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Kamila [148]
3 years ago
5

1.) Determine whether each number is irrational or rational.

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

1/3 is rational its nonterminating but it repeats

6.99999 rational its nonterminating and it repeats also

7.48331 is irrational because its non terminnating  and it does not repeat

Step-by-step explanation:

You might be interested in
How is the number 5 divisible into 1,620
Gennadij [26K]

-Notice that dividing our numbers leaves no remainder:

1,620 ÷ 5 = 324 + 0

-1,620 has all the factors of the number 5

7 0
3 years ago
1.11(5) - 11(4) =
Natali5045456 [20]

Answer:

1) 11

2) -8

3) 30

15) 80x - 128

16) 138y

Step-by-step explanation:

For these problems, you will need to use either PEMDAS or distributive property.

PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.

Example of PEMDAS:

2) 8(-3 + 2)

Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.

-3 + 2 = -1 so the problem will now look like:

8 (-1)

Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:

8 × -1 = -8

-8

Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.

Example of distributive property:

2) 8(-3 + 2)

Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:

8 × -3 and 8 × 2

The problem should look like:

-24 + 16

Then solve:

-8

Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.

1)

11(5) - 11(4)

55 - 44

11

3)

6(9) - 4(6)

54 - 24

30

15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*

16(5x - 8)

80x - 128

*You can only combine like terms so this is fully simplified*

16)

23y(2 + 4)

46y + 92y

138y

5 0
3 years ago
5-7
uranmaximum [27]

Answer:

the third option

Step-by-step explanation:

what does that mean ?

to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).

a square root of a not square number is irrational (not rational).

so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).

for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.

what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.

so, what works for 9 - sqrt(14) as factor ?

we cannot just square this as

(9- sqrt(14))² = 81 -2sqrt(14) + 14

we still have the square root included.

but remember the little trick :

(a+b)(a-b) = a² - b²

without any mixed elements.

so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get

81-14 = 67 which is a rational number.

therefore, the third answer option is correct.

7 0
2 years ago
Help!! Math question
aksik [14]
18 - 7x = -20.52.5 = 7xx = 5/14 (c)


5 0
3 years ago
Read 2 more answers
The temperature was zero degrees Fahrenheit. It dropped by eight degrees every hour for four hours. What was the temperature aft
serg [7]

Answer:

-32 degrees

Step-by-step explanation:

Okay so-

8 x 4 = 32

0 - 32 = -32

-32 degrees Fahrenheit

6 0
3 years ago
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