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GED > Math: Numbers and Operations: Part 1 - Fractions > Flashcards

Math: Numbers and Operations: Part 1 - Fractions Flashcards

1
Q 
round these numbers to the nearest ten:
576
432
925
remember: the tens column is the second number from the right so the only number that factors into rounding is the number to the right of the number you are rounding
A

576 becomes 580 (6 is higher than 5 so we round up)
432 becomes 430 (0 is lower than 5)
925 becomes 930 (you always round up a 5)

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2
Q

round these numbers to the nearest hundred:
9643
2350
6789
remember: the hundreds column is the third number from the right so the only numbers that factor into rounding are the numbers to the right of the number you are rounding

A

9643 becomes 9600 (43 is lower than 50)
2350 becomes 2400 (always round up 50)
6789 becomes 6800 (89 is higher than 50)

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3
Q

round these numbers to the nearest thousand
3500
3200
3879
remember: the thousands column is the fourth number from the right so the only numbers that factor into rounding are the numbers to the right of the number you are rounding

A

3500 becomes 4000 (always round up 500)
3200 becomes 3000 (200 is lower than 500)
3879 becomes 4000 (879 is higher than 500)

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4
Q

round these decimals to the nearest tenth:

  1. 568
  2. 137
  3. 087
  4. 98
    remember: the tenths column on a decimal is the first column to the right of the dot. the number to the right of the tenths column determines if you round up or down
A
  1. 568 becomes 5.6
  2. 137 becomes 24.1
  3. 087 becomes 9.1
  4. 98 becomes 46
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5
Q

round these decimals to the nearest hundred:

  1. 256
  2. 135
  3. 352
  4. 129
    remember: the hundredths column on a decimal is the second column to the right of the dot. the number to the right of the hundredths column determines if you round up or down
A
  1. 256 becomes 5.26
  2. 135 becomes 24.14
  3. 352 becomes 1.35
  4. 129 becomes 0.13
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6
Q

round these numbers to the nearest whole number: (no decimals in answer:

  1. 345
  2. 876
  3. 52
  4. 192
    remember: only the number to the right of the decimal determines if you round up or down.
A
  1. 345 becomes 8
  2. 876 becomes 8
  3. 52 becomes 104
  4. 192 becomes 8956
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7
Q 
choose corrected operation:
Ahmed, Rita, and Lilia are sharing equally the $126 profit from their yard sale. Which operation shows how much each person will receive?
1) 3+$126
2) $126-3
3) $126 X 3
4) $126/3
5) 3/$126
A

$126/3

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8
Q 
Estimating:
The city of Lakewood has 13968 registered voters. In a recent election, only 4787 people votes. Approximately how many registered voters did not vote?
6500?
7500?
8000?
9000?
10000?
A

13968 registered voters is close to 14000
4787 actual voters is close to 5000
14000-5000=9000
The answer is 9000

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9
Q

solve this problem using order of operation (BEDMAS)

6+3X5

A

6+3X5
6+15 do the multiplication first then addition
the answer is 21

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10
Q

solve this problem using order of operation (BEDMAS)

7X4+15/3

A

7X4+15/3
28+5
the answer is 33

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11
Q

solve this problem using order of operation (BEDMAS)

7X4+15/3-12X2

A

7X4+15/3-12X2
28+5-24
the answer is 9

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12
Q

solve this problem using order of operation (BEDMAS)

3(4+3X2)with the entire bracket being to the power of 2

A

3(4+3X2)with the entire bracket being to the power of 2
3(4+6)with the entire bracket being to the power of 2
3(10)with the entire bracket being to the power of 2
3(10X10)
3(100)
the answer is 300

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13
Q

A parking garage has spaces for 70 cars and charges each driver $6 per day for parking. If all the spaces are full, which expression shows how much more the garage owner could make if he charged $8 per day?

