Suppose both factors in a multiplication problem are multiples of 10. Why might the number of zeroes in the product be different than the total number of zeroes in the factors?

Answers

Answer 1

Answer:

Multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.

Step-by-step explanation:

Let the first five multiples of ten be

10*1= 10

10*2= 20

10*3=30

10*4=40

10*5= 50

Suppose we chose 20 and 50.

Now multiplying 20 with 50 we get

20*50= 1000

IF we count the total number of zeros in the factors ( 20 and 50) they are 2.

But the number of zeros in the product (1000) are 3.

This is because when we multiply 2 with 5 we get 10 which adds to the existing number of zeros ( i.e 2) and we get a total of 3 zeros.

And multiplying 10 with 50 we get

10*50= 500

IF we count the total number of zeros in the factors ( 10 and 50) they are 2.

But the number of zeros in the product (500) are also 2.

This is because when we multiply 1 with 5 we get 5 which does not add to the existing number of zeros ( i.e 2) and the total number of zeros remain the same.

Similarly multiplying 20 with 30 we get

20*30= 600

IF we count the total number of zeros in the factors ( 20 and 30) they are 2.

But the number of zeros in the product (600) are also 2.

This is because when we multiply 2 with 3 we get 6 which does not have a zero and the total  number of zeros remain the same as in the factors.

So we see that multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.


Related Questions

What is the solution to this equation?
1/2x-7=1/3(x-12)
x=

Answers

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

By rearranging and multiplying by 6 at the end:

[tex]\frac{1}{2}x - 7 = \frac{1}{3}(x-12)\\\frac{1}{2}-7 = \frac{1}{3}x - 4\\\frac{1}{2}x - \frac{1}{3}x = -4 + 7\\(\frac{3}{6} - \frac{2}{6})x = 3\\\frac{1}{6}x = 3\\x = 3 \cdot 6 = 18[/tex]

Solve for x:
- 3x – 9= - 1

Answers

X = -8/3




Djchbcdsndosndh

Answer:

- 8 / 3

Step-by-step explanation:

-3x= - 1 + 9

-3x = 8

x= - 8/3

g(x) = -f(x + 3)?
what is the vertex?

Answers

The vertex would be (-3, 0)

Which represents the solution set of 5(x+5) <35?
X<12
X>12
X<16
X>16


Answers

Answer:

I got x<2 but that's not an option

Step-by-step explanation:

5(x+5) <35

5x+25<35

5x<10

x<2

Find the 9th term of the geometric sequence 9, -27, 81...

Answers

Answer:

a9= 59049

Step-by-step explanation:

Find the r.

R= 81/-27

R= -3

a1= 9

a2= -27

a3= 81

a4= 81*-3= -243

a5= -243*-3= 729

a6= 729*-3= -2187

a7= -2187*-3= 6561

a8= 6561*-3= -19683

a9= -19683*-3= 59049

2/3(x+6)=-8 whats the value of x?

Answers

Answer:

x=-18

Step-by-step explanation:

Answer:

The answer is -18

Step-by-step explanation:

STEP 1:

[tex]3 \times \frac{2}{3} (x + 6) = 3( - 8)[/tex]

2(x+6) = -24

______________________________________

STEP 2:

Divide both sides by 2:

[tex] \frac{2(x + 6)}{2} = \frac{ - 24}{2} [/tex]

________________________________

STEP 3:

Simplify:

[tex]x + 6 = - 12[/tex]

Subtract 6 from both sides:

[tex]x + 6 - 6 = - 12 - 6[/tex]

________________________________

STEP 4:

[tex]x = - 18[/tex]

Therefore, your answer is -18.

Ask more questions if you don’t understand! :)

The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.

Answers

Honestly bro I wish I could help you but I just hope someone comes along and can help. Good luck!

Answer: y – 3 = –1/7(x – 3)

You have to fill a vase 3/4 full, you have a height of 13in and a radius of 6in how much water would need to be poured in order to fill the vase. Need answer very soon, please

Answers

Answer:

Step-by-step explanation:

At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase? Follow • ... Get the right answer, fast. ... No packages or subscriptions, pay only for the time you need.

In 10 years time a father will be twice as old as his daughter. 10 years ago he was six times as old as his daughter. How old is each now?

Answers

Answer: the daughter is 15 and the dad is 40

i think unless my math is wrong

Step-by-step explanation:

What question do you ask a basketball player from Indiana?

Answers

9514 1404 393

Answer:

  WHOOSIER COACH

Step-by-step explanation:

Linear pairs are supplementary. Vertical angles are congruent. An angle is the sum of its parts.

(a) C: supplementary to 138°, 180° -138° = 42°

(b) O: congruent to 138°

(c) R: supplementary to 32°, 180°-32° = 148°

(d) H: congruent to 32°

(e) S: complementary to 28°, 90° -28° = 62°

(f) O: supplementary to 122°, 180° -122° = 58°

(g) W: congruent to 122°

(h) C: supplementary to 28°, 180° -28° = 152°

(i) I: supplementary to 60°, 180° -60° = 120°

(∠TSW) E: supplementary to a right angle: 180° -90° = 90°

(∠TSU) O: half the complement of 20°, (90° -20°)/2 = 35°

(∠USW) H: complement of ∠TSU, 90° -35° = 55°

(∠RSV) A: supplement of ∠VSW = 180° -35° = 145°

__

The desired order of the letters corresponds to the sequence of angles ...

