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What is the greatest decimal you can write using the digits 1, 0, 7, and 4 if there is a non-zero digit in the hundredths place?

a) 7.401

b) 7.410

c) 7.014

d) 0.714

1 Answer

4 votes

Final answer:

The greatest decimal that can be written using the digits 1, 0, 7, and 4 with a non-zero digit in the hundredths place is 7.410.

Step-by-step explanation:

To find the greatest decimal using the digits 1, 0, 7, and 4 with a non-zero digit in the hundredths place, we need to create the largest possible number.

Starting with the hundreds place, the largest digit available is 7. Then, we fill the tenths and units places with the largest remaining digits, 4 and 0, respectively. Finally, we use the available digit 1 in the hundredths place. Therefore, the greatest decimal is 7.410 (option b).

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