1) 70+$8+$6
2) 70X$8X$6
3) 370($8-$6)
4) 70($6+$8)

A

a parking garage has spaces for 70 cars and charges each driver $6 per day for parking. If all the spaces are full, which expression shows how much more the garage owner could make if he charged $8 per day?

The answer is 70($8-$6)

The question is asking how much more so you have to determine how much more he is charging which is the ($8-$6) part then multiply it by number of spots.

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14
Q

David can drive 300 km on one tank of gas. How many tanks of gas would he need to drive 1200 km?
Which expression would answer this question?
1) 300+1200
2) 1200-300
3) 300X1200
4) 300/1200
5) 1200/300

A

David can drive 300 km on one tank of gas. How many tanks of gas would he need to drive 1200 km?

the answer is 1200/300

total amount he needs to drive divided by the amount he can drive for each tank

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15
Q

Which of the following is a proper fraction?

3/4, 9/2, 5/5 ?

A

3/4. proper fractions are less than 1

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16
Q

Which of the following is an improper fraction?

3/4. 9/2, 5/5

A

both 9/2 and 5/5 as they are more than or equal to 1

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17
Q

Change the following mixed number to a fraction:
5 2/3
the denominator does not change

A

Change the following mixed number to a fraction:
5 2/3

17/3
5X3=15 +2 gives you 17/3

18
Q

Change the following mixed number to a fraction:
4 1/5
the denominator does not change

A

Change the following mixed number to a fraction:
4 1/5

21/5
4X5=20+1 gives you 21/5

19
Q

Change the following mixed number to a fraction:
8 5/7
the denominator does not change

A

Change the following mixed number to a fraction:
8 5/7

61/7
8X7=56+5 gives you 61/7

20
Q

Solve the following:

2/7 + 3/7 =

A

2/7 + 3/7 = 5/7

the denominator is not affected when adding or subtracting fractions

21
Q

Solve the following:

1/3 + 5/3=

A

1/3 + 5/3 = 6/3 (which is actually 2)

the denominator is not affected

22
Q

Solve the following:

5/9 - 9/9 =

A

5/9 - 9/9 = -4/9

the denominator is not affected

23
Q

Solve the following:

15/20 - 12/20 =

A

15/20 - 12/20 = 3/20

the denominator is not affected

24
Q

solve the following:

3/5 + 1/3 =

A

3/5 +1/3 = 14/15

first you need to find a common denominator. easiest way is to multiply the two denominators (3X5) so the denominator is 15.

you then need to make each fraction the same with a new denominator which means you need to ‘cross-multiply’ which is multiplying the denominator of one fraction with the numerator of the other fraction to get the new numerator.

In this case that means 5 X 1 = 5 which makes the second fraction now 5/15. and 3 X 3 = 9 which makes the first fraction 9/15. Your new equation is 9/15 + 5/15 which gives you 14/15

25
Q

solve the following:

1/2 + 5/6 =

A

1/2 + 5/6 = 8/6 or 4/3

first you need to find a common denominator. in this case 6 is the easiest as 2 goes into 6 three times.

you now need to only change one of the fractions in order to solve. 1/2 now becomes 3/6 (multiply the numerator by the same that you multiply the denominator which is 3)

Your equation is now 3/6 + 5/6 = 8/6 or 4/3

you can use the cross multiply method that would make your equation 6/12 + 10/12 = 16/12 or 4/3

26
Q

solve the following:

7/8 - 3/16 =

A

7/8 - 3/16 = 11/16

first you need to find a common denominator. in this case 16 is the easiest as 8 goes into 8 two times.

you now need to only change one of the fractions in order to solve. 7/8 now becomes 14/16 (multiply the numerator by the same that you multiply the denominator which is 2)

Your equation is now 14/16 - 3/16 = 11/16

you can use the cross multiply method that would make your equation 112/128 - 24/128 = 88/128 or 11/16

27
Q

solve the following:

4 1/3 - 2 1/2 =

A

4 1/3 - 2 1/2 =

First change mixed numbers into a fraction: 13/3 - 5/2.

