We are familiar with the fact that, in base 10, multiplying by a power of 10 that is greater than 1 (that is, 10, 100, 1000, and so on) is easily done by appending an appropriate number of zeros after the other factor. for example, 4379 x 10 = 43,790 and 2500 x 10,000 = 25,000,000 in the following, we see that this is true in other bases as well. 1. perform the following operations in base-6 place values using the the base-6 numerals a, b, 7, 8, and e, and place holder a) twenty-three times six (6). how many place holders are appended to the base-6 numeral for twenty-three in the product? b) four times one thousand, two hundred ninety-six (64). how many place holders are appended to the base-6 numeral for four in the product? 2. perform the following operations in base-4 place values using the base-4 numerals 1, a, and v, and place holder o. a) nine times sixty-four (43). how many place holders are appended to the base-4 numeral for nine in the product?
b) sixty-one times sixteen (42). how many place holders are appended to the base-4 nur for sixty-one in the product?