When I round 6396 to 3 significant figures, I get 6400. I was double checking my work and used scientific notation for 6400, which is 6.4*10³, but when I counted the significant figures in scientific notation, I only get 2, which are 6 and 4, but there were supposed to be 3. Anyone can help to explain?

This is one slight annoyance when it comes to sig figs, in my opinion anyway. You did the steps correct. The 639 bumps up to 640, so 6396 rounds to 6400 when rounding to 3 sig figs.

Normally the trailing zeros, ie zeros on the right, are not significant. So 6400 shows only 2 sig figs. What we need to do is draw a horizontal line over the first zero to show that it is significant (while the other zero is not significant)

So you'll write it like this [tex]64\overline{0}0[/tex]

This notation can be problematic when it comes to decimals because it could be easily mixed up with the repeating decimal notation.

When you convert [tex]64\overline{0}0[/tex] to scientific notation, you would get [tex]6.40 \times 10^3[/tex].

In short: [tex]64\overline{0}0 = 6.40 \times 10^3[/tex]

Here the zero is significant because the zero is present in the scientific notation result. Writing [tex]6.4 \times 10^3[/tex] shows 2 sig figs while [tex]6.40 \times 10^3[/tex] has 3 sig figs.

It's similar to how the number [tex]5.7[/tex] has 2 sig figs while [tex]5.70[/tex] has 3 sig figs. While the zero is trailing, having it after a decimal point indicates to the reader that you achieved this level of accuracy.

Answer:

This is one slight annoyance when it comes to sig figs, in my opinion anyway. You did the steps correctly. The 639 bumps up to 640, so 6396 rounds to 6400 when rounding to 3 sig figs.

Normally the trailing zeros, ie zeros on the right, are not significant. So 6400 shows only 2 sig figs. What we need to do is draw a horizontal line over the first zero to show that it is significant (while the other zero is not significant)

So you'll write it like this  

This notation can be problematic when it comes to decimals because it could be easily mixed up with the repeating decimal notation.

When you convert  to scientific notation, you would get .

In short:  

Here the zero is significant because the zero is present in the scientific notation result. Writing  shows 2 sig figs while  has 3 sig figs.

It's similar to how the number  has 2 sig figs while  has 3 sig figs. While the zero is trailing, having it after a decimal point indicates to the reader that you achieved this level of accuracy.

Which of the following is a correct interpretation of the expression 2 - (-5)
A The number that is 5 to the left of 2 on the number line
B The number that is 5 to the right of 2 on the number line
C The number that is 2 to the left of -5 on the number line
D The number that is 2 to the right of -5 on the number line

Help me plz i forgot to put this in the other question!

Each order of nachos costs $3.75 at the concession stand and each drink costs $2.25. Which statement is true if Sarah bought three orders of nachos?

A
The product of 3(–2.25) means Sarah has $6.75 less when she bought 3 orders of nachos.

B
The product of 3(2.25) means Sarah has $6.75 more when she bought 3 orders of nachos.

C
The product of 3(–3.75) means Sarah has $11.25 less when she bought 3 orders of nachos.

D
The product of 3(3.75) means Sarah has $11.25 more when she bought 3 orders of nachos.

I’ll give brainliest PRONTO

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1.He ended up with about One-half pound less grapes.
2.He ended up with about One-half pound more grapes.
3.He ended up with about 1 pound less grapes.
4.He ended up with about 1 pound more grapes.

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A. The initial value is 100; it represents money left over from last year's fundraiser

B. The initial value is 100; it represents money earned per card


C. The initial value is 2; it represents money left over from last year's fundraiser


D. The initial value is 2; it represents money earned per card

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