Answers
Step-by-step explanation:
you don't understand what the multiplication or division with 10 (or a higher power of 10) does ?
or you don't know. what 10² means ?
this means 10 to the power of 2 or 10 squared and is simply 10 multiplied with itself 2 times : 10×10.
and 10×10 is ... 100.
as you can imagine, this is not restricted to the number 2 (and 10). "power of" can be any number and just indicates how often the base number is multiplied with itself.
a surcharge case is "power of 0", which is simply 1.
now that we understand that, let's have a quick look at how the numbers we are dealing with (in daily life as well as in class and in science) are actually built :
when I write e.g the number
1234
then this actually means
4×10⁰ + 3×10¹ + 2×10² + 1×10³
when I multiply this now by e.g. 10 this becomes
4×10⁰×10 + 3×10¹×10 + 2×10²×10 + 1×10³×10 =
4×10¹ + 3×10² + 2×10³ + 1×10⁴
as you can see, the previous "single" position 4 now becomes a 40.
and the result looks in short form :
12340
so, a multiplication by 10 adds a 0 at the low end of the number.
a multiplication by 10² or 100 (= 10×10) adds then 2 0s at the low end. and so forth.
a division by 10 does the opposite and removes a 0 at the low end of the number.
but what if we don't have any 0 at this position of the number ? then we enter the system of the decimal point.
because on the right side of the decimal point we continue to countdown the exponent of 10 below 0.
the first position right of the decimal point stands for 10^‐1, the second position for 10^‐2, and so forth. and that is nothing else than tenths, hundredths, thousandths, ...
so, in short, a multiplication by 10 moves the decimal point one position to the right. and if we run out of written positions, then we can simply assume an infinite sequence of 0s continuing further to the right.
and a division by 10 moves the decimal point one position to the left. and if we run out of written positions, then we can simply assume an infinite sequence of 0s continuing further to the left too that are then showing up on the right side of the decimal point.
now, I think we covered all the basics and we can look at the question here :
10² × 18.72
10² = 100 = 10×10
so, we are multiplying twice by 10 and move the decimal point therefore 2 positions to the right.
the result is then
1872
as a little guide : when it is clear that the number has to get bigger by the operation (like a multiplication by 10 or 100), you need to move the decimal point in the direction that makes the number bigger (which is to the right).
and if the operation is clearly trying to make the number smaller, then you have to move the decimal point in the direction to make the number smaller (to the left).
Related Questions
7075806785463087580370x98437532794395798243757934
Answers
Answer:
6.9652496e+47
Step-by-step explanation:
Answer:
use calculator to solve this equation
Pizza is sold at a restaurant in 3 sizes: small (S), medium (M), and large (L). Customers can choose from 4 toppings to be used on a 1-topping pizza. The 4 toppings are green peppers (G), ham (H), pepperoni (P), and olives (O).
A customer plans to order a large or medium 1-topping pizza with any topping except pepperoni (P).
This sample space shows all the types of 1-topping pizzas. Which outcomes in this sample space show the types of pizza the customer may order?
Select all correct outcomes
Answers
Using the given sample space, it is found that the types of pizza the customer may order is: {MG, MH, MO, LG, LH, LO}
The sample space is the set that contains all possible outcomes.
In this problem:
The pizza is large or medium, hence the first letter has to be M or L.The topping is any except pepperoni, hence, the second letter is G, H or O.Thus, the possible outcomes are: {MG, MH, MO, LG, LH, LO}
A similar problem is given at https://brainly.com/question/14798120
When divding numbers with the same base you________ the exponents
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When divding numbers with the same base you subtract the exponents ~
Answer:
subtracts
Step-by-step explanation:
hope this helps
I need help on this question please
Answers
Answer:
ABC -- not similarΔJKL ~ ΔHIG, AA similaritynot similarStep-by-step explanation:
a) Side ratios in the smaller triangle are 3:4:6. In the larger triangle, they are 5:6:9. These are not equivalent ratios, so the triangles are not similar.
__
b) The missing angle in the left triangle is 90° -55° = 35°. This matches the acute angle shown in the right triangle, so the right triangles are similar by the AA similarity criterion. The given triangle JKL starts with the largest acute angle, then the right angle, so the similarity statement must be ...
ΔJKL ~ ΔHIG
__
c) All we know for sure is that the vertical angles are congruent. We need information about a pair of sides or of another angle before any similarity can be claimed. The triangles are not necessarily similar.
