1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hammer [34]
3 years ago
7

When finding the sum of 512 and –614, Josh used a left-to-right algorithm to compute the answer. He first added the hundred’s di

gits 500 + (–600) = –100 He then added the ten’s digits 10 + (–10) = 0 Lastly, he added the one’s digits 2 + (–4) = –2 His result was –100 + 0 + (–2) = –102 Is Josh’s answer correct? How else could Josh have computed the sum?
Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

<em>Yes, Josh's answer</em><em> is </em><em>correct</em><em> as </em><em> –102</em><em>  is the correct answer.</em>

<em>Josh have computed the sum as:</em>

<em>If the two integers having different signs, we need to subtract the absolute values (the digits without signs) and then just make sure to keep the sign of the number with the larger absolute value.</em>

     − 6 1 4

+    + 5 1 2

_________

     - 1 0 2

_________

Staring from right, − 614 + (+512) = -102 can be obtained by first adding 2 in negative 4, then adding 1 in negative 1, and lastly adding 5 in negative 6.

Ultimately we can say that Negative 614 plus Positive 514 equals Negative 102.

So, the sum of 512 and –614 is  -102 i.e − 614 + (+512) = -102

Step-by-step explanation:

This is how Josh used a left-to-right algorithm to compute the answer:

  1. Adding the hundred’s digits 500 + (–600) = –100
  2. Adding the ten's digits 10 + (–10) = 0
  3. Lastly, adding 2 + (–4) = –2
  4. End result –100 + 0 + (–2) = –102

<em>Yes, Josh's answer is correct. </em>

<em>How else could Josh have computed the sum?</em>

Before mentioning how Josh could have computed the sum. Here are some of the facts about sum of numbers:

  • The sum of two negative integers is a negative integer. For example,

Adding two negative integers: -3 and -5

-3 + -5 = -8

Please, you don't need to confuse the sign or symbol of the integer with the operation being performed.

Just note -3 + -5 = -8 which is read as is read as Negative 3 plus negative 5 equals negative 8.

  • The sum of two positive integers is a positive integer.

Adding two positive integers: ⁺3 and ⁺5

(⁺3) + (⁺5) = ⁺8

Please, you don't need to confuse the sign or symbol of the integer with the operation being performed.

Just note ⁺3 + ⁺5 = ⁺8 which is read as is read as Positive 3 plus positive 5 equals positive 8.

  • To add a positive and a negative integer

As +(+) are like signs, so they become a positive sign. Such as:

−5 + (+ 1) = −5 + 1 = -4

As

+ + ⇒ +  

+ − ⇒ −  

− + ⇒ −

− − ⇒ +

<em>If the two integers having different signs, we need to subtract the absolute values (the digits without signs) and then just make sure to keep the sign of the number with the larger absolute value.</em>

So, What is −614 + (+512)?

       

     − 6 1 4

+    + 5 1 2

_________

     - 1 0 2

_________

Staring from right, − 614 + (+512) = -102 can be obtained by first adding 2 in negative 4, then adding 1 in negative 1, and lastly adding 5 in negative 6.

Ultimately we can say that Negative 614 plus Positive 514 equals Negative 102.

<em>So, the sum of 512 and –614 is  -102 i.e − 614 + (+512) = -102</em>

<em>Keywords: integer, sum, numbers, digit</em>

<em>Learn more about sum of integers from brainly.com/question/591533</em>

#learnwithBrainly

You might be interested in
Please help with the ones you can do. It’s due tomorrow
tia_tia [17]
Hope that helps you, Good luck!

