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

can someone please help me on this

Answers

Answer:

15.7 inches

Step-by-step explanation:

A clock is a circle .  It tells us that the radius of the circle is 2.5 inches, and it is asking for the circumference.  Therefore, we can use the equations for a circle to solve for the circumference.

[tex]Circumference=2\pi r\\C = 2 \pi (2.5)\\C = 15.708[/tex]

Sally puts $2,500 in a bank account. She takes it out 10 years later and with interest, now has $4,100. What is the percent change?

Answers

Answer:

The percentage increase is 64%

Step-by-step explanation:

Answer:The percentage increase is 64%

Step-by-step explanation:

Can someone explain this to me

Answers

Answer:

54°

Step-by-step explanation:

The angles inside of a triangle will equal a sum of 180. So you use the equation X= 180-(80+46)

please brainliest

54 degrees




Hope I helped :)

Will give 50 points and brainliest if answer this question, due in 20 minutes.

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.

Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.

Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.

Answers

Answer:  A.) The area of the base is 16 pi cm²,

B.) The number of cubic centimeters is 112 pi cm³

C.)  The volume is  351.68 cm³

Step-by-step explanation:

Area is πr², 4 squared is 16.

V = bh

Multiply the area of the base by the height

16π × 7 = 112pi

25.37 x 3.8
pls help

Answers

Answer:

96.406 :)

Step-by-step explanation:

Answer:

calculator

Step-by-step explanation:

i

A Chrome book is on sale for 30 % off the original price plus
10% sales tax. If the Chrome book originally price is $360.
What is the final sale price that you will pay for the Chrome
book?

Answers

Answer:

288

Step-by-step explanation:

because 20 percent off is 252 and adding the sales tax which is 36 so you get 288

What is
5
1
2
+
2
1
7
?

A.
7
2
9
B.
7
5
14
C.
7
3
7
D.
7
9
14

Answers

Answer:

A. 729

Step-by-step explanation:

Answer:

A: 729

Step-by-step explanation:

512+217= 729

please help me will give brainliest

Answers

Answer:

m = [tex]\frac{13}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{12}[/tex] = [tex]\frac{m-4}{4}[/tex] ( cross- multiply )

12(m - 4) = 4 ( divide both sides by 12 )

m - 4 = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex] ( add 4 to both sides )

m = 4 [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]

A box has a length of 8 centimeters, a width of 7 centimeters, and a height of 5 centimeters. What is the total volume of the box?

A 616161 cubic centimeters

B 969696 cubic centimeters

C 250250250 cubic centimeters

D 280280280 cubic centimeters

Answers

The answer might be A or B I don’t know.

I need help..Please make it correct..

Answers

Answer:

11/13

Step-by-step explanation:

3/13, 5/13, 7/13, 9/13, 11/13

3/13

3/13 + 2/13 = 5/13

5/13 + 2/13 = 7/13

7/13 + 2/13 = 9/13

9/13 + 2/13 = 11/13

three components of the term​

Answers

Answer: “5” is an exponent

Step-by-step explanation:

Noah is buying a pair of jeans and using a coupon for 10% off. The total price is $56.70, which includes $2.70 in sales tax. Noah's purchase can be modeled by the equation:
x - 0.1x + 2.70 = $56.70

Answers

$56.70 take away the tax first which brings you to $54 then 54x.10% is 5.40 so take 5.40 away from $54 you then have $48.60 then you can add the tax back in +2.70 = $51.30

2x25 distributive property

Answers

Answer:

2 x 25 is 50

Step-by-step explanation: whats  distributive property cause i forgot

Answer:

50

Step-by-step explanation: You can't expand it farther from there. It doesn't have parenthesis, it just has a two numbered equation with a multiplication symbol.  

PLEASSSE get this this circle bs mad wack

Answers

Answer:

x = 6

Step-by-step explanation:

The inscribed angle is half the measure of its intercepted arc, that is

3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

Answer:

x = 6

Step-by-step explanation:

The inscribed angle is half the measure of its intercepted arc, that is

3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

Solve 3x - 5 = 16
Write your solution starting with x= .

Answers

Answer:

x =7

Step-by-step explanation:

To solve this, you must get x by itself.

3x-5 = 16      1.  Add 5 on both sides

3x = 21         2. Divide by 3 on both sides

x = 7

Solve for x.


