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4 years ago

How do you divide decimals please? for example 53.7 divided by 5.9

Mathematics

2 answers:

ozzi4 years ago

7 0

Answer:

first, work out the 5.9 times table. Then, using bus stop method, go from there.

Step-by-step explanation:

insens350 [35]4 years ago

7 0

Answer:

he trick is to get rid of the decimal point from the number we are dividing by.

How? We can "shift the decimal point" out of the way by multiplying by 10, as many times as we need to.

But we must do the same thing to both numbers in the division.

Example: 15 divided by 0.2

Let us multiply the 0.2 by 10, which shifts the decimal point out of the way:

0.2 × 10 = 2

But we must also do it to the 15:

15 × 10 = 150

So 15 ÷ 0.2 has become 150 ÷ 2 (they are both 10 times larger):

150 ÷ 2 = 75

And so the answer is:

15 ÷ 0.2 = 75

The number we divide by is called the divisor.

To divide decimal numbers:

Multiply the divisor by as many 10's as necessary until we get a whole number.

Remember to multiply the dividend by the same number of 10's.

To multiply by 10 it is easier to just "shift the decimal":

Example: Divide 6.4 by 0.4

Let us just shift the decimal point one space for both:

move 1

6.4 right arrow 64

0.4 right arrow 4

move 1

6.4/0.4 is exactly the same as 64/4,

as we moved the decimal point of both numbers.

Now we can calculate:

64 / 4 = 16

So the answer is:

6.4 / 0.4 = 16

Are there really 16 lots of 0.4 in 6.4? Let's see:

decimals divide 64 04

For harder questions we may need to use Long Division:

Example: Divide 0.539 by 0.11

Move the decimal point so the divisor (0.11) is a whole number:

move 2 spaces

0.539 right arrow 5.39 right arrow 53.9

0.11 right arrow 1.1 right arrow 11

move 2 spaces

But what about 53.9? It still has a decimal point.

Well, we can ignore the decimal point in the dividend so long as we remember to put it back later. First we do the calculation without the decimal point:

049

11)539

Now put the decimal point in the answer directly above the decimal point in the dividend:

04.9

11)53.9

The answer is 4.9

Another example:

Example: Divide 9.1 by 7

We don't need to shift the decimal point at all, as the divisor (7) is already a whole number.

Ignore the decimal point in the dividend and use Long Division:

7)91

Put the decimal point in the answer directly above the decimal point in the dividend:

1.3

7)9.1

The answer is 1.3

Step-by-step explanation:

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The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of

SCORPION-xisa [38]

Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 20.8, \sigma = 4.5$

a) Find the probability that in a given year there will be less than 21 earthquakes.

This is the pvalue of Z when X = 21. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{21 - 20.8}{4.5}$

$Z = 0.04$

$Z = 0.04$ has a pvalue of 0.5160.

So there is a 51.60% probability that in a given year there will be less than 21 earthquakes.

b) Find the probability that in a given year there will be between 18 and 23 earthquakes.

This is the pvalue of Z when X = 23 subtracted by the pvalue of Z when X = 18. So:

X = 23

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{23 - 20.8}{4.5}$

$Z = 0.71$

$Z = 0.71$ has a pvalue of 0.7611

X = 18

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{18 - 20.8}{4.5}$

$Z = -0.62$

$Z = -0.62$ has a pvalue of 0.2676

So there is a 0.7611 - 0.2676 = 0.4935 = 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

5 0

3 years ago

HELP... and plz show work #wefailing #helpmepass 25+ points to the brainlest answer

Marianna [84]

Answer:

answer 1 b

Step-by-step explanation:

answer 2 d

8 0

3 years ago

Two sides of a triangle are 6 m and 10 m in length and the angle between them is increasing at a rate of 0.06 rad/s. find the ra

Soloha48 [4]

Since this problem talks about rates of change, then the concept of calculus is very useful. But first, let's find at least two equations in order to solve this system. The first one is the area of a triangle written as

A = 1/2 ab sin θ, where a and b are the sides that from the angle θ. So, we substitute a=6 and b=10. That makes it:
A = 1/2 (6)(10)sin θ = 30 sin θ

Now, you differentiate implicitly (both sides simultaneously) with respect to time.

dA/dt = 30 cosθ (dθ/dt)

We replace dθ/dt = 0.06 rad/s, as mentioned in the problem. Then, the rate of change of the area of the triangle when θ = π/3 rad with respect to time is

dA/dt = 30cos(π/3) (0.06)
dA/dt = 1.8 m²/s

Therefore, the rate of change of the area of the triangle is 1.8 m² per second.

8 0

4 years ago

Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six

olganol [36]

Answer:

The length of the missing side can be calculated by the following steps;

Step-by-step explanation: