116 terms

Manhattan GMAT: Fractions, Decimals, & Percents 1/2

DIGITS & DECIMALS FRACTIONS PERCENTS FDP's
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With 5/18 the decimal is .277777778. If you need to find 5/18 of 2000 will you be able to find a definitive number? (Y/N/CBD) What symbol will you use to show you estimated? (ALT+247)
N ≈
COMPUTATE: What is 5/18 of 2000 if you round to the tenths place when converting 5/18's? One-hundredths place (0.27)? Thousandths (0.277)?
400 540 554
1.98 x 10
19.8
0.03 x 100
3
592.3 x 0.1
59.23
2.95 x 1000
2950
43 x 0.01
0.43
0.05 x 10
0.5
941 x 0.001
0.941
1.58 x 100
158
0.04 x 10
0.4
894.1 x 0.01
8.941
100 x 3.49
349
0.001 x 5600
5.6
73 x 0.01
0.73
25.3 x 100
2530
2.91 x 1
2.91
10³
1,000
4 X 10²
400
9 X 10⁴
90,000
10¹
10
10⁵
100,000
5 X 10¹
50
7 X 10³
7,000
8 X 10⁰
8
The moon is about 240,000 miles from the earth. What is the distance written as a whole number multiplied by a power of ten?
24 X 10⁴
The sun is about 93 X 10⁶ miles from Earth. What is the distance written as a whole number?
93,000,000
(2 X 9) X 10²
1,800
(8 X 7) X 10²
5,600
(8 X 8) X 10³
64,000
1 X 30
30
0.1 X 30
3.0
0.01 X 30
.30
0.001 X 30
.030
268 ÷ n = 0.268 so n =
1,000
n ÷ 10² = 0.123
12.3
n ÷10¹ = 4.6
46
27.65 x 10
276.5
27.65 x 100
2765
27.65 x 1000
27650
27.65 x 0.1
2.765
27.65 x 0.01
0.2765
27.63 ÷ 100
0.2763
27.63 ÷ 10
2.763
27.63 ÷ 0.1
276.3
27.63 ÷ 0.001
27630
27.63 ÷ 0.01
2763
What is the units digit of (7)²(9)²(3)³?
3 (Do all multiplication then multiply all the unit digits (63) keep dropping tens digit b/c its useless)
What is 1530794/(31.49x10²+²) to the nearest whole number?
5 (Shrink both numbers down to 15.xyz/3.xyz to get product. pg 17)
4.319+221.8
226.119
10-0.063
9.937
0.02×1.4
0.028
SOLVE: 0.0003×40000?
12 (Move decimals 4 places on each number in different directions resulting in 3×4)
LONG-HAND: 12.42-3
4.14
SOLVE: 0.0045/0.09
10000 (Move Decimal point to simplify → 45/900 → 5/100 )
To simplify multiplication you can move the decimal in the ______ direction, while for division you move it in the _______ direction?
opposite same
SOLVE: ³√0.000027 (27×10^-6)
0.03 (pg20)
SOLVE: 0.04³
0.000064 (We know 4×4×4=64, then take the places to the right of the decimal (2) and multiply by exponent (3) to determine # of places the decimal is)
³√0.000000008
0.002 (9/3= 3 places)
Which integer values of b would give the number 2002/10-b a value between 1 and 100?
-2 -3 (pg 23)
Estimate to the nearest 10000: 4,509,982,344/5.342×10^4
90,000
SIMPLIFY: (4.5×2+6.6)÷0.003
5200
SOLVE: (4x10-²)-(2.5×10-³)
0.0375
What is 4,563,021÷10^5 rounded to the nearest whole number?
46
SIMPLIFY: (0.08)² ÷ 0.4
0.016
SIMPLIFY: [8-(1.08+6.9)]²
0.0004
Which integer values of a would give the number -37,129×10ª a value between -100 and -1?
-3 -4
SIMPLIFY: 0.00081/0.09
0.009
SIMPLIFY: ^8√0.00000256
0.2
Will the Number (I,D,SS) if you Multiply both the NUM and DEN of a POS, proper fraction by 3½?
