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Vesna [10]
3 years ago
15

Mrs. Shen writes the expression |-5| + |3| on the board. Show or explain why the sum |-5| + |3| is the distance between -5 and 3

on a number line.
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

(Short) Answer:

Because the absolute value of a number is the distance between the number and the origin of the line.

Step-by-step explanation:

Mrs. Shen writes the expression |-5| + |3| on the board. Show or explain why the sum |-5| + |3| is the distance between -5 and 3 on a number line.

The definition of absolute value:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

Because the absolute value of a number is the distance between the number and the origin of the line. (0, 0) -5's distance to the line is 5 and 3's distance to the origin of the line is 3. The sum of 5 and 3 is 8. Same with solving the absolute value, |-5| + |3| we get 5 + 3 which is 8 too.

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Is there a faster way to find GCF of large numbers e.g 828 and 529.
Sunny_sXe [5.5K]
You can use prime factorization to find the GCF of a set of numbers. This often works better for large numbers, where generating lists of all factors can be time-consuming.
Here’s how to find the GCF of a set of numbers using prime factorization:
* List the prime factors of each number.
* Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
* Multiply all the circled numbers.
The result is the GCF.
For example, suppose you want to find the GCF of 28, 42, and 70. Step 1 says to list the prime factors of each number. Step 2 says to circle every prime factor that’s common to all three numbers (as shown in the following figure).
As you can see, the numbers 2 and 7 are common factors of all three numbers. Multiply these circled numbers together:
2 · 7 = 14
Thus, the GCF of 28, 42, and 70 is 14.

5 0
2 years ago
You are wearing a pair of cargo pants with six pockets. You've put $10 in one of the pockets, but you cannot remember which one.
Over [174]
There are 6 pockets all together.  You checked two of them and it wasn't
there.  So you can forget about those 2, and now there are 4 pockets left.

The total number of ways for your next try is 4.
The number that will be successful is 1.

The probability of success on the next one is  <em>1/4  =  25% .</em>

=======================================================

Another method of solution, somewhat more complex:

Total number of pockets = 6.
Amount of money missing = $10
First partial sum, i.e. sum of numbers
 in the first part of the problem = 6 + 10  =  16.

Total number of pockets  =  6
Current value of cargo pants on a fashion scale from 1 to 10  =  -2.
Second partial sum =  6 - 2  =  4.

  Probability = (second partial sum) / (first partial sum) = 4/16  =  <em>25% </em>.


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4 years ago
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3 years ago
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Answer:

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Step-by-step explanation:


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