Ajamia asked in Science & MathematicsChemistry · 10 months ago

# how many significant figures are in 75000.0? and why? ?

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• Jim
Lv 7
10 months ago

6

Since there is a decimal, there is no question that all digits are significant.

• 10 months ago

This is quite simple. Since 75000.0 has a decimal, all digits after the decimal count as sig figs, and so do all digits that are before the decimal point. Therefore, 75000.0 would have 6. If your number was 75000, there would be different since there is no decimal point. If there's no decimal point, there would only be 2, becuase the 3 zeros at the end wouldn't count.

• 10 months ago

Oh that was such a good movie. Mary Jackson was a real badass

• Anonymous
10 months ago

There are six significant figures. It's because there's a decimal. Significant figures are used to account for errors or estimates in reading measurements. When you have a decimal it shows that the reading was done at the tenths place (or hundredths place or whatever). If it was just 75000 without the decimal, that could mean that the the reading was taken in the thousands. Like looking at a graph that is only marked at every thousand or ten thousand units, so the values for the hundreds or thousands place are just estimated by eye-balling it.

Just remember as a rule that if there is a decimal, you count the zeros.

True @Lon... the decimal rule only applies to trailing zeros, not if the number begins with zeros

• GA41
Lv 7
10 months ago

Looks like six to me.  Because the number is presented in 10,000's which has 5 digits, but they have carried it to 1 decimal place (0.1) which gives you six places.  Normally a problem will tell you to report the answer to the nearest tenth, or hundreth or whatever.  This would define the number significant digits.  So if your caculator gives you an answer like 75,000.0387893, but you were asked to report it to the nearest 10th, then the last significant place is .0, the remaining numbers are insignificant, because you were not asked to report to that degree of accuracy.

• Bill
Lv 7
10 months ago

Six, because it's written with a decimal point and one digit after the decimal.

• Anonymous
10 months ago

You can literally figure it out by yourself. If you don't know how to then you need to learn it on your own or get out of whatever class is requiring this work