  122°, 55°, 58°, 35°, 62°, 120°, 90°, 148°, 71°, 152°, 138°, 145°, 42°, 32°

  WHOOSIER_COACH

Please help I uploaded a picture

Answers

Answer:

the second one

Step-by-step explanation:

first one is divide

third one is well add

last is add aswell

it would be B. whenever there is an exponent inside the parentheses and on the outside, you will always multiply

Subtract f(x) and g(x) when:
f(x) = 3.2 + 2x - 8 and g(x) = 72 – 8x + 4
f(x) - g(x) =

Answers

Step-by-step explanation:

The answer is

[tex]10x - 80.8[/tex]

solve for the missing side: simplify the radical ​

Answers

Answer:

[tex]x=8\sqrt{5}[/tex]

Step-by-step explanation:

I will assume the following:

You know how to use  the quadratic formulaYou know how to simplify radicalsYou know how to use the pythagorean theorem.

The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.

Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)

Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.

Now with the big triangle. I will set up one last equation. See attachment 4.

Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.

ez pts



Write in radical form, then simplify the resulting radical and rationalize the denominator if need be:

312

Answers

Answer:

well first 312 in radical form is  √312 and that simplified is 2√78 or 17.66352173

Step-by-step explanation:

if f (x) = -x - 7 what is f (-3)
Plz help

Answers

Answer:

f(-3) = -4

Step-by-step explanation:

f(-3) = -(-3) - 7

      = 3 - 7

      = -4

The accompanying diagram shows two triangles. Which proportion could be used to solve for x ?

Answers

Answer:
A) 32/x=12/15

Explanation:
When we compare 32/x, we’re looking the ratio between the two side lengths on the first triangle. When we compare 12/15, we’re looking at the ratio between the two side lengths on the second triangle. These ratios must be equal to each other since the two triangles are similar, and we can use this to solve for x.

I hope this helps! Please comment if you have any questions.

Write the word sentence as an equation. A number y decreased by 9 is 8 An equation that represents this sentence is​

Answers

Answer:

y-9 = 8

Step-by-step explanation:

pls help has to be in a fraction​ ill give brainliest.

Answers

Answer:

-5/4

Step-by-step explanation:

slope = -4 - (-29) / -10 - 10

slope = 25 / -20

slope = -5/4

The first photo in the collage is what I should make a copy of, anyone has any knowledge on how to add the numbers apart of the spreadsheet and the letters? ​

Answers

Answer:

uh no new copy

Step-by-steYou can make a new table to add the amounts and copy the pre-existing amounts or just add a new bar, but I guess it will be better if you just do it again.

You can make a new table and add the amounts and copy the pre existing amounts or just add a new bar but I think it would be best if you just make it again

2x + 3 + x2, forx: 4

Answers

the answer should be 19

Ken is cutting wooden pieces that each measure 2/3 ft long. If ken is cutting from a piece that measures 9 1/3 ft, how many pieces can ken cut

Answers

Answer:

14 pieces

Step-by-step explanation:

Given that the total length available is 9 1/3 ft long and the pieces being cut is 2/3 ft long, the number of pieces that may be cut may be computed by dividing the total length by the length of each piece

= 9 1/3 / 2/3

= 28/3 * 3/2

= 14 pieces

Use the graph to write a linear function that relates y to x.

y=

Answers

Answer:

y= -3x+1

Step-by-step explanation:

y=mx+b

find m: (y2-y1)/(x2-x1)

pick any two points: (-1,4) and (0,1)

plug them in: (4-1)/(-1-0)= -3=m

b is the y intercept which is 1=b

plug these into the equation for a line y=mx+b

y=-3x+1

I NEED HELP FAST PLEASE :)

Answers

Answer:945

Step-by-step explanation:

Carlos has a $20 bill. He wants to buy his mom something for her birthday. He uses part of the
money to buy a some flowers. The flowers cost $15.99. He also wants to use the rest of the money
to buy some chocolate candies. Each chocolate costs $0.50. Which of these inequalities describes
the situation, where n is the number of chocolates Carlos is able to buy?
A) 15.99 -0.50n S 20
B) 15.99 -0.50n 20
C) 15.99 +0.50ns 20
D) 15.99 +0.50n > 20

Answers

Answer:

D) $15.99 +$0.50n> $20

Step-by-step explanation:

Find the slope and y-intercept of the line represented by the table

Answers

Answer:

slope = 3, y intercept = 1

Step-by-step explanation:

Teri earned $18.25 an hour at the semiconductor plant. The payroll deductions reduced her paycheck by $182.50. If her first weekly paycheck was at least $547.50 after the deductions, how many hours did she work that week?

Answers

Answer:

40 hours

Step-by-step explanation:

did 18.25*40 then subtracted 182.50 and it equaled 547.50

6. Allison wants to start saving for college. She got $250 in birthday money
and plans to save $50 a week from babysitting. Which equation could be
used to determine how many weeks it will take for her to save $1000? *

Answers

1000 minus 250 equals 750.00 now 750 divided 50.00 answers is 15 weeks. In 15 weeks she will have 1000 saved.

Guys I need this in like 3 mins help
Me

Answers

Answer:

A) M =5

B= $2

hope it helped!

Step-by-step explanation:

I think.

j – 18 = 43 what's the answer guys

Answers

Answer:

61

Step-by-step explanation:

We know from the equation 43 is 18 less then j. Therefore, if we add 18 to 43, we will get the value of j.

43 + 18 = 61

So first you add 43 and 18 cause the original number is that total - 18 and you get 61

please help, and i will mark you BRAINLIEST
Solve:
A. 27
B. 343
C. 729
D. 216

Answers

Answer:

729

Step-by-step explanation:

9 x 9 = 81

81 x 9 = 729

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