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goldfiish [28.3K]
3 years ago
9

1In the example problem, 2.4 X 10^6 was rewritten as 24 X 10^5. Explain why those expressions are equivalent.

Mathematics
2 answers:
Vsevolod [243]3 years ago
7 0

Answer:

2.4\times 10^6=24\times 10^5

Reason :

When in a decimal number the decimal shifted right the exponent of 10 is decreased by the number of shifting while if it is shifted left the exponent of 10 is increased by the number of shifting,

Why ?

2.4\times 10^6 =\frac{24}{10}\times 10^6=24\times 10^{-1}\times 10^6=24\times 10^{-1+6}=24\times 10^5

( By using a^m = \frac{1}{a^{-m}} and a^m.a^n=a^{m+n} )

USPshnik [31]3 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

Note that

10^6=1,000,000\\ \\10^5=100,000

Then

2.4\times 10^6=2.4\times 1,000,000=2,400,000\\ \\24\times 10^5=24\times 100,000=2,400,000

As you can see, the results are the same, so

2.4\times 10^6=24\times 10^5

This means that two given expressions are equivalent.

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I dont understand I need help
gregori [183]

Answer:

7.4825 km or 7.48 km (rounded to nearest hundredth)

Step-by-step explanation:

<u>Ranch's measurements rounded up to the nearest hundredth:</u>

1st measurement = \sqrt{60} = 7.75 km

2nd measurement = \frac{58}{8} = 7.25 km

3rd measurement = 7.3(recurring) = 7.33 km

4th measurement = 7\frac{3}{5} = 7.60

<u>The average of the four measurements is:</u>

(7.75 + 7.25 + 7.33 + 7.60) ÷ 4 = 7.4825 km or 7.48 km (rounded to nearest hundredth)

6 0
3 years ago
The diameter of fishing line varies. Fishing lines can have a diameter as small as 2 x 102 inch and as large as 6 x 10-2 inch. H
Reil [10]
Answer:
3 times

Explanation:
We know that:
small diameter = 2 * 10^-2 in
large diameter = 6 * 10^-2 in

We want to know how many times larger is the thin diameter compared to the large one.
We will do this as follows:
large diameter = k * small diameter
where k is the number of times that we want to find
6 * 10^-2 = k * 2 * 10^-2
k = (6 * 10^-2) / (2 * 10^-2)
k = 3

This means that the large diameter is 3 times the small one.

Hope this helps :)
4 0
3 years ago
The number divided by -4 is increased by -63, the result is -45. What is the number? 
Pavlova-9 [17]
X / (-4) + ( -63) = -45 <=> x / ( -4) = 63 - 45 <=> x / (-4) = 18 <=> x = 18 * (-4) <=> x = -72.
3 0
3 years ago
Read 2 more answers
Divide<br><br> -5/9 by 5/7 :<br><br> a)-7/9<br> b)-9/7<br> c)7/9<br> d)9/7
Reil [10]

Answer:

a

Step-by-step explanation:

-5/9 ÷ 5/7

= -5/9 × 7/5

= -7/9

The answer should be a

4 0
3 years ago
In a big garden 60% of the trees are coconut trees,25%of the number of coconut trees are mango trees and 20% of the number ofof
AVprozaik [17]
<span>the number of trees in the garden = x
</span><span>coconut trees = 0.6x
</span><span>mango trees = 0.6x * 0.25 = 0.15x
</span><span>apple trees = 0.15x * 0.2 = 0.03x


0.03x = 1500
x = 1500/0.03
x = 50 000   </span>← <span>the number of trees in the garden.</span>
3 0
3 years ago
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