Explain how your knowledge of place value you divide a number in the thousands by whole numbers to 10.give an example to support your explanation.

The place value system is a system where the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right.

Dividing a number by ten causes the number to loose one place and then take the next place value to the right.

For example, the number 12,380 has the place value of 1 'ten thousands', 2 'thousands', 3 'hundreds', 8 'tens' and 0 'ones'.

12,380 / 10 = 1,238

where, the number 1,238 has the place value of 1 'thousands', 2 'hundreds', 3 'tens' and 8 'ones'.

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

The answer would be 27 because assuming that each package has 1 bar of soap and 1 tube of toothpaste, after 27 packages they would run out of toothpaste