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Special product and factoring
The product of 10 tens is 100
The product of 4 tens and 2 tens can be calculated by multiplying the numerical values of the tens, which are 4 and 2. 4 tens is equal to 40, and 2 tens is equal to 20. Multiplying 40 by 20 gives you a product of 800. So, the product of 4 tens and 2 tens is 800.
To find the last but one digit in the product of the first 75 even natural numbers, we need to consider the units digit of each number. Since we are multiplying even numbers, the product will end in 0. Therefore, the last but one digit (tens digit) will depend on the multiplication of the tens digits of the numbers. The tens digit will be determined by the pattern of the tens digits of the even numbers being multiplied.
To find the final product of 29 multiplied by 16, Garth first multiplied the ones digits (9 and 6) to get 54, which gives him 174 after considering the carry-over. Next, he multiplied the tens digits (2 and 1) to get 2, which he then added to the product of the ones digits to get 176. Finally, he added a zero to the product of the tens digits to get 290 and added this to the previous sum to arrive at the final product of 464.