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3 years ago

How does the relationship between multiplication and division help you divide rational numbers?

2 answers:

5 0

To divide rational numbers, you turn the division problem into a multiplication problem by flipping the second rational number. Then you go ahead and multiply the tops and bottoms together to get your answer. If you can simplify your problem before multiplication, you can go ahead and do so to make your problem easier.

Kisachek [45]3 years ago

3 0

A rational number is one which can be represented using fractions. The opposite of division is multiplication and vice versa. Knowing this information, you can easily go about turning a division of two fractions into the multiplication of two fractions.
Ex.
(1/2) / (3/4) = ?
multiply the denominator of your fraction by the reciprocal of the denominator.
(1/2)*(4/3) / (3/4)*(4/3)
(4/6) / 1 = 4/6
So when dividing rational numbers, you can multiply the denominator by its reciprocal. This would be an example of converting a division problem into a multiplication one

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Bridget reads 5 pages of her book per day 4 days per week for several weeks.

Semenov [28]

It would be w(5•4) because she reads 20 pages in one week. then you can multiply 20 by any number of weeks to get that number of pages in total.

8 0

3 years ago

Which polynomial expression represents the area of the outer most square tile, shown below?

Andrew [12]

ANSWER

${x}^{2} - 6x + 9$

EXPLANATION

The outermost square tile has side length,

$l = x - 3$

The area of a square is given by;

$Area= {l}^{2}$

We substitite the given expression for the side length into the formula to obtain,

$Area= {(x - 3)}^{2}$

$Area= {(x - 3)}(x - 3)$

We expand using the distributive property to obtain;

$Area=x {(x - 3)} - 3(x - 3)$

This gives us:

$Area= {x}^{2} - 3x - 3x + 9$

$Area= {x}^{2} - 6x + 9$

The last choice is correct.

7 0

2 years ago

Read 2 more answers

What is the probability of selecting a red card from a standard deck of 52 playing cardships that does not contain a joker?

Rasek [7]

We know that the deck of cards contain half red and half black cards or you can say we have 26 red cards and 26 black cards.
we have to find probability of red cards from a deck of cards
so,
probability (selecting red card) = $\frac{26}{52}$
= $\frac{1}{2}$

Probability ( selecting red card ) = <span> $\frac{1}{2}$ Answer</span>

4 0

3 years ago

Read 2 more answers

1. What is the mean of the data set?

enyata [817]

Answer:

1. mean is 17.4

2. interquartile range is 30

3. mean absolute deviation is 3

4. median is 51

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Natalie's coach has a stopwatch that records times to the nearest thousandth of a second. Natalie ran a given distance in 25.453

sdas [7]

Answer:

25.5 seconds

Step-by-step explanation:

Given that the stopwatch records times to the nearest thousandth of a second, it means that the time recorded will be given at 3 decimal places.

To get the time in the nearest tenth of a second, we would first convert to the nearest hundredth of a second, at this, the reading of 25.453 seconds will be

= 25.45 seconds

Since the number at the hundredth position is 5 (or more), we would add 1 to the number at the tenth position to round it to the nearest tenth. Hence the reading to the nearest tenth

= 25.5 seconds

7 0

2 years ago