−12x+13>35


Drag and drop a number or symbol into each box to correctly complete the solution.

less or greater than

Answers

Answer:

the answer is 4

Step-by-step explanation:i hope im right sry if im not

The answer is 10 cause u divide the factors then regroup them and divide x by the number of your answers

Sonia is older than her brother Eddie.The sums of their ages is 38.The differences is 14

Answers

Answer:

Sonia is 26

Eddie is 12

Step-by-step explanation:

The actual amount of water in a test tube is 680 mL but when Tim measured it he erred by 3% too high. What measurement did Tim get

Answers

Answer:

Step-by-step explanation:

Answer:

700.4mL is the answer

Step-by-step explanation:

Short Answer
1. What is the domain and range for the parent function of g(x) = x+1?

Answers

Answer:

Domain= {XER}   Range= {YER}

Step-by-step explanation:

This is a line equation. Lines continue infinitely in both the horizontal direction and vertical direction, so that means that the domain and range are both a set of all real numbers.

I NEED HELP NOW!!!
Find the equation of the line.
Use exact numbers.

Answers

Answer:

y=-3x+7 i hope this helped

PLEASE HURRY TY:)))))):):);););)::):):):):):):):

Answers

ASA. Benebdbdbfbdvfvfvfv
End d f f

Mrs. brown has 8 more boys than girls in her class and has a total of 26 students. Determine how many girls and boys are in the class.

May I please get some help ASAP?

Answers

Answer:

There are 9 girls in the class and 17 boys in the class

Step-by-step explanation:

Set up a system of equations where b is the number of boys and g is the number of girls

b + g = 26

b = g + 8

Solve by substitution by substituting g + 8 as b into the top equation

b + g = 26

(g + 8) + g = 26

2g + 8 = 26

2g = 18

g = 9

So, there are 9 girls in the class. There are 8 more boys than girls, so add 8 to this to find the number of boys:

9 + 8

= 17

So, there are 17 boys.

There are 9 girls in the class and 17 boys in the class.

Answer: 9 girls 17 boys
since he has 8 more boys than girls.
The amount of girls 9
More than 8 so
9+8=17
So 17 plus the 9 girls would be 26 students

Whats 2-(-4) as an addition equation

Answers

Answer:

2+4

Two negatives cancel out for a positive. Think: subtraction is just finding the difference, the total difference between them would be the same as doing 2 + 4, or 6

For one acute angle θ of a right triangle, tan θ =2/[tex]\sqrt{x} 5[/tex]
. Find the other five trigonometric functions of θ.
Simplify radicals.

Answers

Step-by-step explanation:

hope this much is ok

___ welcome____

4.7 is what percent of 64?Round to the nearest hundredth​

Answers

Answer:3.008

Step-by-step explanation:

WILL MARK BRAINIEST IF RIGHT PLS ANSWER QUICK​

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

A) It deals with synthetic or superficial genes and traits like color, markings, size, and speed.

1) A city has a population of 21,517 based on a census taken in 1998. If the
population is expected to grow by 11% annually, what will the population
be in the year 2030? *
A None of these
B 606,900
C 492,573
D 517

Answers

Answer:

B, 606,900

Step-by-step explanation:

First you'll need to calculate the percentage growth after 32(2030 - 1998) years. to do this you'll need to find 1.11^32 or 28.205, 1.11 being the percentage growth per year and 32 being the number of years passed. then 21,517*28.205 = 606,899.8 which can be rounded to 606,900.

An item has a listed price of $95. If the sales tax rate is 3% ,how much is the sales tax (in dollars )

Answers

Answer:

2.85

you multiply the price by the rate translated to a decimal

so

95*.03

=

2.85

Can someone please help! I need this quickly and I’m really struggling!

Answers

Answer:

x = 4

y = 3

Step-by-step explanation:

2x - 3(x - 1) = -1

2x - 3x + 3 = -1

-x + 3 = -1

   - 3     - 3

(-1) -x = -4 (-1)

x = 4

y = 4 - 1

y = 3

Answer:

x = 4, and y = 3

Step-by-step explanation:

I hope i helped you! :D

A blueprint of a house has a scale of 1 in = 6 ft. the living room has dimensions (width x length) of 18 ft by 24 ft. What are the dimensions on the blueprint of the living room? (use 2 different proportions; one for width and one for length)



a
w = 108 in, l = 144 in
b
w = 3 in; l = 4 in
c
w = 3 in; l = 144 in
d
w = 3 in; l = 4 in

Answers

I would say the answer is w = 3 in; l = 4 in

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