In the number below, what happens to the value of the digit 3 when it is moved one place value to the left?

Mathematics

1 answer:

Elis [28]3 years ago

5 0

Answer:

it increases by a factor of 10, hence option B is the answer

Step-by-step explanation:

Initial Figure = 2037

When it is moved one place to the left, it increases from tens to hundreds

Hence option B is the answer

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The mold for a cone has diameter of 4 inches and is 6 inches tall what is the volume of the cone mold to the nearest tenth

Nesterboy [21]

The formula for the volume of a cone is
v = ( 1 / 3) h pi r^2
where h is the height of the cone
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r is the radius of the cone

since diameter is given
D = 2r
r = D/2 = 4/2 = 2 in

substitute the given
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Randy said that the number 0.03 has a value 10 times greater than 0.003 is he correct.

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13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult

Vlad [161]

Answer:

[a,b] divides n

Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

(1) ... n=mq+r, where 0<r<m

As n is a multiple of a and b, there exists s and t integers such that:

sa=n and tb=n

Same thing happens to m as it is the least common multiple, there exists u and v such that:

ua=m and vb=m

So (1) has the following form:

n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and

n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r

So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.

So this means that $\frac{ab}{m}$ is and integer.

As m= vb, then $\frac{m}{b}$ is an integer, lets say $\frac{m}{b}$ =v; and as m=ua, then $\frac{m}{a}$ =u.

So $\frac{ab}{m}$ v= $\frac{ab}{m}$ $\frac{m}{b}$ =a, so $\frac{ab}{m}$ divides a; on the other hand, $\frac{ab}{m}$ u= $\frac{ab}{m}$ $\frac{m}{a}$ =b, so $\frac{ab}{m}$ divides b. From this we can conclude that $\frac{ab}{m}$ is a common divisor of a and b.