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3 years ago

what pattern do you notice in the placement of the decimal point when multiplying 0.36 by 10 and by 100

Mathematics

2 answers:

garik1379 [7]3 years ago

7 0

Answer:

The pattern is that the decimal point moves the same number of decimal points to the right as zeros the power of ten has.

Step-by-step explanation:

To multiply a decimal number by a power of ten (such as 10, 100, 1,000, etc.), count the number of zero in the power of ten. Then go to the right the decimal point the same number of positions.

For example, 0.36 * 10 = 3.6. The multiplier 10 has one zero, so you move the decimal point in 0.36 one position to the right to get the product 3.6.

A second example, 0.36 * 100 = 36. The multiplier 100 has two zeros, so you move the decimal point in 0.36 two positions to the right to get the product 36.

So, the pattern is that the decimal point moves the same number of decimal points to the right as zeros the power of ten has.

svet-max [94.6K]3 years ago

6 0

Answer:

To multiply a decimal number by a power of ten (such as 10, 100, 1,000, etc.), count the number of zero in the power of ten. Then go to the right the decimal point the same number of positions.

Step-by-step explanation:

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The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York

beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and let the distance covered by KY is y

Total distance covered is $x+y=720$ ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t+2=\frac{x}{80}$ .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t=\frac{y}{60}$ .......[3]

Put the value of t from [3] into [2]

$\frac{x}{80}- \frac{y}{60}=2$ ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], $y=720-x$

$\frac{x}{80}- \frac{y}{60}=2$

$\frac{x}{80}- \frac{720-x}{60}=2$

$\frac{60x-80(720-x)}{80\times60}=2$

$60x-57600+80x=9600$

$140x-57600=9600$

$140x=57600+9600=67200$

$x=\frac{67200}{140}=480$

Put x=480 in [1]

$x+y=720$

$480+y=720$

$y=240$

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

$t=\frac{y}{60}$

$t=\frac{240}{60}$

$t=4$

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.

7 0

3 years ago

Q3. a. Simplify the following ratios. 360:120:60

Maslowich

Answer:

6：2：1

Step-by-step explanation:

360÷60=6

120÷60=2

60÷60=1

4 0

3 years ago

Hey scale drawing of Jamy’s living room is 4cm in width and 6cm length. If each 2cm on the scale drawing equals 8 feet what are

igor_vitrenko [27]

2 cm = 8 feet.
4 / 2 = 2. 8 * 2 = 16. 16 feet in width.
Now, the length:
6 / 2 = 3. 8 * 3 = 24. 24 feet in length.
The actual dimensions are 16 feet in width and 24 feet in length.

5 0

3 years ago

Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are equals 7 trials, eac

NeTakaya

Answer: 0.5

Step-by-step explanation:

Formula for binomial probability :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The number of trails : n=7

The probability of success for each trial : p=0.5

Now, the probability that the number x of correct answers is fewer than 4 will be :-

$P(x$

Hence, the probability that the number x of correct answers is fewer than 4 = 0.5

4 0

3 years ago

Read 2 more answers

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steposvetlana [31]

Answer:

Its 6/3

Step-by-step explanation:

8 0

3 years ago

what pattern do you notice in the placement of the decimal point when multiplying 0.36 by 10 and by 100​

what pattern do you notice in the placement of the decimal point when multiplying 0.36 by 10 and by 100