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

Tom's recipe requires 8 cups of sugar to make 40 sugar cookies. How many
sugar cookies will 120 cups of sugar make? *

Answers

8 cups/ 40 cookies

1 cup/ 5 cookies
x 120
—————————
120 cups makes 600 sugar cookies
He beat me to it :(

I’m sad

Pls help it's due tonight​

Answers

Answer:

6.25 colonies of bacteria per +pH change from 7 to 9

Step-by-step explanation:

It seems to go from 57.5 to 70 or maybe 57 or 58

Either way I will go with my guess of 57.5

Rate of Change= (70-57.5)/(9-7)=(12.5)/(2)=6.25 rate of change for colonies of bacteria per positive pH change from 7 to 9

Suppose Jerome reads the following numbers of pages each day. Will he meet his goal of reading at least 85 pages by the end of the day Friday?

Answers

Answer:

Step-by-step explanation:

Jerome has already read 50 pages of a novel and read p pages each day from Monday to Friday.

If Jerome read at least 85 pages by the end of Friday, inequality will be,

50 + 5p ≥ 85

If Jerome reads 6 pages each day,

For p = 6,

Inequality will be,

50 + 5(6) ≥ 85

80 ≥ 85

It's not true.

Therefore, he will not meet his goal.

If p = 7,

Inequality will be,

50 + 5(7) ≥ 85

85 ≥ 85

It's true.

Therefore, he will meet his goal.

If p = 8,

Inequality will be,

50 + 5(8) ≥ 85

90 ≥ 85

It's true.

Therefore, he will meet his goal.

1. Will not

2. Will

3. Will

I HAVE 5 MIN TO TURN THIS IN!!!! PLEASE HELP ME!!!
IT'S IN THE IMAGE BELOW

Answers

Answer:

a.  x = 8 yearsb.  52,000

Step-by-step explanation:

company A = 28,000 + 3,000 (x)

company B = 36,000 + 2,000 (x)

where x = no. of years.

company A = company B

28,000 + 3,000 (x) = 36,000 + 2000 (x)

3,000 (x) - 2,000 (x) = 36,000 - 28,000

1,000 (x) = 8,000

x = 8,000

     1,000

x = 8 years

plugin value of x = 8 into company A and B

company A = 28,000 + 3,000 (8)

company A = 52,000

company B = 36,000 + 2,000 (8)

company B = 52,000

1/2(-4+6n)=1/3n+2/3(n+9)

Answers

The correct answer is n=4:)

Answer:

n= 4

Step-by-step explanation:

32x + 342x thhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

374x

brrrrrrrrrrrrruhhhhhhhhhhhhhh

Answer:

374x

Step-by-step explanation:

Just add 32 and 342 together

32 + 342

374

Then add the x back on

374x

Hope this helped :)

ASAP answer it please and thank uuu!!!!!

Answers

Answer:

As of what I see, your answer is all of them.

The shadow of an object varies directly with its height.The shadow of a 25 ft trees is 6 ft.How long is the shadow of an 18 ft tree

Answers

Answer:

Well i got 4.32 but im not completely sure

Step-by-step explanation:

12. DEDUCE The graph of a linear
equation is in the form y = mx + b.
Are there any values of m that would
result in the graph not representing
a function? Explain your ans
answer.
Please help it’s due today I will mark you brainless

Answers

Answer:

en contexto, ora al de arriba pa que te ayude porque nose nada xd

Step-by-step explanation:

What is y? (look at the picture I attached, thank you!)

Answers

Answer:

[tex]y = \frac{19}{5} [/tex]

Step-by-step explanation:

[tex] \frac{2y - 4}{y + 7} = \frac{1}{3} [/tex]

or, 3(2y-4) = 1(y+7)

or, 6y-12 = y +7

or, 6y-y = 7+12

or, 5y = 19

or, y = 19/5

Answer:

y=19/5

Step-by-step explanation:

Hope this helps!