Can someone please give me the answer
Answers
Answer:
6/10
Step-by-step explanation:
30/50=3/5
3/5=3/5
15/25=3/5
3/5*2/2=6/10
Please help! 20 Points! Will give brainliest if correct!
Answers
Answer:
first one
Step-by-step explanation:
lemme know if im right
Answer:
first one I think is right
Help me please I’m stuck
Answers
The y axis of the point is being translated 2 units down (going from 4 to 2)
Answer:
Step-by-step explanation:
If 3 is width and 2 is length 3 units right 1 unit up
If 2 is width and 3 is length 2 units right 3 units up
YES I WILL MARK BRAINLIST :
Find the 11th term if a8=8 and a20=44.
Answers
please help question 20 due on monday
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________
Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2
________________________________
Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3
Answers
The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:
1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.
2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5
3. Alex would represent it as: [tex]\frac{1}{2} n[/tex] > [tex]1\frac{1}{3}[/tex]
A number line is a system that can be used to show the positions of all directed numbers.
Thus, the solutions to the given questions are stated below:
1. Let the scuba diver's previous deepest dive be represented by d . Such that,
2.5 d = - 80 .......... 1
So that;
d + p = -80 ............ 2
From equation 1,
2.5 d = -80
d = -32 feet
From equation 2,
-32 + P = - 80
p = -80 + 32
= -48 feet
p = -48 feet
⇒ -32 + (-48) = -80
Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.
2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.
Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles
= 8.6 miles
Thus, since the distance to the store is more than 3.5 miles east of her home, thus the appropriate inequality that represents the situation is:
-5.1 + d > 3.5
The correct option is: A or C
3. Let the number be represented by n, so that:
[tex]\frac{1}{2}[/tex]n > [tex]1\frac{1}{3}[/tex]
Alex would represent the statement as: [tex]\frac{1}{2} n[/tex] > [tex]1\frac{1}{3}[/tex]
Visit: https://brainly.com/question/17800079
3x + 3 = 2x + 12 i need help for this answer
Answers
Answer:
X=9
Step-by-step explanation:
3x+3=2x+12
3x-2x=12-3
x=9
In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?
Answers
Answer:
2.42
Step-by-step explanation:
I AM VERY SORRY IF ITS WRONG
2.7z + 1.2z - 6.5 = 0.7
Answers
Answer:
= 1 . 8 4 6 1 5 3 8 4 6
Step-by-step explanation:
I took the test yesterday and I got a 100 on the math part
Answer/Step-by-step explanation:
Combine multiplied terms into a single fraction
2.7z+1.2z−6.5=0.7
2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7
Combine multiplied terms into a single fraction
2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7
2 7 /1 0 + 6 5 − 6 . 5= 0 . 7
Find common denominator
2 7 /1 0 + 6 5 − 6 . 5= 0 . 7
[tex]\frac{27z}{10} +\frac{2.6z}{10} +\frac{10(-6.5)}{10} =0.7[/tex]
Combine fractions with common denominator
[tex]\frac{27z+2*6z+10(-6.5)}{10} =0.7[/tex]
Multiply the numbers
[tex]\frac{27z+12z-65}{10} =0.7[/tex]
Combine like terms
[tex]\frac{39z-65}{10} =0.7[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]10*\frac{39z-65}{10} =10*0.7[/tex]
Cancel multiplied terms that are in the denominator
39z-65=10*0.7
Multiply the numbers
39z-65=7
Add 65 to both sides of the equation
39z-65+65=7+65
Simplify
39z=72
Divide both sides of the equation by the same term
[tex]\frac{39z}{39} =\frac{72}{39}[/tex]
Simplify
Z= 1.846153846
Jose has 8 2/3 cups of plaster of Paris powder. If Jose uses 5 3/5 cups of sculpture, how much plaster will he have left?
Answers
Answer:
3 1/15
Step-by-step explanation:
8 2/3 - 5 3/5
find the LCD(least Common denominator)
8 10/15 - 5 9/15 = 3 1/15
7
Use synthetic division to divide and write the quotient.
(9x² + 22 x - 15)+(x+3)
Answers
9x^2+23x−12
Hope this Helps!
rewrite the expression as a single fraction 3/8 + 1/8
Answers
Answer:
Step-by-step explanation:
3/8+ 1/8 = 4/8
(x, 7) and (-7, 4); slope: 1
Answers
Answer: x= -4
Step-by-step explanation: slope = (y2-y1)/(x2-x1).
