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Write in standard notation and tell which are the significant digits: "0.7200 x 10^4 mm."

a. 72000
b. 7200
c. 72
d. 720.0

1 Answer

5 votes

Final answer:

To write "0.7200 x 10^4 mm" in standard notation, we multiply the number before the "x" by 10 raised to the power of the exponent. The significant digits in this notation are 7, 2, and 0. So, the standard notation of "0.7200 x 10^4 mm" is 7200 mm with 3 significant digits.

Step-by-step explanation:

The given expression is "0.7200 x 10^4 mm". To write this in standard notation, we multiply the number before the "x" by 10 raised to the power of the exponent. In this case, the number before the "x" is 0.7200 and the exponent is 4:

0.7200 x 10^4 mm = 0.7200 * 10^4 mm = 7200 mm

Therefore, the standard notation of "0.7200 x 10^4 mm" is 7200 mm. The significant digits in this notation are all the non-zero digits, which are 7, 2, and 0. The zeros at the end of the number are also significant because they indicate the precision of the measurement. So, the significant digits in this case are 7200.

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