Expanding Brackets:

Expanding brackets is a basic mathematical concept that involves multiplying two or more terms. In this case, we will expand the brackets for the expression 102 multiplied by 103.

Step 1: Write out the expression

The first step is to write out the expression that we want to expand. In this case, the expression is:

102 x 103

Step 2: Multiply the tens place digits

The next step is to multiply the tens place digits of the two numbers. In this case, the tens place digits are 0 and 0. When we multiply 0 and 0, we get 0.

Step 3: Multiply the ones place digits

The next step is to multiply the ones place digits of the two numbers. In this case, the ones place digits are 2 and 3. When we multiply 2 and 3, we get 6.

Step 4: Multiply the tens and ones place digits

The next step is to multiply the tens place digit of one number with the ones place digit of the other number and add it to the product of the ones place digits. In this case, we will multiply the tens place digit of 102 (i.e. 1) with the ones place digit of 103 (i.e. 3) and add it to the product of the ones place digits (i.e. 6).

1 x 3 = 3

6 + 3 = 9

Step 5: Write out the expanded expression

The final step is to write out the expanded expression by combining the products obtained in steps 2, 3, and 4.

102 x 103 = 10,506

Therefore, the expanded expression for 102 multiplied by 103 is 10,506.

(100+2) x (100+3)
=(100x100) +(2x100) +(3x100) + (2x3)
=10000+200+300+6
=10506