Sid wrote 541,309 on his paper. using number and words, explain how the number would change if he switched the digits in the hundred thousand and tens places

The digits of the number 541,309 have the following place value:

starting from the right,

9- units
0- tens
3-hundreds
1-thousands
4-ten thousands
5-hundred thousands

switching the hundred thousand and tens place means forming the numbers:

041,359 that is 41,359

i)
First thing we notice is that the new number is a 5 digit number.

So the number of digits decreases.

ii) 
541,309-41,359=499,950

so the value of the old number is 499,950 more than the new one

iii) 541,309/41,359≈13

so, the old number is approximately 13 times greater than the new one.

i) the number of digits decreases from 6 to 5

ii) the value of the old number is 499,950 more than the new one

iii) the old number is approximately 13 times greater than the new one

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12