SS
Will the Number (I,D,SS) if you Multiply a POS, proper fraction by 3/8?
D
Will the Number (I,D,SS) if you Divide a POS, proper fraction by 3/13?
I
SIMPLIFY: 8(3)(X)²(3) / 6x
12x
SIMPLIFY: (3/5+1/3) / (2/3+2/5)
7/8
Marks comic book collection contains 1/3 Killer Comics and 3/8 Shazaam Comics. The remainder of his collection consists of Boom! Comics. If Mark has 70 Boom! Comics, how many comics does he have in his entire collection?
240
The Crandalls hot tub is 1/2 filled. Their pool, which holds 4x as much water is 4/5 full. If we drained the Hot tub into the pool what fraction of the pool would be filled?
37/40 (4×10=40)
Are you allowed to split the DEN if the there are complex fractions wiht sum or differences? (Y/N/CBD)
Y
SIMPLIFY: 15+10 / 5+2
3 (4/7)
SIMPLIFY: 6x-15y / 10
3X/5 - 3Y/2
SIMPLIFY: 5x-2y / x-y
stays the same
Which is greater: 7/9 or 4/5?
4/5 (cross MULT leaving PROD on the side of the NUM)
SOLVE: 1/2 ÷ 3/4
2/3
MULT FRAC will INC/DEC the value?
DEC
DIV FRAC will INC/DEC the value?
INC
SOLVE: 5 × 1/5
1
SOLVE: √y × √7/7
1
SOLVE: 1/2 ÷ 3/4
2/3
SOLVE: 5 (2/3) ÷ 8 (1/2)
2/3
SOLVE: 8/15 × 35/72
7/27 (Shrink to 1×7 / 3×9 first by cross simplifying LCM)
SOLVE: 2 1/3 × 6 3/5
15 2/5
Are there any shortcuts for ADD & SUB FRAC's?
N
SOLVE: 3/8 + 7/12
23/24
SOLVE: 11/15 - 7/30
1/2
SOLVE: 7 1/3 + 4 1/2
11 5/6
SOLVE: 7 1/3 - 4 1/2
2 5/6
Is 5/4 and improper fraction or mixed number? 1 1/4?
IF MN
Lisa spends 3/8 of her monthly paycheck on rent and 5/12 on food. Her friend Carrie earns twice as much as Lisa, but spends 1/4 of her monthly paycheck on rent and 1/2 on food. If the two women decide to donate the remainder of their $ to charity each month, what fraction of their combined monthly income will they donate?
17/72 (pg 42)
Are √3/2 & 2√3 / 3 reciprocals? (Y/N/CBD)
Y
Estimate to the closest integer: What is 11/30 of 6/20 of 120?
≈13
The phrase "percent of" signals your going to do MULT or DIV? What is 65% of 500?
MULT 325
SOLVE: 30/100 = x/80
24
What is 40% of 80? 45%? 55%?
32 36 44
What is 75% of 21? .86 / 86 ?
15.75 73.96
90 is what % of 40? 990?
225
What % did Josh save with his $50 dollar coupon on a $500 dollar T.V.?
10%
What is 10% of 9981? 542? 600?
998.1 54.2 60
What is 20% of 542? 600? 8/10?
108.4 120
If 1/4 is 25% what is 1/8? 1/16? 1/32?
12.5% 6.25% 3.125%
If 2/5 is 40% what is 1/5? .5/5? 6/5?
20% 10% 120%
Formula for simple interest?
PxRxT (Principle × Rate × Time)
SOLVE: $5k invested for 6 months at an annual rate of 7% will earn $____ in simple interest.
175
Formula for compound interest?
P(1+r/n)^nt
SOLVE: $5000 invested for 1 year at a rate of 8% compounded quarterly will earn approximately $___.
412
SOLVE: $8000 invested for 12 years at a rate of 4% compounded monthly will earn approximately $___.
?
SOLVE: $1000 invested for 5 years at a rate of 2.5% compounded every 6 months will earn approximately $___.
?
SOLVE: $4500k invested for 3 months at an annual rate of 6% will earn $____ in simple interest.
?
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