Step 1a

Firstly, convert the first decimal number into a fraction 12.025 = \$12025/1000\$

Convert the second decimal number into a fraction 12.25 = \$1225/100\$

Explanation: In this step, simply convert given decimals into a fraction.

12.025 to \$12025/1000\$ and 12.25 to \$1225/100\$

Step 1b

Therefore,12.025 & 12.25 are not equivalent decimals as they do not represent the same fraction.

Explanation: 12.025 and 12.25 do not represent the same fraction.

Step 2a

To write 536.876 in its correct place value notation, we should note that 5 is in the hundreds place, 3 is in the tens place, and 6 is in the ones place.

For the decimal part, 0.876, 8 is in the tenth place, 7 is in the hundredth place, and 6 is in the thousandth place.

Explanation: 536.876 in place value notation is 5 in the hundreds, 3 in the tens, and 6 in the ones place.

The decimal part is 0.876, with 8 in the tenth, 7 in the hundredth, and 6 in the thousandth place.

Step 2b

Move to the next step, to find the place value of 536.876, let’s break it down. The place value of 5 in the whole number is 500, the place value of 3 is 30, and the place value of 6 is 6.

Now, for the decimal part 0.876, the place value of 8 is 0.8, the place value of 7 is 0.07, and the place value of 6 is 0.006.

Explanation: In this step, you need to identify the place value in the decimal number 536.876.

The 5 in 500.3 represents 30 and the 6 represents 6 units. The 0.8 is 8/10, 0.07 is 7/100, and 0.006 is 6/1000.