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lianna [129]
3 years ago
7

When multiplying a number by 10, move the decimal to the right. When multiplying a number by 0.1, move the decimal to the left.

Why? :( HELP IM TiMED
Mathematics
2 answers:
ki77a [65]3 years ago
6 0

Answer: 0.01 x 10 = .1

it moved ten spaces up or in simpler terms the decimal move one space to the right because the number is getting bigger.

Step-by-step explanation:

jek_recluse [69]3 years ago
6 0

Answer: When you multiply decimals they should add up otherwise move to the left but if you multiply by 10 the decimal moves to the right because of the change in numbers from ones to hundreds and so on. An easier way to unterstand is when you multiply the regular way don't multiply the decimal but count however many places that decimal takes up add it with the other decimals and the put it in the solution. EX:

5                      1.2

x.1                  x 2.28

--------         --------------

.5                     2.736

Step-by-step explanation:

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Which of the following statements could be used in the proof?
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Option (3)

Step-by-step explanation:

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5 0
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Find the largest prime divisor of $15^6 - 7^6$<img src="https://tex.z-dn.net/?f=Find%20the%20largest%20prime%20divisor%20of%20%2
Novosadov [1.4K]

Answer:

Largest prime factor of the given expression is <em>379.</em>

Step-by-step explanation:

Given the expression:

15^6 - 7^6

To find:

The largest prime factor of the given expression.

Solution:

First of all, let us factorize the given expression.

15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)

Let us learn two formula:

x^3+y^3 = (x+y)(x^2+y^2-xy)

x^3-y^3 = (x-y)(x^2+y^2+xy)

Applying the above formula in the expression written above:

(15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2 ...... (1)

Similarly:

(15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379........ (2)

Multiplying the expressions from (1) and (2) to get the result:

\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2

So, largest prime factor of the given expression is <em>379.</em>

7 0
3 years ago
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