Compute 4.659\times10^4-2.14\times10^4. Round the answer appropriately. Express your answer as an integer using the proper number of significant figures

jernplate8

jernplate8

Answered question

2021-05-28

Compute 4.659×1042.14×104. Round the answer appropriately.
Express your answer as an integer using the proper number of significant figures

Answer & Explanation

Mitchel Aguirre

Mitchel Aguirre

Skilled2021-05-29Added 94 answers

We have
4.659×1042.14×104 
(4.6592.14)×104 
2.519×104 
After the decimal point, there are two significant digits in 2.14.
There are three important figures in 4.659 after the decimal point.
Therefore, the final response should include two significant figures following the decimal point.
2.52×104 
Answer in the form of an integer, 25200.

alenahelenash

alenahelenash

Expert2023-05-27Added 556 answers

Subtracting the numbers in scientific notation, we have:
4.659×1042.14×104=(4.6592.14)×104
Performing the subtraction within the parentheses, we get:
(4.6592.14)×104=2.519×104
To express the answer as an integer using the proper number of significant figures, we need to determine the number of significant figures in the original numbers being subtracted.
The number 4.659 has four significant figures since there are four non-zero digits. The number 2.14 has three significant figures since there are three non-zero digits. Since subtraction involves the least number of significant figures, we should round the answer to three significant figures.
Therefore, rounding 2.519×104 to three significant figures, we obtain:
2.519×1042.52×104
Expressing the answer as an integer, we have:
2.52×10425,200
Hence, the solution to the expression 4.659×1042.14×104 rounded to the appropriate number of significant figures is 25,200.
star233

star233

Skilled2023-05-27Added 403 answers

Answer:
2.520×104
Explanation:
To solve the expression 4.659×1042.14×104 and round the answer appropriately, we can perform the subtraction of the two numbers:
4.659×1042.14×104=(4.6592.14)×104.
Simplifying the subtraction within the parentheses:
4.6592.14=2.519.
Therefore, the result is 2.519×104. To express the answer as an integer using the proper number of significant figures, we need to round it appropriately. Since 2.519 has four significant figures, we'll round the final answer to four significant figures as well.
Rounding 2.519×104 to four significant figures gives us:
2.519×1042.520×104.
Hence, the solution to the expression 4.659×1042.14×104 rounded to four significant figures is 2.520×104.
karton

karton

Expert2023-05-27Added 613 answers

Step 1: Compute the subtraction:
4.659×1042.14×104
Step 2: Subtract the numbers:
(4.659×104)(2.14×104)
Step 3: Perform the subtraction operation:
4.659×1042.14×104=2.519×104
Step 4: Round the answer appropriately:
Since the original numbers have three significant figures, we will round the answer to three significant figures as well.
2.519×1042.52×104
Therefore, the solution is approximately 2.52×104.

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