Lesson 1-8
2. 16
4. 17
Lesson 1-9
5.A. 5463 divided by 9= 607. Multiply 607 by 9 to check your answer. B. 6.00-3.98= 2.02 C. 5.70x0.03= .1710 I moved the decimal over 4 places. D. 4 1/2 divided by 6= 9/12 or ¾. E. 18 1/5-12 2/3= 5 8/15 I found a common denominator. F. 25.75+40.00= 65.75 G. 546.30 divided by .09 move the decimal over two to the right and you get 6070 as your answer. H. 6 divided by 4 ½ flip the second fraction and you get 1 1/3 as the answer. I. 13 7/8+6 1/3 find a common denom as 24 to get 20 5/24 as the answer. J. 8 2/5x1 5/7= 14 2/5 as the answer. Lesson 2-1

1.A. 162,87,75 87+75=162, 75+87+162, 162-87+75, 162-75=87 addition and subtraction. B. 2,4,2 2+2=4 2+2=4 4-2=2 4-2+2 Addition and Subtraction C. ¼, 1/6, 2/3 find a common denominator of 24 and solve. 1/4 x2/3=1/6, 2/3x1/4=1/6, 1/6 divided by 1/4=2/3 1/4divided by 1/6=2/3 Multiplication and Division. D. 2.2,6.6,12.12= NONE 5.A. 1000x15= 15000 B. 20.00-12.98= 7.02 C. 345 divided by 100= 3.45 D. 2/3-1/10= 17/30 found a common denominator. E. 36.4+3.6+4.0= 44.0 F. 1/2x3/2= ¾ G. 2850x6.4= 1824 H. 28.5x6.4= 182.4 move the decimal over 2 places. I. 3612 divided by 42= 86 J. 1/10+17/30 find a common denominator of 30 to get 2/3. L. 3/4x2/1= 1 ½ Lesson 2-2

3.A. o=positive x=negative
Xxxxxx, xxxxxxooo, xxx,oooooo,xxxxxxxxx
B. ooo, oooox, oooooxx

...multiplying. These are my favorites... First you take your numbers. Find the common denominator, make it improper, do whatever you have to do to get two fractions that do not have a whole number.
2/3 *6/4
Next, see if you can cross reduce.
2 goes into 2 1 time. 3 goes into 3 1 time.
2 goes into 4 2 times. 3 goes into 6 2 times.
1/1*2/2
Now just multiply straight across.
1*2 and 1*2 is 2/2
2/2=1
Finally, on to division. Mostly you use the same procedure as multiplication. The only difference is the reciprocal. To get a reciprocal, you find the inverse, or flip it over (I.E. 2/3=3/2). Dividing is the same as multiplying by the reciprocal.
2/3 ) 2/3
Always flip the second number over.
2/3 )3/2
Then just multiply regularly.
The answer is: 1
Fractions can be very useful. From slices of pizza, to the amount of land in an area that an atomic bomb blows up, fractions come in all shapes and sizes. The above essay is just a skimming over the top of the subject. It gets more and more complicated....

... Unit – Rates, Ratios, Proportions
Rates
A car travelled 348 km in 4 hours .Write the unit rate that describes how fast the car was going.
348 4
4 4
87 1
The car travelled 87 km per hour.
Ratios
A ratio is comparison of measured quantities.
It can be written in two ways:
1. 5:6
2. 5/6
Proportions
A proportion is a statement that two ratios are equal.
1. 4:6 = 2:3
2. 4/6 = 2/3
Fractions into Decimals
Divide numerator with denominator
1. 2/5
= 0.4
2. 6/20
=0.3
Fractions into Percent
Change the fraction to decimal first. Then multiply the decimal by 100.
1. 4/5 = 0.4 =0.4 * 100
=40%
2. 8/40
=0.2 * 100
=20%
Decimals to fraction
Count the decimal places. Reduce
1. 0.432
=432/1000
=54/125
2. 1.52
=152/100
=76/50
=38/25
Decimal to Percent
Multiply with the decimal with 100.
1. 0.45
=0.45 * 100
=45%
2. 0.325
=0.325 * 100
=32.5%
Percent to Fraction
Take the fraction and place it over 100.
1. 25%
=25/100
=1/4
2. 16%
=16/100...

...left. How many children received candies?
__________14. Liza has ₱ 42. Mike has twice as much money as Liza. How much
money do Liza and Mike have together?
________15. What is the perimeter of the figure?
________16. How many square meters is the area of the same figure?
Grade I MTAP Math Challenge Questions and Reviewer II
Solve each item and write the answer on the blank before the number.
___________1. Lucy bought school supplies amounting to ₱89.85. She gave the
cashier ₱100-bill. How much change did she get?
___________2. In 14,16, 18, ______, N, 24, 26. What is N?
___________3. In 53, 55, 57,N, _____, 63. What is _____?
___________4. What is the next number in 12, 14, 16, ____, 20, 22?
___________5. What is the number next in 1, 2, 4, 7, 11, 16, _____?
___________6. What is the next number in 12, 13, 15, 18, 22, 27, ____?
___________7. If Rose started to study at 7:15 AM and spent 55 minutes studying,
what time did she finish?
__________8. If Manny started to study at 8:45 AM and spent 35 minutes studying,
what time did he finish?
__________9. Vance is scheduled to answer the review at 12:26 PM and he is given
only 1 hour and 35 minutes to finish the test, what time will he be finished?
_________10. If Sarah started to study at 9:55 AM and spent 35 minutes studying, what
time did she finish?
_________11. Choose “” to put in the blank in ____ .
_________12. Choose “” to put in the blank in ____ ....