7 0
3 years ago
Question 1
allochka39001 [22]

Answer:

Step-by-step explanation:

Perimeter of quarter circle = r + r + \frac{1}{4}*2*\pi *r

            = 10 + 10 + \frac{1}{4}*2*3.14*10\\\\= 10 + 10 +  3.14*5\\\\\\= 10 + 10 + 15.70\\\\= 35.70 cm

2) d = 2*10 = 20 cm

Perimeter of semicircle = diameter + (1/2) * circumference of circle

                         = 20 +  \frac{1}{2}* 2*\pi *r\\\\= 20 + \frac{1}{2}*2*3.14*10\\\\= 20 + 3.14*10\\\\= 20 + 31.4\\\\= 51.40 cm

3) Perimeter of three-quarter =  r + r + (3/4)* circumference of circle

          = 10 + 10 + \frac{3}{4}*2*\pi *r\\\\= 10 + 10 + \frac{3}{4} * 2 * 3.14 * 10\\\\= 10 + 10 + 3 * 3.14 * 5\\\\= 10 + 10 + 47.1\\\\= 67.1 cm

5 0
3 years ago
The area of the sector of a circle with a radius of 8 centimeters is 125.6 square centimeters. The estimated value of pi is 3.14
tangare [24]
\bf \textit{area of a sector of a circle}\\\\&#10;A=\cfrac{\theta\pi r^2}{360}\qquad &#10;\begin{cases}&#10;\theta=\textit{angle in degrees}\\&#10;r=radius\\&#10;----------\\&#10;r=8\\&#10;A=125.6&#10;\end{cases}&#10;\\\\\\&#10;360A=\theta\pi r^2\implies \cfrac{360A}{\pi r^2}=\theta\implies \cfrac{360\cdot 125.6}{\pi 8^2}=\theta
4 0
2 years ago
What equation is solved by the graphed systems of equations? Two linear equations that intersect at the point negative 1, negati
GuDViN [60]

To solve this problem, we have to manually solve for the value of x for each choices or equations. The correct equation will give a value of -1 since the linear equations intersects at point (-1, -4).

<span>1st: 7x + 3 = x + 3</span>

7x – x = 3 – 3

6x = 0

<span>x = 0                (FALSE)</span>

 

<span>2nd: 7x − 3 = x – 3</span>

7x – x = 3 – 3

6x = 0

<span>x = 0                (FALSE)</span>

           

<span>3rd: 7x + 3 = x − 3</span>

7x – x = - 3 – 3

6x = -6

<span>x = -1               (TRUE)</span>

 

<span>4th: 7x − 3 = x + 3</span>

7x – x = 3 + 3

6x = 6

<span>x = 1                (FALSE)</span>

 

Therefore the answer is:

<span>7x + 3 = x − 3</span>

6 0
3 years ago
Is 34.653 greater than 3.4653
NeX [460]

in 3.4653, there is one digit to the left of the decimal point, that is the ones position

 in 34.653, there are 2 numbers to the left of the decimal point, the 3 is located in the tens place

 so 34.653 is greater than 3.4653


4 0
3 years ago
Other questions:
  • A newspaper is surveying voters from Idaho regarding voting issues. Which is the most appropriate population to sample for this
    15·1 answer
  • The sum of two polynomials is 8d^5-3c^3d^2+5c^2d^3-4CD^4+9. If one added is 2d^5-c^3d^4+8CD^4+1, what is the other added
    11·1 answer
  • What is the value of x?<br> Enter your answer in the box.<br><br> x=
    10·1 answer
  • At 6:00 a.m., the outside temperature was –14.4⁰. By noon, the outside temperature had dropped 8.1⁰. What was the outside temper
    13·2 answers
  • a plot of land is rectangular and has an area of x^2-5x-24m^2 . the length is x+3m. Find the width of the plot.
    14·1 answer
  • Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas
    13·2 answers
  • Logarithms in standard form​
    12·1 answer
  • Given = 1/(−3), what is ((+ℎ)−())/ℎ ?
    15·1 answer
  • A doctor takes an uber from the airport to a hotel. The uber driver charges an $2.50 initial charge plus $2.65 per mile? Which e
    8·1 answer
  • Help pls with this problem
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!