The motto In God We Trust didn't appear on US $100 bills until 1963 so it's not a mistake. Please see the Related Question for more information.
It's not a dollar, no dollar US coins were issued in 1906 the last year was 1904. The coin is likely a 1906 Barber Half dollar and if it has so much wear you can't read the words HALF DOLLAR on the reverse the value is just for the silver in the coin, about $6.00
The US printed two types of bills with that date. Silver Certificates have blue seals and the words SILVER CERTIFICATE on them; US Notes have red seals and the words UNITED STATES NOTE.Depending on which you have, please see one of the following questions for more information:What is the value of a 1923 US 1 dollar silver certificate?What is the value of a 1923 1 dollar US Note?
All Morgan dollars (named for their designer George T. Morgan) have the same reverse image: an eagle with outstretched wings, surrounded by a wreath, the words In God We Trust, United States of America, and One Dollar.
There's no coin called a "1 cent dollar". Because a cent is 1/100 of a dollar the two words have different meanings. Please check your coin again and post a new, separate question indicating whether it's a cent or a dollar.
???The Walking Liberty design was used on half-dollars from 1916 to 1945, and on modern bullion pieces.There were no dollar coins of any design struck in 1816.Assuming you have a 1916 half-dollar (you did look at the denomination on the back, didn't you?) its value depends on its condition and mint mark.With no mint mark, retail values as of 09/2008 are roughly $50 in very worn condition, $90 with moderate wear, and $200 with almost no wear.With a D under the words "In God We Trust", $45 / 80 / 225With an S, $107 / 260 / 600
All 1935-E Silver Certificates were printed without the words "IN GOD WE TRUST" ... this was not added until Series 1935-G. In circulated condition, it's worth about $2.00 A nice crisp uncirculated one is worth about $5.00
Money gets its value from the confidence that the public has in its acceptability. An example of such monetary system, is the United States monetary system. If you ever noticed the words in any dollar bill which says "In God We Trust" was first used in 1957. Before that date, dollar bills were showing "Silver Certificate". That means the dollar's value was equal to silver. But now the dollar is equal to how much you trust in the dollar and the monetary system. If the public lose the confidence, the dollar bill would worth nothing but a piece of paper. Basically, "In God We Trust" is a way to ask public in a nice way to never lose faith of the dollar, not God.
My Black Book is a few years old, but it lists this note's retail value at $11 in uncirculated condition. Average dealer buy price for a used example is about $1.60. It's actually worth a little less than the one with the motto.
dollar value at current prices
There are no four-letter words on the dollar bill. The dollar bill contains various phrases and text, including "United States of America," "Federal Reserve Note," and "In God We Trust," but none of them are four-letter words.
This Silver Certificate in Crisp uncirculated condition is valued at $37.50. In circulated condition its value is much less, around $8. Note that the motto wasn't added to $5 bills until 1963 so your bill is not an error. NO U.S. bills have the words "In God You Trust". Take a look, it's "In God We Trust"
The new presidential gold dollar coins are not made of Gold so they are only worth one dollar. The mint has made so many errors on the edge of the coins that it does not increase the value of the coin more than one dollar.
All Series 1935-E Silver Certificates were printed without the IN GOD WE TRUST on the back -- this is normal for those notes. This motto was not added until 1935-G In circulated condition, it's worth about $2.00 A nice Crisp Uncirculated one is worth about $5.00
First, look at the back of the coin for the words HALF DOLLAR then post a new question and include the date.
It's not a dollar, no dollar US coins were issued in 1906 the last year was 1904. The coin is likely a 1906 Barber Half dollar and if it has so much wear you can't read the words HALF DOLLAR on the reverse the value is just for the silver in the coin, about $6.00
The US printed two types of bills with that date. Silver Certificates have blue seals and the words SILVER CERTIFICATE on them; US Notes have red seals and the words UNITED STATES NOTE.Depending on which you have, please see one of the following questions for more information:What is the value of a 1923 US 1 dollar silver certificate?What is the value of a 1923 1 dollar US Note?
All Morgan dollars have the same reverse design, with only a few very minor variations. None were minted without the words ONE DOLLAR. It's possible you have a copy, replica, or counterfeit but it would have to be examined in person to know for sure.