Mathematics, 17.01.2020 05:31 Hunter1471

Perform the following calculations. in each case, first estimate the solution without using a calculator and then do the calculation, paying attention to significant figures.
(a) (2.7)(8.632)
(b) (3.600 x 10^-4) / 45
(c) 2.365 + 125.2
(d) (4.753 x 10^4) - (9 x 10^2)

Answers: 3

Show answers

Answers

Answer from: anastasiakonni1

For a: The answer is $2.3\times 10^1$

For b: The answer is $8.0\times 10^{-6}$

For c: The answer is 127.6

For d: The answer is $4.66\times 10^4$

Step-by-step explanation:

Significant figures are defined as the figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

Rules for significant figures:

Digits from 1 to 9 are always significant and have infinite number of significant figures.All non-zero numbers are always significant. For example: 654, 6.54 and 65.4 all have three significant figures.All zero’s between integers are always significant. For example: 5005, 5.005 and 50.05 all have four significant figures.All zero’s preceding the first integers are never significant. For example: 0.0078 has two significant figures.All zero’s after the decimal point are always significant. For example: 4.500, 45.00 and 450.0 all have four significant figures.All zeroes used solely for spacing the decimal point are not significant. For example : 8000 has one significant figure.

Rule applied for the addition and subtraction is:

The least precise number present after the decimal point determines the number of significant figures in the answer.

Rule applied for the multiplication and division is:

The number of significant digits is taken from the value which has least precise significant digits.

For the given options:

Option a: (2.7)(8.632)

The given problem is a multiplication one.

$\Rightarrow (2.7\times 8.632)=23.3$

Here, the least precise significant digits are 2. So, the answer is $2.3\times 10^1$

Option b: (3.600 x 10^-4) / 45

The given problem is a division one.

$\Rightarrow \frac{(3.600\times 10^{-4})}{45}=0.08\times 10^{-4}$

Here, the least precise significant digits are 2. So, the answer is $8.0\times 10^{-6}$

Option c: 2.365 + 125.2

The given problem is an addition one.

$\Rightarrow (2.365+125.2)=127.565$

Here, the least precise significant digits after decimal is 1. So, the answer is 127.6

Option d: (4.753 x 10^4) - (9 x 10^2)

The given problem is a subtraction one.

$\Rightarrow (4.753\times 10^4)-(9\times 10^2)=(4.753\times 10^4)-(0.09\times 10^4)=4.663\times 10^4$

Here, the least precise significant digits after decimal are 2. So, the answer is $4.66\times 10^4$

Answer from: Quest

62926281916 inches of rain: )

Answer from: Quest

6e14 is the answer.

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 19:00, dfrtgyuhijfghj4794

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Answers: 1

continue

Mathematics, 21.06.2019 20:00, aaliyahvelasauez

Last one and the bottom answer choice is y=(x-4)^2+1 you guys!

Answers: 1

continue

Mathematics, 21.06.2019 20:30, lorelaistudent

Barbara has a good credit history and is able to purchase a car with a low-interest car loan. she co-signs a car loan for her friend jen, who has poor credit history. then, jen defaults on the loan. who will be held legally responsible by the finance company and why? select the best answer from the choices provided. a. barbara will be held legally responsible because she has a good credit history. b. jen will be held legally responsible because she drives the car. c. barbara will be held legally responsible because she is the co-signer. d. jen will be held legally responsible because she has a poor credit history. the answer is a

Answers: 3

continue

Mathematics, 21.06.2019 21:30, theoretical0315

Julie goes to the sports store and spends $40.50 before tax. she buys a pair of shorts for $21.75 and 3 pairs of socks that each cost the same amount. how much does each pair of socks cost? $$

Answers: 1

continue

You know the right answer?

Perform the following calculations. in each case, first estimate the solution without using a calcul...