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]
2 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]2 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
Solve for X. Show your work<br><br> 2x + 6 = x - 5
irina1246 [14]

2x + 6 = x - 5

2x - x = -5 - 6

x = -11 ← the end

8 0
2 years ago
Can 13 be partitioned in groups of 3​
Gennadij [26K]

Answer:

no

Step-by-step explanation:

in less you want a un proportional number

7 0
3 years ago
A 6 foot tall football player casts a 16 inch shadow at the same time the stadium bleachers cast a 6 foot shadow how tall are th
Tom [10]
I believe its 27.75. I wouldn't take my word for it though.
7 0
3 years ago
Read 2 more answers
A water cooler holds 15 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters) HELP ME PLEASE
Julli [10]

Answer:

Approximately 56.775 gallons

Step-by-step explanation:

15 x 3.785

=56.775

6 0
3 years ago
Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec
charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴  = 2⁽³⁻⁴⁾

2³ × 2⁻⁴  = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0
1 year ago
Other questions:
  • Is eight a multiple of 8
    7·2 answers
  • This is what I've done so far but does anyone know what I do next or did I make a mistake
    6·1 answer
  • Which rotation about its center will carry a regular decagon onto itself
    6·2 answers
  • HELP NEEDED ASAP!!! PLEEEEASE HELP!!!
    15·1 answer
  • What is 1.1 (.1 repeating) as a fraction?
    7·1 answer
  • Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For ev
    5·1 answer
  • Simplify 8.7+(1.5)2+4(3.5+6.2)0-3.1-1.5
    7·1 answer
  • PLEASEEEEEEEEEEEEEEEEEEE HELPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • . 5
    8·1 answer
  • 4x2 + 2x = 12<br> What's the answer Nd solve it
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!