Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a number by 0.1, move the decimal to the left. Why?

Answers

Answer 1

Answer:

Because we actually divide by 10 when a number is multiplied by 0.1.

Step-by-step explanation:

Let [tex]a[/tex] be a number.

When we multiply a number by 10:

[tex]a \times 10 = 10 a[/tex] (One '0' is increased in the number)

For example:

[tex]23 \times 10 = 230[/tex]

Considering a decimal number:

[tex]2.3 \times 10 = 23[/tex]

Multiplying a number with 0.1 (which is actually [tex]\frac{1}{10}[/tex]) means dividing the number by 10.

[tex]23\times 0.1 =23\times \frac{1}{10}=2.3[/tex]

Considering a decimal number:

[tex]2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23[/tex]

Therefore, When multiplying a number by 0.1, move the decimal to the left.

Answer 2

Answer:

Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.

Step-by-step explanation:

hope this helps


Related Questions


Which equation best represents the constant rate of change shown in the pattern between the
figure number, f, and the number of squares, s?

Answers

Answer:

. s = 3f   the answer is G

Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days

Answers

Answer:

B

Step-by-step explanation:

Paul: 54.6/18.2= 3 days

Ryan: 81.6/20.4= 4 days

Answer:

B. 1 day

Step-by-step explanation:

First, we need to find how many days each person practiced for:

Paul- 54.6 ÷ 18.2  = 3

Ryan- 81.6 ÷ 20.4 = 4

4 - 3 = 1, so B is the answer.

I hope this helped, please mark Brainliest, thank you!

an equation of the line that passes through (0, 5) and (−1.5, 1).

Answers

y = (8/3)x + 5

Is this what your asking for right?

Answer:

The answer is y=8/3x+5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=1-5/(-1.5)-0

m=-4/-1.5

m=8/3

y-y=m(x-x1)

y-5=8/3(x-0)

y-5=8/3x-0

+5 +5

y=8/3x+5

if possible can you include your method? :)

Answers

Step-by-step explanation:

11/15 = 73.333/100

73.333/100 = 0.73333

0.73333 = 0.73 (2sf/2dp)

Answer:

73/100

Step-by-step explanation

Since 0.73 =11/15 is false, there is no solution.

No solution

0.73  is the same as  73/100

so the answer is

73/100

in decimal form is 0.73

Please help thank you

Answers

Answer:

Step-by-step explanation:

A: quotient  

B: dividend

C: divider

A proportional relationship exists between x and y. When x=8 the value of y is 14.

(a) Write an equation for y in terms of x.​

Answers

Answer:

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Step-by-step explanation:

Proportion means that the change in one quantity causes change in other quantity.

Given that A proportional relationship exists between x and y.

It can be expressed mathematically as:

y ∝ x

When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k

[tex]y = kx[/tex]

Given that y=14 when x=8

Putting in equation

[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]

Putting the value of k in equation

[tex]y = \frac{7}{4}x[/tex]

Hence,

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

What are the two methods of finding unit rate

Answers

Answer:

The Packing Cube method and something else I cant remember it.

Step-by-step explanation:

Which storm is likely to cause quick destruction along a narrow path?

hurricane

thunderstorm

tornado

Answers

Answer:

tornado bc they are narrow and can cause great destruction :) hope I helped !

A tornado is the storm that is likely to cause quick destruction along a narrow path.

What is storm?

A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.

Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.

They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.

While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.

Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.

Hence,  tornado is the storm that is likely to cause quick destruction along a narrow path.

To learn more on Storms click:

https://brainly.com/question/11163773

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(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?

Answers

[tex]\mathrm {Hey, there!}[/tex]

Let's solve your problem:

The answer would be 280%.

We know the following information:

2pm - 15 toilet paper rolls

5pm - 57 toilet paper rolls

We have to find the percent rate of change.

Here is how we will do this problem:

First, Set up a ratio:

Change in the quantity [15 - 57]

-------------------------------------

Original quantity [15]

57 - 15 = 42

Next, we will divide. the ratio.

Given quantity - 42

Number of packs sold at 2pm - 15

Fraction - 42/15

Convert the fraction to a decimal.

Fraction - 42/15

Decimal - 2.8

Make the decimal to a percent.

Decimal - 2.8

Percent - 28%

Add a zero to the 28.

Our answer is 280%

Answer:

14 packs per hour

Step-by-step explanation:

2pm ⇒ sold 15 packs  5pm ⇒ sold 57 packs

Average rate of change = change in sale/ change in time

(57 - 15) / (5 - 2) = 42/3 = 14 packs per hour

Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?

Answers

Answer:

y=2x-8

Step-by-step explanation:

gradient = 1-6 / -6-4

= 2

y=2x+c

substitute one of the points

4=2*6+c

c=-8

y=2x-8

??????!?????????????????????!?!

