Why is the number a rational number?
A.
It is the quotient of -11 divided by 2.
B.
It is the quotient of -2 divided by -11.
C.
It is the quotient of -11 divided by -2.
D.
It is the quotient of 2 divided by -11.
A. It is the quotient of -11 divided by 2.
Why is the number -2/11 a rational number?
A.
It is the quotient of -11 divided by 2.
B.
It is the quotient of -2 divided by -11.
C.
It is the quotient of -11 divided by -2.
D.
It is the quotient of 2 divided by -11.
B. It is the quotient of -2 divided by -11.
Which scenarios match the expression above? -4/5 divided by -1/5
Vince is writing an English paper that needs to be of a page long. He has written of a page. How much more of a page does he need to write?
Bruce's uncle is an oceanographer. He is in a submarine and is going to a depth of of a mile below sea level. So far, he has gone of a mile below sea level. How much deeper is he going to go?
A whale shark can dive to a depth of of a mile below zero. The record for a human diver is of a mile below zero. How many times deeper can the whale shark dive than a human?
Gavin's golden retriever, Burt, is of a meter long. His Jack Russell terrier, Spot, is of a meter long. How many times longer is Burt than Spot?
Gina is measuring the distances of cities in South America from the equator and labeling distances above the equator positive and below the equator negative. On her map, Caracas is of a foot below the equator and Lima is of a foot below the equator. How many times farther below the equator is Caracas than Lima?
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The scenarios that match the expression -4/5 divided by -1/5 are:
- Vince writing an English paper that needs to be 1/5 of a page long. He has written -4/5 of a page. How much more of a page does he need to write?
- Bruce's uncle, the oceanographer, going to a depth of 1/5 of a mile below sea level. He has gone -4/5 of a mile below sea level. How much deeper is he going to go?
1. is -3/-5 equivalent, the opposite of, or the reciprocal of -(3/5)?
2. is -3/5 equivalent, the opposite of, or the reciprocal-(3/5)?
3. is 3/-5 equivalent, the opposite of, or the reciprocal -(3/5)
4. is 3/5 equivalent, the opposite of, or the reciprocal -(3/5)?
1. The expression -3/-5 is equivalent to 3/5.
2. The expression -3/5 is the opposite of 3/5.
3. The expression 3/-5 is the opposite of -3/5.
4. The expression 3/5 is the reciprocal of 5/3.
Why is the number 3/10 a rational number?
A.
It is the quotient of 10 divided by 3.
B.
It is the quotient of 30 divided by 10.
C.
It is the quotient of 100 divided by 3.
D.
It is the quotient of 3 divided by 10.
D. It is the quotient of 3 divided by 10.
Which of the following describes the quotient of 2 and -24?
A.
The quotient is a rational number.
B.
The quotient is an irrational number.
C.
The quotient is undefined.
D.
The quotient is an integer.
A. The quotient of 2 and -24 is a rational number.
Which scenario matches the given expression?
-3/5 divided by -2/5
A.
A builder uses of an acre of land for constructing a building. He uses of an acre of land for a garden. How much more of an acre does he use for the building than the garden?
B.
On the first day of mining a metal, a miner goes of a kilometer below ground level. On the second day, he goes of a kilometer below ground level. How many times further below ground level does the miner go on the second day than on the first day?
C.
A tuna swims of a meter below sea level. A sardine swims of a meter below sea level. How many times more below sea level does the sardine swim than the tuna?
D.
Rick spent of an hour studying. Later, he spent of an hour watching television. How much more time did Rick spend studying than watching television?
A. A builder uses 3/5 of an acre of land for constructing a building. He uses -2/5 of an acre of land for a garden. The scenario matches the given expression -3/5 divided by -2/5. How much more of an acre does he use for the building than the garden?
Solve the following.
8,736 ÷ -600 =
A.
13.44
B.
-14.56
C.
14.56
D.
-13.44
B. -14.56
Type "yes" or "no" in each blank.
If p = 2 and q = 5, is the value of equivalent to ?
If p = 2 and q = -5, is the value of equivalent to ?
If p = -2 and q = 5, is the value of equivalent to ?
If p = -2 and q = -5, is the value of equivalent to ?
If p = 2 and q = 5, the value of 2p - q² is not equivalent to -19.
If p = 2 and q = -5, the value of 2p - q² is equivalent to 41.
If p = -2 and q = 5, the value of 2p - q² is equivalent to -51.
If p = -2 and q = -5, the value of 2p - q² is equivalent to -9.
1/4 divided by 3/4
To divide fractions, you multiply the numerator of the first fraction by the reciprocal of the second fraction (or vice versa).
Therefore, 1/4 divided by 3/4 can be simplified as follows:
1/4 ÷ 3/4 = 1/4 * 4/3 = (1*4) / (4*3) = 4/12
The simplified result is 4/12 which can be further simplified as 1/3.
gracie has 1/2 of a cantaloupe that she wants to divide how many 1/8's of a cantaloupe are there in 1/2 of a cantaloupe?
To find out how many 1/8's of a cantaloupe are in 1/2 of a cantaloupe, we need to divide 1/2 by 1/8.
Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. Therefore, 1/2 divided by 1/8 can be rewritten as 1/2 multiplied by 8/1.
Now we can multiply the numerators and denominators:
1/2 * 8/1 = (1*8)/(2*1) = 8/2 = 4
Therefore, there are 4 1/8's of a cantaloupe in 1/2 of a cantaloupe.
Clara has a package of six cookies she wants to share equally among her friends.
If Clara makes sure that each piece of cookie will be 3/5 of a cookie, how many cookies can she share?
If Clara wants to ensure that each piece of the cookie is 3/5 of a cookie, we need to divide the total number of cookies by 3/5.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
In this case, we have 6 cookies divided by 3/5, which can be rewritten as 6 multiplied by 5/3.
Now we can multiply the numerators and denominators:
6 * 5/3 = (6*5)/(1*3) = 30/3 = 10
Therefore, Clara can share 10 cookies among her friends if each piece is 3/5 of a cookie.
Colton is making a large batch of clay for his art class. His recipe for clay requires 7 1/2 cups of flour. However, Colton only has 5 5/8 cups of the flour, so he can only make a portion of the recipe.
Create an equation to model the situation and solve it to determine what portion of his recipe Colton can make.
Let's represent the portion of the recipe that Colton can make as "x".
According to the given information, the recipe requires 7 1/2 cups of flour, but Colton only has 5 5/8 cups of flour.
We can create an equation to model the situation:
x * (7 1/2) = 5 5/8
To solve for x, we need to convert the mixed numbers to improper fractions.
The equation becomes:
x * (15/2) = 45/8
To solve for x, we can multiply both sides of the equation by the reciprocal of 15/2 or 2/15.
x * (15/2) * (2/15) = (45/8) * (2/15)
Simplifying both sides, we get:
x = 90/120
x = 3/4
Therefore, Colton can make 3/4 or 75% of his recipe with the amount of flour he has.