At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch

Answers

Answer:

The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t

Step-by-step explanation:

The given parameters are;

The initial velocity of the rocket, v = 138 feet per second

The vertical motion formula = h(t) = 0.5·a·t² + v·t + s

The gravitational constant, a = -32 ft./s²

s = The initial height of the rocket

Therefore, he have;

The height of the rocket, t seconds seconds into launch is given as follows;

Height = h = h(t) - s = 0.5·a·t² + v·t

Substituting the known values gives;

h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t

h = -16·t² + 138·t

The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.

Jennifer walks 3/4 mile in 1/4 hour, and Gavin walks 1/8 mile in 1/12 hour. Part A. What is Jennifer's walking rate, in miles per hour? Part B. What is Gavin's walking rate, in miles per hour? Part C. Jennifer and Gavin both plan on walking 4.5 miles, and they want to finish at the same time. If Gavin starts walking at 1:00 pm, at what time should Jennifer start walking? Use words, numbers, and/or pictures to show your work. Write your answer(s) on the paper provided.

Answers

Answer:

Step-by-step explanation:

Part A: 3/4 divided by 1/4= 3/4 * 4/1 = 3, Jennifer walks 3 miles per hour.

Part B: 1/8 divided by 1/12= 1/8 * 12/1 = 1.5 or 1 and 1/2 miles per hour

For Part C I dont know, Sorry guys

Help!! I will mark brainiest!!

Answers

Answer:

b = 148.5052112

Step-by-step explanation:

To find the value of b we will use the trigonometry functions

∵ The triangle is a right triangle

∵ The measure of one of its acute angles = 68°

∵ The length of the side opposite to the angle of measure 68° is b

∴ The opposite side = b

∵ The length of the side adjacent to the angle of measure 68° is 60

∴ The adjacent side = 60

∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]

∴ tan(68°) = [tex]\frac{b}{60}[/tex]

→ Multiply both sides by 60 to cancel the denominator of the right side

∴ 60 × tan(68°) = b

∴ 148.5052112 = b

b = 148.5052112

Answer:

b = 148.5052112

Step-by-step explanation:

The product of the ages of two adults is 572. Find their ages.

Answers

Answer:

?

Step-by-step explanation:

If you divide 572 by 2 you get 286...

Answer:286

Step-by-step explanation: thats a real big number but half of 572 is 286 and you can figure that out by diving by 2

A rectangle tabletop has an area of 28 1/8 square feet and a length of 6 1/4 feet. What is the width of the tabletop?

Answers

I believe it’s 4 1/2 . Sorry if I’m wrong

Using the formula

A=wl

Solving for w

w=A

l=28

6≈4.66667 or 4.67

hope it helps! :3

Also, I want to point out the fact that your profile picture is Todoroki. I love him. He is my favorite character in mha. It is nice to meet a fellow fan. Especially since I had to deal with my friend saying the show sucks...

Kale is hiking 2,345 ft above sea level. The peak of the mountain he is climbing is 3,283 feet above sea level . What is the vertical distance between kale and the mountain peak ?

938 ft
942 ft
1,142 ft
5,628​

Answers

Answer:

a

Step-by-step explanation:

Answer:

so A. is the correct answer

Step-by-step explanation:

If Kale is at 2345 feet and needs to reach 3283, he will need to travel another 938 feet.

Tom bought 3 boxes of books at a yard sale. If each box had 2 books how many books did he Buy ?


i will be giving brainliest.

Answers

Answer:

6

Step-by-step explanation:

2 books in each box.

There are three boxes

2 times 3 equals 6

After 8 months, you have been able to save $937. You have the ability to save $130 per month. Build a model and write an explanation of the y- intercept. What is the rate of change?

Answers

Given:

After 8 months, you have been able to save $937.

You have the ability to save $130 per month.

To find:

The model for the situation and y-intercept and rate of change.

Solution:

Let y be the ability to saving after x months.

Ability to save in one month = $130

Ability to save in x months = $130x

So, total ability is

[tex]y=130x+b[/tex]      ...(i)

where, b is initial savings.

After 8 months, you have been able to save $937.  So, the point is (8,937).