...Calculators can perform math functions quickly and easily. The most common functions are addition (+), subtraction (-), multiplication (*) and division (/). Press the “=” sign to get the answer. Note that many calculators use different symbols for multiplication (x) and division (÷), and "C" for "Clear"—the erase function.
To use the calculator,
The Simple Virtual Calculator supports the following operations:
• Addition (key '+')
• Subtraction (key '-')
• Multiplication (key 'X')
• Division (key '/')
Memory Operation
The calculator has one memory that can be used for storing values temporarily. To clear the memory (set it's value to 0), press the key 'MC'. To recall the value stored in memory use the key 'MR'. To add to the value in memory, press 'M+'. To subtract a value from the memory use the key 'M-'.
Turn the calculator on by pressing the "On/C" button. Turn the device off by pushing the "2ndF" button and then "Off."
ON
CE.C clears the last number you entered (‘clear entry’) and turns the calculator on.
AC clears all numbers entered (‘all clear’).
This is what a calculator can look like. However, every calculator is slightly different.
Keys
÷ x + are called operation keys.
0. is the display (for the numbers you have entered
and the answer when you finish).
More function keys
These keys are called advanced function keys.
% is the percentage key.
+/- changes between positive and negative numbers.
MR...

...becomes 8.3%
✔Changing percent to fraction
Change a percent to a fraction. The percent becomes the numerator, which you divide over 100 and then simplify, or reduce to its lowest form.
Example: 36% turns to 36/100.
To simplify, look for the highest number that goes into 36 and 100. In this case, that would be 4.
Determine how many times 4 goes into 36 and 100. When you simplify, the answer would be 9/25.
✔Changing fraction or mixed numbers to percent
Converting a Fraction to a Percent
Do the following steps to convert a fraction to a percent:
For example: Convert 4/5 to a percent.
Divide the numerator of the fraction by the denominator (e.g. 4 ÷ 5=0.80)
Multiply by 100 (Move the decimal point two places to the right) (e.g. 0.80*100 = 80)
Round the answer to the desired precision.
Follow the answer with the % sign (e.g. 80%)
●ALIQUOT PARTS
✔ALIQUOT PARTS OF 100%
CONVERTING COMMONLY USED FRACTIONS TO ALIQUOT PARTS OF 100%
Fractions are easily converted to aliquot percents. Just divide the numerator by the denominator and convert the decimal to a percent. Carry the answer out to two decimal places. If there is a remainder, express it as a fraction.
●Markup
The markup percentage can best be defined as the increase on the original selling price. The markup sales are expressed as a percentage increase as to try and ensure that a company can receive the proper amount of gross or profit...

...Subtract the last digit from twice the rest. | 324: 32 × 2 − 4 = 60. |
13 | Form the alternating sum of blocks of three from right to left.[6] | 2,911,272: −2 + 911 − 272 = 637 |
| Add 4 times the last digit to the rest. | 637: 63 + 7 × 4 = 91, 9 + 1 × 4 = 13. |
| Multiply each digit (from right to left) by the digit in the corresponding position in this pattern (from left to right): -3, -4, -1, 3, 4, 1 (repeating for digits beyond the hundred-thousands place). Then sum the results.[7] | 30,747,912: (2 × (-3)) + (1 × (-4)) + (9 × (-1)) + (7 × 3) + (4 × 4) + (7 × 1) + (0 × (-3)) + (3 × (-4)) = 13. |
14 | It is divisible by 2 and by 7.[5] | 224: it is divisible by 2 and by 7. |
| Add the last two digits to twice the rest. The answer must be divisible by 14. | 364: 3 × 2 + 64 = 70.
1764: 17 × 2 + 64 = 98. |
15 | It is divisible by 3 and by 5.[5] | 390: it is divisible by 3 and by 5. |
16 | If the thousands digit is even, examine the number formed by the last three digits. | 254,176: 176. |
| If the thousands digit is odd, examine the number formed by the last three digits plus 8. | 3,408: 408 + 8 = 416. |
| Add the last two digits to four times the rest. | 176: 1 × 4 + 76 = 80.1168: 11 × 4 + 68 = 112. |
| Examine the last four digits.[1][2] | 157,648: 7,648 = 478 × 16. |
17 | Subtract 5 times the last digit from the rest. | 221: 22 − 1 × 5 = 17. |
18 | It is divisible by 2 and by 9.[5] | 342: it is divisible by 2 and by 9. |
19 |...

...above?
Selected Answer: E.
H0: p ≥ 0.19 HA: p < 0.19
Correct Answer: B.
H0: p ≥ 0.19 HA: p < 0.19
Question 2
1 out of 1 points
What is the value of the test statistic? Selected Answer: C.
-1.140
Correct Answer: C.
-1.140
Question 3
1 out of 1 points
Which of the following correctly characterizes the p-value? Selected Answer: D.
p-value > .10
Correct Answer: D.
p-value > .10
Question 4
1 out of 1 points
What is the correct decision? Selected Answer: B.
Do Not Reject H0
Correct Answer: B.
Do Not Reject H0
Question 5
0 out of 1 points
Questions 5 through 8 refer to the following:
In 1985, the mean weight of players in the National Football League was 225 pounds. A random sample of 50 players taken during the 2012 season showed a mean weight of 249.7 pounds with a sample standard deviation of 35.2 pounds. The researcher is interested in finding evidence at the .05 level that the mean weight of NFL players has increased since 1985.
Which of the following pairs of hypotheses is suggested by the scenario described above?
Selected Answer: D.
H0: μ = 225 HA: μ ≠ 225
Correct Answer: C.
H0: μ ≤ 225 HA: μ > 225
Question 6
1 out of 1 points
What is the value of the test statistic? Selected Answer: B.
4.962
Correct...

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