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QUESTION IMAGE

round off each of the following numbers to two significant figures: 517…

Question

round off each of the following numbers to two significant figures: 517 choose 86.3 choose 6.382e+3 choose 5.0008 choose question 5 1 pts perform the following calculation and report the answer to the correct number of significant figures. write your answer in standard notation, not scientific or exponential notation. 628 x 342

Explanation:

Step1: Identify rounding rules for 517

Look at the third - digit. Since 7≥5, round up.
517 rounds to 520

Step2: Identify rounding rules for 86.3

Look at the third - digit. Since 3<5, round down.
86.3 rounds to 86

Step3: Identify rounding rules for 6.382e+3 (which is 6382)

Look at the third - digit. Since 8≥5, round up.
6382 rounds to 6400

Step4: Identify rounding rules for 5.0008

Look at the third - digit. Since 0<5, round down.
5.0008 rounds to 5.0

Step5: Calculate 628×342

628×342 = 628×(300 + 40+2)=628×300+628×40 + 628×2=188400+25120+1256 = 214776
For multiplication, the answer should have the same number of significant figures as the number with the least significant figures among the factors. 628 and 342 both have 3 significant figures. Rounding 214776 to 3 significant figures gives 215000

Answer:

517: 520
86.3: 86
6.382e+3: 6400
5.0008: 5.0
628×342: 215000