Put x=8 and y=937 in (i),

[tex]937=130(8)+b[/tex]

[tex]937=1040+b[/tex]

[tex]937-1040=b[/tex]

[tex]-103=b[/tex]

So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.

Put b=-103 in (i).

[tex]y=130x+(-103)[/tex]  

[tex]y=130x-103[/tex]

On comparing with slope intercept form, we get

Slope = 130 and y-intercept = -103

Therefore, the slope is 130 and y-intercept is -103.

Answer this if u love yo mama

Answers

Answer:

the answer 50

Step-by-step explanation:

this is because of the triangle therom thing which is all triangles are equal to 180 degrees which means you gotta add 35+95 which gives 130 then subtract 180-130 which equals 50 and thats the missing angle.

Answer:

50

Step-by-step explanation:

'Cause I love my mama UnU

Translate the sentence six less than the product of four and a number is -2 into an equation

Answers

Answer:

4x-6=-2

Step-by-step explanation:

This is the mathematical form of the equation.

(2,-1),(4,5),(6,15),(8,29),(10,47) write a linear equation that represents y as a function of x

Answers

Answer:

Line ____        Ear

m^2= 100, n^2 = 400, k^2=1600. What is
the greatest value of 2m + 3n + 4k = ?
A) 270 B) 260 C) 250 D) 240

Answers

Answer:

D).

Step-by-step explanation:

usually you got = 2(10)+3(20)+4(40) =240

hurryyyyyyyyyyy 5/6 - 1/4=
yes subtraction

Answers

Step-by-step explanation:

(5x4)/(6x4) - (1x6)/(4x6)

=20/24 - 6/24

= (20-6)/24

=14/24

=7/12

give me brainliest

If you sleep 33% of the year, how many months are spent sleeping?
ranswer

Answers

Answer:

3.96 months or close to 4 months

Step-by-step explanation:

[tex]\frac{33}{100} *\frac{x}{12}[/tex]

Cross multiply

396 = 100x

Divide both sides by 100 to get x alone

396/100 = 100x/100

3.96 = x

Hope this helps and pls do mark me brainliest:)

Answer:

3.96 or 4 rounded

Step-by-step explanation:

4 because is you multiply 12*.33 = 3.96

If you round it is 4 months.

Hope this helps!!

81a + (- 18)
how do you factor the expression

Answers

Answer:

9(9a-2)

Step-by-step explanation:

81a + (-18)

= 81a - 18

= 9 (9a - 2)

Answer:

9(9a-2)

Step-by-step explanation:

Simply 8(x-3)+12(x+2)

Answers

Answer:

20x

Step-by-step explanation:

First.... distribute the 8 and 12 to the perenthesis next to them. Then, all like terms. The final answer will be 20 * x or 20x.

WILL MAKE BRAINLIEST! Let sin 21 = 0.358. What is the value of x for cos x = 0.358

Answers

Answer:

The value of x is 69°

Step-by-step explanation:

In a right angle triangle, if m and n are the two acute angles on it, then

m + n = 90° sin(m) = cos(n)cos(m) = sin(n)

That means if sin(m) = cos(n), then m + n = 90°

Let us use these facts to solve the question

∵ sin(21°) = 0.358

∵ cos(x°) = 0.358

→ That means sin(21°) = cos(x°)

sin(21°) = cos(x°)

→ By using the facts above

21 + x = 90°

→ Subtract 21 from both sides

∵ 21 - 21 + x = 90 - 21

x = 69°

The value of x is 69°

What is the ratio of 120%

Answers

Answer:

5: 6

Step-by-step explanation:

becuase it was basically 100:120 but divide it by 20 and thats  how you get 5;6

What is the sign of 9(-0.5)

Answers

Hi

For a multiplication , law  sign state : if the two terms of multiplication are of the same sign, result is  positive.  Otherwise, it's negative

here  9 is  positive, and  -0.5  negative.  The two terms have  contrary signs, then the result will be  negative.  

-10-2r=-3r-7+r how many solutions does this equation have will mark brainlest

Answers

Answer:

no solution

Step-by-step explanation:

Other Questions
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