Answers

Step-by-step explanation:

if the area of a box is 1 cm^2

then area of triangle is6 cm square

3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?​

Answers

Answer:

a) x=40

b) x=3

c) x=40

d) x=35

e) x=9.6

Step-by-step explanation:

1. Cross multiply.

2. Divide.

take a look at the following set of data: 21,74,42,89,51,38,207 what word would describe the data point 133​

Answers

9514 1404 393

Answer:

  "missing"

Step-by-step explanation:

The value 133 is missing from the given data set.

Answer:

missing

Step-by-step explanation:

because its not in the data

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?

Answers

Answer:

the first graph is the answer

Step-by-step explanation:

A!!!

Answer:

A

Step-by-step explanation:

find H.C.F of 2x+4 and x^2-4​

Answers

Answer:

(x+2)

Step-by-step explanation:

(2x+4) = 2(x+2)

x^2-4 = (x+2)(x-2)

H.C.F = (x+2)

Hope this helped!

Factor each expression separately.

2x + 4 becomes 2(x + 2).

x^2 - 4 becomes (x - 2)(x + 2).

The highest common factor is (x + 2).

4x = 7 [x3] help meh

Answers

Answer:

x = 0

Step-by-step explanation:

4x = 7(3x)

4x = 21x

-4x   -4x

17x = 0

10x+36-38x-47 I don't understand this question i am so confused please explain i would be really thankful.

Answers

-28x-11

Step-by-step explanation:

10x-38x=-28x

+36-47=-11

so the answer is -28x-11

which equation represents the vertical line passing through (7,-3)
A. x=-3
B. y=-3
C. x=7
D. y=7

Answers

Answer:

B- y=-3

Step-by-step explanation:

What is the missing angle? *

PLS I NEED HELP DUE IN 10 MINS

Answers

Answer:

80

Step-by-step explanation:

a triangle is 180 degrees in all 60+40 is 100 so by that you can tell its 80

I need this asap

What is the slope of this graph?

A: 3

B: - 1/3

C: 1/3

D: -3

Answers

Answer:

d, -3

Step-by-step explanation:

Order the set of integers from greatest to least.



{8, 32, 55, 32, 19, 3

Answers

Answer:

55,32,32,19,8,3

Step-by-step explanation:

Answer:

55,32,32,19,8,3

Step-by-step explanation:

Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)

Answers

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

Write and evaluate the expression. Then, complete the
statements.
Miguel gave away five of the puppies.
Evaluate when p = 7.

Answers

Answer:

Step-by-step explanation:

Answer:First, write the expression

✔ p – 5

.

Second,

✔ substitute

7 in for the variable, p.

Third,

✔ simplify

by

✔ subtracting

7 and 5.

The answer is

✔ 2

Step-by-step explanation:

someone please help look at picture

Answers

-16744323 or 32893-2^24

Write the equation in Standard Form. y = -2x + 5*
0 2x + y = 5
O 2x + y = -5
O 2x - y = 5
O-2x + y = 5

Answers

Answer:

2x + y = 5

Step-by-step explanation:

Standard form is:

ax + by = c

Given

y = -2x + 5

Converting to standard form

y = -2x + 5 2x + y = 2x - 2x + 52x + y = 5

Correct option is the first one

help me solve:

-2*(-10)/(-5)*2-28+(-9)

Answers

Answer:

-45

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

-8-28+(-9)

-8-28-9

calculate the sum of the NEGATIVE NUMBERS

Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are shown in the table below PLS HELP QUICK

Answers

Answer:

I think it's 12

Step-by-step explanation: i'm sorry if you got it wrong  have the same question to.... sorry

Answer:

it is 12

Step-by-step explanation:

What is the answer to this question?
will get awarded with brainliest!
(6x-7)(2x+5)

Answers

12x^2 + 16x - 35
hope it helps

If f(x) = (2x + 1)2 – 3 and g(x) = 2(2x2 + 3), which statement is true?
A. f(-5) = g(4)
B. f(3) = g(0)
C. f(1) = g(1)
D. f(-3) = g(-2)

Answers

Answer:

d

Step-by-step explanation:

becasuse when you  multiply all that stuff since x is the is y fancy way o f saying

From the calculations, we can see that the true statement is  f(-3) = g(-2): Option D is correct.

Given the following functions

f(x) = (2x + 1)²– 3 and g(x) = 2(2x² + 3),

According to the last option.

f(-3) = (2(-3) + 1)²– 3

f(-3) = (-6+1)² - 3

f(-3) = (-5)² - 3

f(-3) = 25 - 3

f(-3) = 22

For g(-2)

g(-2) = 2(2x² + 3),

g(-2) = 2(2(-2)² +3)

g(-2) = 2(8+3)

g(-2) = 2(11)

g(-2) = 22

Hence from the calculations, we can see that the true statement is  f(-3) = g(-2)

Learn more here: https://brainly.com/question/23207600

(3,-7); m=4/3 write in standard form

Answers

Answer:

In standard form it will be 4x-3y=33

Step-by-step explanation:

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