MBC
home work due on 03-09-2016
V1
John and Jack had $350 each. How much money did John give to Jack if now
Jack has six times more money than John?
V2
There are 280 oranges in two boxes. There are 9 times more oranges
in the first box than in the second box. First box has X more oranges
than the second box. Find X.
P1
By how much fraction 3/10 will change if you add 4 to numerator and 4 to the
denominator?
P2
By how much fraction 10/3 will change if you add 4 to numerator and 4 to the
denominator?
G1*
Elliot sells 225 muffins and bagels in one day. If the number of muffins he sells is
15 more than twice the number of bagels he sells, then how many bagels he sold
in that day?
On the concept of multiplication
We understand, that 2/9 is twice as much as 1/9, because it is two parts, where
each part is 1/9 of 459. Then, of course, to find 2/9 of N, one must find 1/9 of N,
which is N/9 and then multiply the result by 2.
So it is 2*N/9 or (2/9)*N (Associative Property).
The above logic explains multiplication a fraction by a whole number N, which
gives us a ground-work for a rule of multiplying fractions.
Multiply fractions
M1
(1 / 3) * 5 = five slices, where each slice is 1/3. So it is 5/3. So, we have to
numerator by the number on the right side.
(1 / 4) * 5
=
(1 / 4) * 6
=
(1 / 4) * 8
=
(1 / 5) * 5
(a / b) * 5 =
=
multiply
Prove that the following statements are true. Try to do the proof without
adding fractions.
A1
1/5 + 1/6 < 2/5
A2
2/7 + 3/8 < 5/7
A3
1/6 + 1/7 + 1/8 > 3/8
A4
1/11 + 1/12 + 1/13 > 3/13
W1
Helen’s brother gets a salary of $225 per month and saves 1/15 of it. How much
can he save for a year? Find the easiest way to compute. Explain why it is the
easiest.
W2
Mark caught N fishes. 3/4 of them were flounders. 0.1 of them were tuna. The
rest was codfish. How many of codfish he caught?
Powers of ten and decimal form
Decimal number contains whole part, - a number made up of digits on the
left side of a decimal point, - and fractional part. In a fractional part of
decimal number, each digit is interpreted depending on its position. First
digit to the right of a decimal point means how many 10-s is in the
number, second digit is how many 100-s, third - how many 1000-s, and
so on. Example, 12.54 means 12 + 5/10 + 4/100 = 12 + 1/2 + 1/25
B1
Based on the definition explain that 0.2 = 0.20 = 0.200
B2
Based on the definition explain that 0.2 + 0.03 = 0.23
B3
Convert decimal number into proper or improper fraction. The result has to be
always I in lowest terms.
0.6 =
0.66 =
0.55 =
0.32 =
0.36 =
1.36 =
2.36 =
4.04 =
4.004 =
B4
Convert fraction into decimal form You have to notice that 1/4 is a half of 1/2. If you
express 1/2 in decimal form, as 0.5, or 0.50, then half of 0.50 is 0.25. Thus, 1/4 = 0.25
In similar way you work with the other ones
1/4 =
1/8 =
5/8 =
7/8 =
9/8 =
9/5 =
7/20 =
7 /25 =
1/40 =
11/8 =