(4-7)/(-7-x)
-3/-7-x=1
Multiply both sides by -7-x
-3=-7-x
Add 7 to both sides
4=-x so x = -4
Find x get 15 points and brainliest
4/5x+9/10=5 1/5
Answers
Answer:
x=43/8
Step-by-step explanation:
Answer:
43/8
BUT IN A SIMPLIFIED MIXED NUMBER IT IS
5 3/8
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x
Answers
The solution to the given expression is -15/4
Equations are expressions separated by an equal sign.
Given the expression 17 = -13 -8x
Add 13 to both sides
17 + 13 = -13 - 8x + 13
30 = -8x
Swap sides
-8x = 30
Divide both sides by -8
-8x/-8 = -30/8
x = -30/8
x = -15/4
Hence the solution to the given expression is -15/4
Learn more here: https://brainly.com/question/2159099
The quotient of 7 and twice a number equals 5
Answers
Let the number be x.
[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]
Answer:[tex]x = \frac{7}{10} [/tex]
Hope it helps.
Do comment if you have any query.
6 to the power of 2+ 15
Answers
Answer:
51
Step-by-step explanation:
Answer:
51
Step-by-step explanation:
How do you make people the BRAINLIEST when you ask a question?
... you answer it correctly and you can see if i figured it out
-wink
-wink
-wink
:( but seriously this is a huge problem that i cant figure out
Answers
Answer:
You can only mark someone's answer if one other person has answered as well.
Step-by-step explanation:
If two people answered your question, then you get a notification from brainly asking you to pick a brainliest answer.
Answer:
See below:
Step-by-step explanation:
When you mark something as Brainliest, you recognize the answer as something good and that it's helped you a lot and is the best answer.
It also also used to symbolize that they have the best answer and that you should listen to their response.
Once there are two responses, you will see a yellow crown button that you an click to award brainliest, you can also find the button when you select more options on a question.
Cheers!
6. The police department of a major city has found that the average height of
their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using
the normal curve table, answer the following:
a. How many officers are at least 75 inches tall?
b. How many officers are between 65 and 72 inches tall?
c. If an officer is at the 35th percentile in terms of height, how tall is she or he?
d. Assuming an equal amount of service, the top 10% of the police officers in
terms of height also make higher salaries than their less favored fellow of-
ficers. How tall does an officer have to be to get a better salary?
e. What is the probability of encountering an officer who is 66 inches tall or
less?
f. What heights are so deviant that their probability of occurrence is .05 or
less?
Answers
Answer:
c
Step-by-step explanation:
Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese?
Answers
Answer:
to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet
How do you solve Y+4= -3 (x-2)
Answers
Answer:
This problem is in Point Slope form:
To turn it to Slope-Intercept form, you must follow these simple steps below⤵⤵⤵:
Distribute -3 among everything inside the parenthesis to get y + 4 = -3x + 6.Subtract 4 from 6 to get y = -3x + 2.To turn it to Standard Form, you must follow these simple steps below⤵⤵⤵:
Use the Slope-Intercept form of this equation, in order to convert it.Add 3x on both sides of the equal sign, to get 3x + y = 2.Hope this helps you :)
find the slope of the line that passes through the following points a(4, -14) b(6, 18)
Answers
Answer:
Slope=16
Step-by-step explanation:
Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -
Answers
Answer:
Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is
Step-by-step explanation:
calculating the change between two points.
six times the difference of a number and three is -42 (write and equation and solve)
Answers
Here's ur perfect answer
Hello!
6(3-x)=-42
Use the Distributive Property:
18-6x=-42
-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)
-6x=-60
6x=60
Divide both sides by 6:
x=10
Hope it helps!
If you have any questions, feel free to ask in the comments! (:
~An excited gal
[tex]SparklingFlower[/tex]
Please help ASAP...
Find - xy , for x = -75.9 and y = 2.6.
Answers
197.34
Step-by-step explanation:
sincebit says that x multiplied by y
you multiply -75.9 *2.6 which results 197.34
What's (7 x 100) + (4 x /100) + (8 x 1/1000) in standard form?
Answers
Answer:
(7*100) can be written as 7*10^2
4 * / 100 i don’t know
if it was 4 * 100 then it’s 4*10^2
if it was divided then it’s 4*10^-2
8* 1/1000 = 8/1000 = 8*10^-3
add together to get 1.100008 * 10^3 (if it was 4*100)
or 7.00048 * 10^2 ( if it was 4/100)