3.0523 $\times$ 10⁷

(2)-

As we know that 0.00003009 can be wriiten as follows:

0.00003009 = 3.009 $\times$ 0.00001

0.00003009 = 3.009 $\times$ 10^-5 (i.e the answer)

therefore correct option is 'a' i.e 3.009 $\times$ 10^-5

(3)-

As we know that 178481 can be wriiten as follows:-

178481 = 1.78481$\times$100000

178481 = 1.78481 $\times$​​​​​​​ 10⁵ (i.e the answer) ​​​​​​​

therefore correct option is 'b' i.e 1.78481 $\times$​​​​​​​ 10⁵

(4)-

As we know that

1 L = 1000 mL = 10³ mL

So

38.6 L = 38.6 $\times$ 10³ mL

or

38.6 L = 3.86 $\times$ 10 $\times$ 10³ mL

38.6 L = 3.86 $\times$ 10⁴ mL (i.e the answer)

therefore correct option is 'b' i.e 3.86 $\times$ 10⁴ mL

(5)-

As we know that

1 cm³ = 1 mL = 1 milliliter

1 cm³ = 1 milliliter (i.e the answer)

therefore correct option is 'a' i.e milliliter

(6)-

As we know that according to rules of significant figures , in addition or substraction of number the answer could not have more digits after the decimal point. The answer should be rounded off the least significant figure after the decimal point of the as given in the question.

So

13.4561   [ four significant figure after the decimal point ]

- 3.48 [ two significant figure after the decimal point ( least significant figure ) ]

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9.9761‬ is rounded off 9.98 (i.e the answer)

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therefore correct option is 'a' i.e 9.98

(7)-

Also we know that

So

12.67    [ two significant figure after the decimal point ( least significant figure ) ]

+ 13.005   [ three significant figure after the decimal point ]

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25.675‬ is rounded off 25.68 (i.e the answer)

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therefore correct option is 'd' i.e 25.68

(8)-

As we know that

1.060 qt = 1 L = 1000 mL  

1.060 qt = 1000 mL  

1 qt = 1000 / 1.060 mL

then

777.5 qt = 777.5 $\times$ 1000 / 1.060 mL

777.5 qt = 777500 / 1.060 mL

777.5 qt = 733.49 mL

777.5 qt = 733.5 mL (i.e the answer)

therefore correct option is 'd' i.e 733.5 mL

(9)-

As we know that

1 kg = 1000 g

then

9.75 kg = 9.75 $\times$ 1000 g

9.75 kg = 9750 g

Also we know that

453.6 g = 1 lb

1 g = 1 / 453.6 lb

then

9750 g = 9750 $\times$ 1 / 453.6 lb

9750 g = 21.5 lb  (i.e the answer)

therefore correct option is 'a' i.e 21.5 lb

(10)-

Given:-

length of rectangular solid (L) = 2.50 cm

width of rectangular solid (W) = 1.80 cm

height of rectangular solid (H) = 3.00 cm

density of rectangular solid (d) = 3.96 g / cm³

As we know that

volume of rectangular solid (v) = length of rectangular solid (L) $\times$ width of rectangular solid (W) $\times$ height of rectangular solid (H)

volume of rectangular solid (v) = 2.50 cm $\times$ 1.80 cm $\times$ 3.00 cm

volume of rectangular solid (v) = 13.5 cm³

Also we know that

mass  of rectangular solid (m) = volume of rectangular solid (v) $\times$ density of rectangular solid (d)

mass  of rectangular solid (m) = 13.5 cm³  $\times$ 3.96 g / cm³

mass  of rectangular solid (m) = 53.46 g

or

mass  of rectangular solid (m) = 53.5 g   (i.e the answer)

therefore correct option is 'b' i.e 53.5 g

(11)-

Given:-

temperature (T_⁰C) = - 46.9 ⁰C

temperature (T_⁰F) = ?

As we know that

temperature (T_⁰F) = temperature (T_⁰C) $\times$ [ (9 ⁰ F / 5 ⁰C ) + 32 ⁰ F ]

temperature (T_⁰F) = ( - 46.9 ⁰C $\times$ 9 ⁰ F / 5 ⁰C ) + 32 ⁰ F ]

temperature (T_⁰F) = ( - 422.1 ⁰ F / 5  ) + 32 ⁰ F ]

temperature (T_⁰F) = ( -84.42 ⁰ F ) + 32 ⁰ F ]

temperature (T_⁰F) = -84.42 ⁰ F + 32 ⁰ F

temperature (T_⁰F) = - 52.42 ⁰ F

or

temperature (T_⁰F) = - 52.4 ⁰ F (i.e the answer)

therefore correct option is 'c' i.e - 52.4 ⁰ F