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
Soloha48 [4]
3 years ago
10

When adding two numbers, such as 123 and 423, care is taken to first line them up and then add like digits. How does expanding t

his expression to [(1 × 102) + (2 × 101) + (3 × 100)] + [(4 × 102) + (2 × 101) + (3 × 100)] make the operation more like a polynomial addition problem?
Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0
Think of 10^2, 10^1, and 10^0 as x^2, x^1, and x^0.
When you add polynomials, you can only combine like terms.
When you add expanded numbers, you can only combine like powers of 10.

123 + 423 =

= (100 + 20 + 3) + (400 + 20 + 3)

= (1 * 10^2 + 2 * 10^1 + 3 * 10^0) + (4 * 10^2 + 2 * 10^1 + 3 * 10^0)

= (1 * 10^2 + 4 * 10^2) + (2 * 10^1 + 2 * 10^1) + (3 * 10^0 + 3 * 10^0)

= 5 * 10^2 + 4 * 10^1 + 6 * 10^0

= 500 + 40 + 6

= 546
You might be interested in
Which of the following expressions has the greatest value when x=5? show how you arrived at your choice.
Nitella [24]

Answer:

2x^2+7

Step-by-step explanation:

Let x=5

2x^2+7

2 ( 5)^2 +7 = 2*25 +7 = 50+7 = 57

(x^3-5)/3

(5^3 -5)/3 = (125-5)/3 = 120/3 = 40

(10x -2)/ (x-3)

(10*5-2)/(5-3) = (50-2)/(2) = 48/2 = 24

6 0
3 years ago
Person 1 can do a certain job in twenty-one minutes, and person 2 can do the same job in twenty-eight minutes. When completing t
eimsori [14]

The <em>correct answer</em> is:


C) x/21


Explanation:


Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.

7 0
3 years ago
Solve the formula for n. A=a+d(n-1) evaluate n when A=25, a=5, and d=13
ser-zykov [4K]

Answer:

Step-by-step explanation:

You;ll run into this formula a lot. Make sure you study it carefully.

A = 25

a = 5

d = 13

Find n

25 = 5 + 13*(n- 1)

20 = 13(n - 1)

This isn't going to work out. 20/13 does not give a whole number which it should.

8 0
3 years ago
An account statement has a balance of 109 dollars and 75 cents. carl is balancing his checking account. after comparing the bank
timama [110]

The correct amount in carl’s checking account will be $51.75. Then the correct option is A.

<h3>What is subtraction?</h3>

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

An account statement has a balance of 109 dollars and 75 cents.

Carl is balancing his checking account.

After comparing the bank statement to his register, he notices an outstanding debit of $58.00.

Then the correct amount in carl’s checking account will be

→ 109.75 - 58 = $ 51.75

More about the subtraction link is given below.

brainly.com/question/4319655

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%28%20%7B%20-%20x%7D%5E%7B%20-%201%7D%29%20%5E%7B0%7D%20%20%7D%7B4%20%7By%7D%5E%7
Kipish [7]

Answer:

1/4y

Step-by-step explanation:

(-x^-1)^0/(4y^-1*y^2)

anything to the power of 0 gives you 1,

1/(4y^-1*y^2)

-1+2=1

1/4y^1=1/4y

8 0
3 years ago
Other questions:
  • 75,000 grams= _____kilograms
    12·2 answers
  • Select the postulate that is illustrated for the real numbers. 25 + 0 = 25
    10·1 answer
  • What is four plus two minus three and how many is that times 10
    14·2 answers
  • Thank you in advance!
    15·1 answer
  • The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. She took
    12·1 answer
  • Reports say that the mean birth weight of babies of European heritage is 3.5\text{ kg}3.5 kg3, point, 5, start text, space, k, g
    8·2 answers
  • Help please! <br> find the area of the isoceles triangle
    6·1 answer
  • The area of a rectangle is 2x^2-11x+15 square feet. The length of the rectangle
    8·1 answer
  • Madden 2020 game cost $95. Last year this game was $76. What is the<br> percent change in price
    14·1 answer
  • Why are 1995 pennies worth less than 2018 pennies?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!