Final answer:
Matt wrote the number 3876.19, where the value of the 6, being in the tenths place, is 10 times larger than it was in Emma's number 3871.69.
Step-by-step explanation:
Emma wrote the number 3871.69. In this number, the digit 6 is in the hundredths place, which makes its value 6/100 or 0.06. Matt wrote a number where the value of the 6 digit is 10 times larger than in Emma's number. This means that the 6 in Matt's number should represent 0.6 in value, thus placing the digit 6 in the tenths place instead.
Considering the options provided and the position of the digit 6, the correct number that Matt wrote is 3876.19. This is because here the 6 is in the tenths place, which means it is valued at 0.6, and that is 10 times greater than the value of the 6 in Emma's number, which is 0.06.