Explain how to multiply the following whole numbers 21 x 14

Answers

Answer 1

Answer:

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

________

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]

Step-by-step explanation:

Given

[tex]21\:\times \:14[/tex]

Line up the numbers

[tex]\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}[/tex]

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)

Multiply the top number by the bolded digit of the bottom number

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

Multiply the bold numbers:    1×4=4

[tex]\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}[/tex]

Multiply the bold numbers:    2×4=8

[tex]\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}[/tex]

Multiply the top number by the bolded digit of the bottom number

[tex]\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}[/tex]

Multiply the bold numbers:    1×1=1

[tex]\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}[/tex]

Multiply the bold numbers:    2×1=2

[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}[/tex]

Add the rows to get the answer. For simplicity, fill in trailing zeros.

[tex]\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}[/tex]

adding portion

[tex]\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}[/tex]

Add the digits of the right-most column: 4+0=4

[tex]\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}[/tex]

Add the digits of the right-most column: 8+1=9

[tex]\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}[/tex]

Add the digits of the right-most column: 0+2=2

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]

Therefore,

[tex]\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}[/tex]

________

[tex]\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}[/tex]


Related Questions

What’s the answer to this ?

Answers

Answer:

4th one

Step-by-step explanation:

if you add them

PLEASE HELP ASAP!!!-

And the number is ______

a number formed with straight lines only.

a number with only one of its digits are greater than 4.

a 2-digit odd number.

a number found as the date each month on the calendar.​

Answers

Answer:

43

Step-by-step explanation:

I think if I am wrong so sorry

At his most recent medical checkup, a boy was 40 inches tall. Currently, he is 10% taller. How tall is the boy now?

Answers

Answer:

might be 44inches but not sure

Answer:

10% means the boy is 50 inches taller

solve the inequality
7y+2<5y+12

Answers

Answer:

y < 5

Step by step:

Step 1: Subtract 5y from both sides.

7y+2−5y<5y+12−5y

2y+2<12

Step 2: Subtract 2 from both sides.

2y+2−2<12−2

2y<10

Step 3: Divide both sides by 2.

[tex]\frac{2y}{2}[/tex]  < [tex]\frac{10}{2}[/tex]

= y < 5

Julio ​says, If you subtract 18 from my number and multiply the difference by −4​, the result is −20​. What is Julio​s ​number?

Answers

Answer:

Julio's number is 40

Step-by-step explanation:

"If you subtract 17 from my number and multiply the difference by negative 4​, the result is negative 92​.

n= number

(n-17)*(-4) = -92

distribute

-4 *n - 17*(-4) = -92

-4n +68 = -92

subtract 68 from each side

-4n +68-68 = -92 -68

-4n = -160

divide each side by -4

-4n/-4 = -160/-4

n = 40

Please help me solve question 2. Ignore my handwriting

Answers

Answer:

Step-by-step explanation:

7 x 6 x 4 x 4 x 3= 2016


1. Evaluate:
4(5) +3(7-2)
a. 25
C. 18
d. 40
e. -40

Answers

Answer:

35

Step-by-step explanation:

Simplify the following:

4×5 + 3 (7 - 2)

7 - 2 = 5:

4×5 + 3×5

4×5 = 20:

20 + 3×5

3×5 = 15:

20 + 15

| 2 | 0

+ | 1 | 5

| 3 | 5:

Answer: 35

Two similar triangles are shown on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle PQR is shown with vertex P on ordered pair negative 4, 2, vertex Q on ordered pair 0, 0, and vertex R on ordered pair 2, 6. A triangle P prime Q prime R prime is also shown with vertex P prime on ordered pair negative 2 and negative 1, vertex Q prime on ordered pair 0 and 0 and vertex R prime on ordered pair 1 and negative 3.

Which set of transformations has been performed on triangle PQR to form triangle P'Q'R'?

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of fraction 1 over 2 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis

Answers

Answer: Answer: A dilation factor of 1 over 2

Step-by-step explanation:

The smaller polygon is half the size of the original polygon

Answer:

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the y-axis

Step-by-step explanation:

jamil buys 4 books and some pens each book costs £5.95 each pen costs £2.35 the toal costs of the books and the pendulum is £37.90 work out how many pens jamil buys

Answers

Answer:

9.68

Step-by-step explanation:

it makes sense when u tink about ot

Answer:

Jamil buys 6 pens.