Find a common denominator which is 6 (multiplying the two denominators). Now you cross multiply which is multiplying the numerator with the same number you multiplied the denominator with which gives you: 26/6 - 15/6 = 11/6

28
Q

solve the following:

3/5 X 1/4 =

A

3/5 X 1/4 = 3/20

simple: multiply the numerators and multiply the denominators: 3 X 1 over 5 X 4 = 3/20

29
Q

solve the following:

2 1/3 X 1 3/5 =

A

2 1/3 X 1 3/5 = 56/15

first turn both numbers into fractions: 7/3 X 8/5 then just multiply the numerators and multiply the denominators: 7 X 8 over 3 X 5 = 56/15

30
Q

solve the following:

2/3 divided by 1/2

A

2/3 divided by 1/2 = 4/3

first step change the division to a multiplication, then flip the reciprocal (fraction on the right) so the equation now looks like 2/3 X 2/1. now you simply multiply the numerators and multiply the denominators 2 X 2 over 3 X 1 = 4/3

31
Q

solve the following:

1/6 divided by 4/9

A

1/6 divided by 4/9 = 9/24 or 3/8

first step change the division to a multiplication, then flip the reciprocal (fraction on the right) so the equation now looks like 1/6 X 9/4. now you simply multiply the numerators and multiply the denominators 1 X 9 over 6 X 4 = 9/24 and when you reduce the fraction it becomes 3/8 (divide both numerator and denominator by 3)

32
Q

Reduce fractions to lowest terms

5/10

A

5/10 becomes 1/2

33
Q

Reduce fractions to lowest terms

3/9

A

3/9 becomes 1/3

34
Q

Reduce fractions to lowest terms

20/100

A

20/100 becomes 1/5

35
Q

Reduce fractions to lowest terms

90/100

A

90/100 becomes 9/10

36
Q

Reduce fractions to lowest terms

30/82

A

30/82 becomes 15/41

because they are both even you divide each by 2 to get 15/41 which cant be reduced further

37
Q

Reduce fractions to lowest terms

3/39

A

3/39 becomes 1/13

always start with the small number to see if it can be divided evenly into the large number (3 ‘goes into’ 39 13 times)

38
Q

Reduce fractions to lowest terms

18/81

A

18/81 becomes 2/9

if you remember your times tables you know that 9 X 2 is 18 and 9 X 9 is 81 so use 9 as your lowest common denominator

39
Q

Reduce fractions to lowest terms

16/48

A

16/48 becomes 1/3
think of your dart numbers - triple 16 is 48 so 16 is 1 one-third of 48
or, you could just divide by 2 because they are both even numbers 16/48 becomes 8/24 which becomes 4/12 which becomes 2/6 which becomes 1/3. you get there by continually dividing by two. you can do this because they are all even numbers…in fact that is why people like double 16. if you miss inside the number you still have an even number to shoot at.

40
Q

Ratios:

A painter mixes 4 litres of which paint with 2 litres of blue paint. What is the ratio of white to blue?

A

4:2 or 2:1

always answer in the order the question is asked

41
Q

Ratios:

A painter mixes 4 litres of which paint with 2 litres of blue paint. What is the ratio of blue to white?

A

2:4 or 1:2

always answer in the order the question is asked

42
Q

Proportions:
At a school board meeting, the ratio of parents to teacher is 3:2. If there are 72 parents at the meeting, how many teachers are present?

A

Parents to Teachers
3/2
because you know how many teachers you now have this equation where X is the number of teachers:
3/2 = 72/X
now ‘cross-multiply’ to get your answer:
3X = 144
now to get the value of X you need to divide both sides by 3 which gives you X = 48

48 Teachers were present

or my quick way of doing it is divide 72 by 3 which gives you 24 then multiply 24 by 2 which gives you 48

GED (2 decks)

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