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a) 12.456712. b) 45.3214.

a) The decimal number 12.456712 has 6 decimal spaces the number in the thousandth space is 6.

For rounding the thousandth space the number right to 6 needs to be considered. Since number 7 is greater than 5.

Rounding to the thousandth space gives the value 12.457.

b) The decimal number 45.3214 has 4 decimal spaces the number in the thousandth space is 1.

For rounding the thousandth space the number right to 1 needs to be considered. Since number 4 is smaller than 5.

Rounding to the thousandth space gives the value 45.321.

The decimal number 0.3678 has 4 decimal spaces the number in the thousandth space is 7.

For rounding the thousandth space the number right to 7 needs to be considered. Since number 8 is greater than 5.

Rounding to the thousandth space gives the value 0.368.