How to multiply decimals - GRE Quantitative Reasoning
Card 1 of 32
There are 3,500 people in group A and 5,000 people in group B:
Car Type % in Group A Who Own % in Group B Who Own Motorbike 4 9 Sedan 35 25 Minivan 22 15 Van 9 12 Coupe 3 6
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
There are 3,500 people in group A and 5,000 people in group B:
| Car Type | % in Group A Who Own | % in Group B Who Own |
|---|---|---|
| Motorbike | 4 | 9 |
| Sedan | 35 | 25 |
| Minivan | 22 | 15 |
| Van | 9 | 12 |
| Coupe | 3 | 6 |
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
Tap to reveal answer
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
← Didn't Know|Knew It →
Given that 
, which best describes the relationship between 
, 
, and 
?
Given that
Tap to reveal answer
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have 
and 
(because y must be greater than x).
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally, 
is largest, since dividing a larger number by a smaller one gives a result greater than 1.
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally,
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
← Didn't Know|Knew It →
You bought a dozen eggs marked at 
and received 
change from 
. What is the percent of sales tax?
You bought a dozen eggs marked at
Tap to reveal answer
Set the equation up as
Solve for 
, which equals 
or
Therefore the percent sales tax is:
Set the equation up as
Solve for
or
Therefore the percent sales tax is:
← Didn't Know|Knew It →
There are 3,500 people in group A and 5,000 people in group B:
Car Type % in Group A Who Own % in Group B Who Own Motorbike 4 9 Sedan 35 25 Minivan 22 15 Van 9 12 Coupe 3 6
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
There are 3,500 people in group A and 5,000 people in group B:
| Car Type | % in Group A Who Own | % in Group B Who Own |
|---|---|---|
| Motorbike | 4 | 9 |
| Sedan | 35 | 25 |
| Minivan | 22 | 15 |
| Van | 9 | 12 |
| Coupe | 3 | 6 |
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
Tap to reveal answer
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
← Didn't Know|Knew It →
Given that , which best describes the relationship between , , and ?
Given that
Tap to reveal answer
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have and (because y must be greater than x).
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally, is largest, since dividing a larger number by a smaller one gives a result greater than 1.
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally,
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
← Didn't Know|Knew It →
You bought a dozen eggs marked at and received change from . What is the percent of sales tax?
You bought a dozen eggs marked at
Tap to reveal answer
Set the equation up as
Solve for , which equals
or
Therefore the percent sales tax is:
Set the equation up as
Solve for
or
Therefore the percent sales tax is:
← Didn't Know|Knew It →
There are 3,500 people in group A and 5,000 people in group B:
Car Type % in Group A Who Own % in Group B Who Own Motorbike 4 9 Sedan 35 25 Minivan 22 15 Van 9 12 Coupe 3 6
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
There are 3,500 people in group A and 5,000 people in group B:
| Car Type | % in Group A Who Own | % in Group B Who Own |
|---|---|---|
| Motorbike | 4 | 9 |
| Sedan | 35 | 25 |
| Minivan | 22 | 15 |
| Van | 9 | 12 |
| Coupe | 3 | 6 |
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
Tap to reveal answer
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
← Didn't Know|Knew It →
Given that , which best describes the relationship between , , and ?
Given that
Tap to reveal answer
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have and (because y must be greater than x).
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally, is largest, since dividing a larger number by a smaller one gives a result greater than 1.
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally,
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
← Didn't Know|Knew It →
You bought a dozen eggs marked at and received change from . What is the percent of sales tax?