Step-by-step explanation:

Jamil buys 4 books and each book costs £5.95. With 5.95+5.95+5.95+5.95 = £23.80. We have the total price for the books. The total cost of books and pens is £37.90 and each pen costs £2.35. If we keep adding £2.35 to our £23.80, we will get £37.90.                                                                                       If we add 23.80+2.35+2.35+2.35+2.35+2.35+2.35 = £37.90. We now have our total amount, and the prices of the amount of books and pens Jamil bought. Jamil bought 6 pens as it equals to £37.90.

which inequality is shown in the graph

Answers

Answer:

hgyuu by 7vb j 8gv c ryuug

y=>-x-4

the line is solid and the graph is shaded above the line so the symbol is => the slope decreases by 1 so it is -x and the y-intercept is -4

At a recreation center, it costs $3 per hour to
rent a ping pong table and $12 per hour to rent
a bowling lane. At the same cost as renting a
bowling lane for 2 hours, for how many hours is
it possible to rent a ping pong table?

Answers

it is possible to rent 8 ping pong tables.

This is because if you are renting a bowling lane for 2 hours you would do 12+12 and that’s 24. You would then do 24/3 cause that’s the amount of the cost for 1 hour of the ping pong to rent and that would give you and answer of 8.
Hope that’s helps:)

The equation for this graph is y = x +

Answers

Answer:

y=3x+2

Step-by-step explanation:

The y intercept is 2. Therefore, we can plug 2 into b in y=mx+b because b is a y intercept.

The slope is 3 because if you go up 3 and right to the one (rise over run) the line will go through it. You can also make is -3 over -1 but that would just equal 3.

Hope this helps!

what is the slope and y-intercept of this graph?

Answers

Answer:

Slope is 2

Y-intercept is 7

Step-by-step explanation:

To find the slope we take any two points from the table

and use it in the formula :

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\[/tex]

we take the points (0,7) and (1,9)

now we put these points in the formula and it becomes

[tex]m=\frac{9-7}{1-0}[/tex]

[tex]m=2[/tex]

so our slope which is m is 2 and now for the y-intercept we use the standard equation

[tex]y=mx+c[/tex]

where c is the y-intercept

we use the value of m which is 2 and use any point from the table lets take (0,7)

[tex]y=mx+c\\7=(2)(0)+c\\7=c[/tex]

our y-intercept which is c is 7

so finally our slope is 2 and y-intercept is 7

PLEASE! ANSWER THIS! HELP! PLEASE!!!!!!!!!!!!!!

c. Expand: (tan(theta) - 1)^3​

Answers

Answer:

(tan(theta)-1)^3

= (tan(theta)-1)(tan(theta)-1)(tan(theta)-1)

= (tan^2(theta)-2tan(theta)+1)(tan(theta)-1)

= tan^3(theta)-2tan^2(theta)+tan(theta)-tan^2(theta)+2tan(theta)-1

= tan^3(theta)-3tan^2(theta)+3tan(theta)-1

Hope this helps :)

Lara makes 150 Ice Cream.
20% for the party
1/3 for her school friends.
What is the fraction that represents how many ice creams left with her?

Answers

Answer:

70

Step-by-step explanation:

20%=30

1/3=50

30+50=80

150-80

Solve for n.

n - 26 = -13
n =

Answers

Answer:

n= 13

Step-by-step explanation:

.................

Answer:

n=13

Step-by-step explanation:

because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer

For f(-6) = 22 , identify the input and the output.

Answers

Answer:

Step-by-step explanation:

Input is - 6 and Output is 22.

