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Transcript of $100 $200 $300 $400 $500 $200 $300 $400 $500 Estimating and Rounding Measures of Central Tendency...
$100 $100 $100 $100 $100
$200
$300
$400
$500
$200 $200 $200 $200
$300 $300 $300 $300
$400 $400 $400 $400
$500 $500$500 $500
Estimating and Rounding
Measures of Central Tendency
HeuristicsOne Step Equations Metric System
Estimating and Rounding for $100
Round to the tenths place:
71.349
Answer
Back
71.349 => Tenths place
71.349 => The four rounds down
71.3
Estimating and Rounding for $200
Estimate by rounding to the ones place:
11.49 – 5.15
11.49 – 5.15 => 11 – 5 = 6
Answer
Back
Estimating and Rounding for $300
Estimate using front end estimation:
9.327 + 5.72 + 4.132 = ?
9.327 + 5.72 + 4.132 = ?
9.327
5.72
+ 4.132
18 1.1 18 + 1.1 = 19.1
Answer
Back
Estimating and Rounding for $400
Estimate using clustering:
21.2 + 20.7 + 22.1 + 20.3 + 21.1
21.2 + 20.7 + 22.1 + 20.3 + 21.1
Each one is close to 21 so,
21 * 5 = 105
Answer
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Estimating and Rounding for $500
Estimate 40.364 / 7.811 using compatible numbers
Answer
Back
40.364 / 7.811
40 / 8 because these are compatible numbers (they divide evenly)
40/8 = 5
Measures of Central Tendency
for $100
Find the range:
9, 23, 5, 57, 9, 3
Range is
largest # - smallest #,
So 57 – 3 = 54
Answer
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Measures of Central Tendency
for $200
Find the mode:
Cam, tao, dau, cam, dau, xoai, xoai, thom, tao, cam, xoai, chom chom
Answer
There are 2 modes:
Cam and xoai each occur three times
Back
Measures of Central Tendency
for $300
Find the median:
10, 23, 17, 20, 21, 5, 14, 10
Answer10, 23, 17, 20, 21, 5, 14, 10Re-order the numbers from least to
greatest:
5, 10, 10, 14, 17, 20, 21, 23There are 2 middle numbers: 14
and 17. The mean of these 2 numbers is 31/2 = 15.5
Back
Measures of Central Tendency
for $400
Which measure of central tendency best describes the following situation?
Height of buildings in district 1
Median
Answer
Back
Measures of Central Tendency
for $500
Find the mean and the outlier(s) (if any). Describe how the outlier(s) effect the mean:
120, 97, 113, 110, 24, 107
Answer120, 97, 113, 110, 24, 107Mean: (119+97+113+110+24+107)/6 = 95Outlier: 24 => it is much smaller than the
rest of the numbersMean Without Outlier:(119+97+113+110+107)/5 = 109.2The outlier decreases the mean by 14.2
Back
One Step Equations for $100
Find the perimeter of a rectangle if the length is 8cm and the width is 3cm
Answer
Perimeter of a rectangle = 2(l+w)
Length = 8cm; Width = 3cm
P = 2(l+w) = 2(8cm+3cm) = 2(11cm)
= 22cm
Back
One Step Equations $200
Solve for x:
-5.2 + x = 7.1
Answer
Back
-5.2 + x = 7.1-5.2 + 5.2 + x = 7.1 + 5.2x = 12.3
One Step Equations for $300
The formula for the surface area of a sphere is SA = 4(pi)r2
If the radius is 2m, what is the surface area?
SA = 4(pi)r2
r = 2mSA = 4(3.14)*22 = 4*3.14*4 = 16 * 3.14 = 50.24m2
Answer
Back
One Step Equations for $400
Solve for x:
x/(-5) = 8
x/(-5) = 8x/(-5) * (-5) = 8 * (-5)X = -40
Answer
Back
One Step Equations for $500
Write and solve an equation for the following situation:
Madison bought 12 mangos and spent 93,000 Dong. How much did she spend on each mango?
Answer
Let x equal the price of each mango. Then, 12x = 93,000D
So, x = 7750D
Back
The Metric System for $100
10 grams = 1 ______
Answer
10 grams = 1 dekagram
Back
The Metric System for $200
27.92 milliliters = ____ liters
27.92 milliliters = 0.02792 liters
Answer
Back
The Metric System for $300
2.84 hectometers = ____ millimeters
2.84 hectometers = 284,000 millimeters
Answer
Back
The Metric System for $400
What is the appropriate unit of measure to estimate the capacity of a sink?
Answer
Liters
Back
The Metric System for $500
Estimate the height of the classroom using appropriate units. (must be close)
Answer
Back
Actual Height: 2.79 meters
Heuristics for $100Chloe stacks some blocks as shown. If
she continues the pattern to 10 rows, what is the total number of blocks she will use in the 10th figure? The figure below is the 5th figure in the pattern.
Answer
First row is 1 block, 2nd is 2 blocks, 3rd is 3 blocks and so on. So, 10 rows would be 10+9+8+7+6+5+4+3+2+1 = 55 blocks
Back
Heuristics for $200
Beginning at 6:50 A.M., planes leave an airport for New York every 45 minutes. You arrive at the airport at 10:15 A.M. How long will you have to wait for the next plane to New York?
Answer
6:50 + 45 = 7:35 + 45 =
8:20 + 45 = 9:05 + 45 =
9:50 + 45 = 10:35
10:35 – 10:15 = 20 minutes
Back
Heuristics for $300
The houses on your street are numbered with odd numbers starting with 1 and ending with 201. How many house numbers contain at least one 7?
AnswerFrom 1 – 100, the odd numbers
with at least one 7 are:7, 17, 27, 37, 47, 57, 67, 71, 73,
75, 77, 79, 87, 97There are 14 numbers. So in
200 there would be 14*2 = 28 numbers
Back
Heuristics for $400
A dime is 1.25 mm thick. How many meters high would a stack of dimes worth $50 be?
Answer
Back
There are 10 dimes in a dollar, so
$50 * 10 dimes/dollar = 500 dimes
500 dimes * 1.25mm/dime = 625mm
1000mm = 1 m so,
625/1000 = 0.625m
Heuristics for $500
A school band has a brass section of trumpet, trombone, and tuba players. There are twice as many trombones as tubas, and half as many trombones as trumpets. If there are two tubas in the band, what is the total number of players in the brass section?
Answer
Back
Let x be the number of tubas, then
x = 2
Number of trombones = 2x = 4
Number of trumpets = 2*2x = 4x =8
2+4+8 = 14 total players
