Converting Between Mixed and Improper Fractions
Write 2 3/4 as an Improper Fraction.
11/4.
3/5 + 1/5
4/5
1/3 x 4/5
4/15
34 = ?
81
Convert 790 000 to Scientific Notation.
7,9 x 105.
Write 17/3 as a Mixed Number.
5 2/3.
1/6 + 1/2
1/6 + 3/6
= 4/6
= 2/3
2/3 ÷ 2/5
= 2/3 x 5/2
= 10/6
= 5/3
23 + 32
23 = 8
32 = 9
8 + 9 = 17
What is 4,502 x 107 in Standard Form?
45 020 000.
Explain what mistake was made when converting the following fraction, and what the correct answer should be.
3 4/5 = 13/5
Added 5 and 3 instead of multiplied.
Correct answer is 19/5.
5/6 + 1/4
10/12 + 3/12
= 13/12
1/3 x 3/4 ÷ 2/5
1/3 x 3/4 = 3/12 = 1/4
1/4 ÷ 2/5 = 1/4 x 5/2
= 5/8
17 x 32 + 4
= 1 x 9 + 4
= 9 + 4
= 13
The distance from Stockholm to Gothenburg by car is 46,6 mi. Write this distance in centimetres in Scientific Notation.
46,6 mi = 466 km
466 km = 466 000 m
466 000 m = 46 600 000 cm
Answer: 4,66 x 107 cm
Write 142/5 as a Mixed Number.
28 2/5.
3 4/5 - 2 1/2
3 8/10 - 2 5/10
= 1 3/10
3 5/6 ÷ 2 1/4
= 23/6 ÷ 9/4
= 23/6 x 4/9
= 92/54
= 46/27
43 - 34 + 25
43 = 64
34 = 81
25 = 32
= 64 - 81 + 32
= -17 + 32
= 15
If 3,1 x 105 people lived in a city in the year 2000, and the population doubled by 2018, how many people live in that city this year? Write your answer in Scientific Notation.
6,2 x 105.
Arrange these Mixed Numbers in order from largest numerator to smallest numerator when converted to Improper Fractions:
a) 13 4/6 b) 18 3/4 c) 11 6/7 d) 8 4/9
c) 83/7
a) 82/6
d) 76/9
b) 75/4
5/3 - 2/6 + 4/7
Answer in simplest form.
10/6 - 2/6 = 8/6
8/6 + 4/7 = 56/42 + 24/42
= 80/42
= 40/21 or 1 19/21
1 1/7 ÷ 2 2/3 x 1 1/2
Answer in simplest form.
= 8/7 ÷ 8/3 x 3/2
= 8/7 x 3/8 x 3/2
= 24/56 x 3/2
= 72/112 = 36/56 = 18/28
= 9/14
(52 - 42)2 + 32
= (25 - 16)2 + 9
= 92 + 9
= 81 + 9
= 90
Scientific Notation can also be used to write small numbers. How would you write 0,0000042 in Scientific Notation?
4,2 x 10-6