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.

Participants of a shooting tournament have circular boards with diameter of 15 inches. Five small targets are placed along the diameter without overlapping as shown on the right. If the shot is accurate, the smaller target turns from black to green. If Leo makes every 3 out of 5 shots and there are a total of ten small targets on the board, what percent of the board's surface will be green?

Which fraction is equivalent to StartFraction 5 Over 20 EndFraction? StartFraction 4 Over 16 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fourth and One-fourth = StartFraction 4 Over 16 EndFraction StartFraction 4 Over 12 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fourth and One-fourth = StartFraction 4 Over 12 EndFraction StartFraction 4 Over 19 EndFraction, because StartFraction 5 Over 20 EndFraction = StartFraction 5 minus 1 Over 20 minus 1 EndFraction = StartFraction 4 Over 19 EndFraction StartFraction 4 Over 15 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fifth = StartFraction 5 minus 1 Over 20 minus 5 EndFraction = StartFraction 4 Over 15 EndFraction\

Jessica’s friend lent her $5. Later that day Jessica gave her friend back $1.75 Which rational number represents the overall change to the amount of money Jessica’s friend has?

why might you want to rewrite 1x+0.05 as 1.05x??

c - 7 = 12 :((((((((((((((((((((((((((((((((((((((((((((((((((((((

how do I know if im diving with ratio's or multiplying? please put a equation problem about dividing and multiplying ratios

Help please help................

What value of k makes this equation true? ANSWER ASSAP



39 = k - 11

Pamela rode her bike at a constant rate of 0.1 kilometer per minute. Which table represents y , the number of kilometers Pamela rode her bike in x minutes?

What graph would best display the data shown in the frequency table?

Age Tally Frequency
8 5
9 ||| 8
10 || 7
11 |||| 4
12 0
13 | 1
line plot
vertex-edge graph
histogram
stem-and-leaf graph

What is the slope of the line that passes through the points (-8, -3)(−8,−3) and (-12, -3) ?(−12,−3)? Write your answer in the simplest form.

Solve number 32. . Show your work.

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.


Part A

Let m = the number of miles Mr. Parker drives for the day. Choose the expression that shows the amount he will pay for the van.

A. 50m + 0.35 B. 0.35 + m + 50 C. m(0.35 + 50) D. 50 + 0.35m

Part B

Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.


Enter your answer

To find the quotient of 3 divided by one-sixth, multiply 3 by
One-sixth.
Three-sixths.
3.
6.

Find the diameter of a circle with a circumference of 162π yd

Please help!
Thank you! :)

Write the value of each expression
1. -8(3)
2.5(-2)
3.2(-1)(14)

Two similar triangles are shown
27.2
E E
С
What is the measure of ZD in degrees?
A
27.2
B
31.4
С
35.6
OD
62.8

Luke was out of cereal for breakfast. He walked to the grocery store to buy his favorite, Honey Nut Cheerios. While looking at the cereal, he noticed all the different box sizes and different prices. A giant "Family Size" box contained 14.7 oz and cost $5.99. A small, individual size contained 1.5 oz and cost $1.89. He wanted to get the most "bang for his buck." Which choice is the better buy? In other words, which choice is cheaper per ounce? Which one should he buy and why?

Two numbers have a sum of -15 and a
product of -100. What are the numbers?

Robbie did a survey of four butterfly parks and wrote the following observations: BRAINLIEST



Butterfly Park Survey
Park Number of White Butterflies Total Number of Butterflies
A 24 86
B 43 92
C 12 68
D 32 52


Based on the survey, which park had the greatest percentage of white butterflies?
Park A
Park B
Park C
Park D

I will give you the brain thing and extra points. (image below) 6/13

name 5 fractions whose values are between 1/2 and 7/8

Is the equationy=-1/2 linear or nonlinear?

The Frederick County Fair costs $15.00 to get in and
$2.50 per ride, while the Montgomery County Fair costs
$10.00 to get in and $3.00 per ride. Which equations
could be used to determine how many rides you would
need to go on for both fairs to be of equal value?

17 POINTS PLEASE HURRY !!

can you help me, please? I really need help.

on a map the distance between New york and philadelphia is 10.25 inches. if 2 inches equals 16 miles, what is approximate distance between the two cities

true or false:
1. 7 = (-5) - (-12)
2.The difference between -5 and -12 is equal to (-5) - (-12)
3.The difference between -12 and -5 is equal to (-5) - (-12)
4.(-5) + 12 = (-5) - (-12)
5.(-5) + (-12) = (-5) - (-12)

A rectangular prism has a volume of 1,200 cubic units. The area of the base is 80 square units.
What is the height of the prism?
(Show work)

graph the rational function f(x)=(3x-1)/(x-5)