Solve the equation (3^x/2) (3^x/4) = 3^6

x =

Answers

Answer :
x=18√2 or -18√2

Step by step :
9/8x^2 =729
Divide both sides by 9/8
x^2 = 648
Take square roots
x = ±√648
x = 18√2 or -18√2

Answer:

x = √48

Step-by-step explanation:

[tex] ({3}^{ \frac{x}{2} } )( {3}^{ \frac{x}{4} }) = 3 {}^{6}[/tex]

[tex] {3}^{ \frac{x}{2} \times} {}^{ \frac{x}{4} } = 3 {}^{6} [/tex]

[tex]3 {}^{ \frac{ {x}^{2} }{8} } = 3 {}^{6} [/tex]

[tex] \frac{ {x}^{2} }{8} = 6[/tex]

[tex] {x}^{2} = 6 \times 8[/tex]

[tex] {x}^{2} = 48[/tex]

[tex]x = \sqrt{48} [/tex]

Lane is making accessories for the soccer team. He uses 721.54 inches of fabric on headbands for 41 players and 2 coaches. He also uses 361.21 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player? Please answer quick pls

Answers

Answer:

16.78 inches of fabric was used for headbands for each player and 8.81 inches of fabric was used for wristbands for each player

Step-by-step explanation:

Lane is making accessories for the soccer team.

For headbands

He uses 721.54 inches of fabric on headbands for 41 players and 2 coaches.

Hence:

Let the number of inches used for headbands be represented by x

41x + 2x = 721.54

43x = 721.54

x = 721.54/43

x = 16.78 inches

Hence the number of inches used to make head band for 1 player is 16.78 inches

He also uses 361.21 inches of fabric on wristbands for just the players.

We have 41 players hence:

41 players = 361.21 inches

1 player = x

41 × x = 1 × 361.21 inches

x = 361.21 inches/41

x = 8.81 inches

8.81 inches of fabric was used for wristbands for each player.

Hence:

16.78 inches of fabric was used for headbands for each player and 8.81 inches of fabric was used for wristbands for each player

please help im struggling so badly

Answers

Answer:

100

Step-by-step explanation:

j

2) Kami's mom gave her $85 to go shopping. If she spent $118. How
much of her own money did Kami use?
G. $203 H. $33 1. $27 J. $210​

Answers

Answer:

33

Step-by-step explanation:

118 - 85 = 33

Answer:

$27

Step-by-step explanation: because $85 plus $27 equals $118. Hope this helps!

Find the inverse of the function. *
g(x) = VX-3
A.g-1(x) = (x - 3)2
B. 9-1(x) = 3 + x
C.g-1(x) = (x + 3)2
D.9-1(x) = 3 - Vx

Answers

Times 3 so mutpliy 3

Help me please! I’ll give brainliest

Answers

Answer:

The Answer is J because 1 1/2 or 1.5 times itself equals 2 1/4 or 2.25

Answer:

J

Step-by-step explanation:

It is the only answer choice in which the value increases.

What is the slope of this line?

Answers

Answer:

4/5

Step-by-step explanation:

3+8(2)-5
The answer choices are
8

22

14

17

Answers

Answer:

the answer is 14 I think,hope that helps!

6. The side of a square field is 125 m. Thereare two paths runninginside it along the
sides, crossing each other at thecentre.The width of thelengthwise path is 3 m
and the width of the breadthwise path is5 m. Find the areas of thetwo pathways.​

Answers

Answer:

h

Step-by-step explanation:

h^2=p^2+b^2

200=p^2+b^2

What is the slope of the line that passes through the points (3,-2) and (1,5)?​

Answers

Answer:

-7,2 I believe :)

Step-by-step explanation:

Rise over run

Put into an equation, y1-y2/1-x2

so its

-2-5/3-1 which gives you the answer of -7/2 :)

Answer:

m= 7/-2

Step-by-step explanation:

Use the slope formula.

y2 - y1 = 5 -- 2 = 7

x2 - x1 = 1 - 3 = -2

m = 7/-2

Cual es la fracción de 0.7

Answers

Answer:

La fracción de 0.7 es 7/10

A music store marks up the instruments it sells by 30%/ If the store bought a guitar for $45, what will be its store price?

Answers

$58.5

PLEASE MARK ME BRAINLIEST

3 2/7−(−5/7) mixed number in simplest form.

Answers

Answer:h

Step-by-step explanation:

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