Yes, .42 is a bigger decimal than .420. Let me explain why.
When comparing decimals, we start by looking at the whole number parts, which in this case are both 0. Since they are the same, we move on to the decimal parts.
In .42, the decimal part is .42, and in .420, the decimal part is also .420. The decimal part in .420 has an extra zero compared to .42.
To compare decimals, we compare digit by digit, starting from the left. In this case, the first digit is the same, which is 4. Then, we move to the second digit. In .42, the second digit is 2, while in .420, the second digit is O.
Since 2 is greater than 0, we can conclude that .42 is bigger than .420. The additional zero in .420 does not change the value of the decimal.
In summary, even though .42 and .420 have the same whole number part, the second digit after the decimal point in .42 is greater than the second digit in 420, making .42 the larger decimal.