Alexander is explaining to his younger brother the relationships among place values in this number: 222.22 fill in the appropriate value for each of alexander’s statements and explain your answer. (a) “the 2 in the hundredths place is times the value of the 2 in the tenths place.

  (a) 1/10

Step-by-step explanation:

The hundredths place is one place to the right of the tenths place. So, the value of the digit there is 1/10 the value of the same digit in the tenths place.

Digit value decreases by a factor of 10 for each place moved to the right.

Digit value increases by a factor of 10 for each place moved to the left.

Comment on place value number systems

In general, the digits increase in value by a factor of the number base as you move to the left. In a base-8 number system, for example, the digits increase or decrease in value by a factor of 8 as you move to the left or right. The purpose of the decimal point (or equivalent) is to identify the location of the units digit.

Step-by-step explanation:

Starting from the rightmost digit, 2, which is the hundredths place, the next digit to the left, which is also 2, is the tenths place.  This result, 0.2, is ten times greater than 0.02.

The same pattern applies to the remaining digits.  The ones place is 2, and this is ten times the 2 in the tenths place.  The tens place is 2, which is ten times the two in the ones place.

Finally, the initial 2 represents ten times the 2 in the tens place.

Next time, please share ALL of the possible answer choices.  Thank you.

quit

step-by-step explanation:

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841