You bought a dozen eggs marked at
Tap to reveal answer
Set the equation up as
Solve for , which equals
or
Therefore the percent sales tax is:
Set the equation up as
Solve for
or
Therefore the percent sales tax is:
← Didn't Know|Knew It →
find 0.72
find 0.72
Tap to reveal answer
0.7 * 0.7 = 0.49
Trick: do the numbers without the decimals (7*7)
49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)
0.49
0.7 * 0.7 = 0.49
Trick: do the numbers without the decimals (7*7)
49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)
0.49
← Didn't Know|Knew It →
There are 3,500 people in group A and 5,000 people in group B:
Car Type % in Group A Who Own % in Group B Who Own Motorbike 4 9 Sedan 35 25 Minivan 22 15 Van 9 12 Coupe 3 6
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
There are 3,500 people in group A and 5,000 people in group B:
| Car Type | % in Group A Who Own | % in Group B Who Own |
|---|---|---|
| Motorbike | 4 | 9 |
| Sedan | 35 | 25 |
| Minivan | 22 | 15 |
| Van | 9 | 12 |
| Coupe | 3 | 6 |
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
Tap to reveal answer
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
← Didn't Know|Knew It →
Given that , which best describes the relationship between , , and ?
Given that
Tap to reveal answer
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have and (because y must be greater than x).
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally, is largest, since dividing a larger number by a smaller one gives a result greater than 1.
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally,
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
← Didn't Know|Knew It →
You bought a dozen eggs marked at and received change from . What is the percent of sales tax?
You bought a dozen eggs marked at
Tap to reveal answer
Set the equation up as
Solve for , which equals
or
Therefore the percent sales tax is:
Set the equation up as
Solve for
or
Therefore the percent sales tax is:
← Didn't Know|Knew It →
find 0.72
find 0.72
Tap to reveal answer
0.7 * 0.7 = 0.49
Trick: do the numbers without the decimals (7*7)
49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)
0.49
0.7 * 0.7 = 0.49
Trick: do the numbers without the decimals (7*7)
49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)
0.49
← Didn't Know|Knew It →
There are 3,500 people in group A and 5,000 people in group B:
Car Type % in Group A Who Own % in Group B Who Own Motorbike 4 9 Sedan 35 25 Minivan 22 15 Van 9 12 Coupe 3 6
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
There are 3,500 people in group A and 5,000 people in group B:
| Car Type | % in Group A Who Own | % in Group B Who Own |
|---|---|---|
| Motorbike | 4 | 9 |
| Sedan | 35 | 25 |
| Minivan | 22 | 15 |
| Van | 9 | 12 |
| Coupe | 3 | 6 |
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
Tap to reveal answer
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
← Didn't Know|Knew It →
Given that , which best describes the relationship between , , and ?
Given that
Tap to reveal answer
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have and (because y must be greater than x).
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally, is largest, since dividing a larger number by a smaller one gives a result greater than 1.
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally,
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
← Didn't Know|Knew It →
You bought a dozen eggs marked at and received change from . What is the percent of sales tax?
You bought a dozen eggs marked at
Tap to reveal answer
Set the equation up as
Solve for , which equals
or
Therefore the percent sales tax is:
Set the equation up as
Solve for
or
Therefore the percent sales tax is:
← Didn't Know|Knew It →
find 0.72
find 0.72
Tap to reveal answer
0.7 * 0.7 = 0.49
Trick: do the numbers without the decimals (7*7)
49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)
0.49
0.7 * 0.7 = 0.49
Trick: do the numbers without the decimals (7*7)
49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)
0.49
← Didn't Know|Knew It →
There are 3,500 people in group A and 5,000 people in group B:
Car Type % in Group A Who Own % in Group B Who Own Motorbike 4 9 Sedan 35 25 Minivan 22 15 Van 9 12 Coupe 3 6
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
There are 3,500 people in group A and 5,000 people in group B:
| Car Type | % in Group A Who Own | % in Group B Who Own |
|---|---|---|
| Motorbike | 4 | 9 |
| Sedan | 35 | 25 |
| Minivan | 22 | 15 |
| Van | 9 | 12 |
| Coupe | 3 | 6 |
The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?
Tap to reveal answer
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:
Group B: 0.15(5000) = 750
Group A: 0.22(3500) = 770
750 – 770 = –20; thus, group B has 20 fewer people who own minivans than group A.
← Didn't Know|Knew It →
Given that , which best describes the relationship between , , and ?
Given that
Tap to reveal answer
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have and (because y must be greater than x).
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally, is largest, since dividing a larger number by a smaller one gives a result greater than 1.
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's have
If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).
The value of (xy)2 will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.
Finally,
Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.
← Didn't Know|Knew It →