Write the following as a sum using powers of 10 to show place value.
-0.300398
A) $0 \cdot 10 ^ { 0 } + 3 \cdot 10 ^ { 1 } + 0 \cdot 10 ^ { 2 } + 0 \cdot 10 ^ { 3 } + 3 \cdot 10 ^ { 4 } + 9 \cdot 10 ^ { 5 } + 8 \cdot 10 ^ { 6 }$
B) $0 \cdot 10 ^ { - 1 } + 3 \cdot 10 ^ { - 2 } + 0 \cdot 10 ^ { - 3 } + 0 \cdot 10 ^ { - 4 } + 3 \cdot 10 ^ { - 5 } + 9 \cdot 10 ^ { - 6 } + 8 \cdot 10 ^ { - 7 }$
C) $0 \cdot 10 ^ { 1 } + 3 \cdot 10 ^ { 0 } + 0 \cdot 10 ^ { - 1 } + 0 \cdot 10 ^ { - 2 } + 3 \cdot 10 ^ { - 3 } + 9 \cdot 10 ^ { - 4 } + 8 \cdot 10 ^ { - 5 }$
D) $0 \cdot 10 ^ { 0 } + 3 \cdot 10 ^ { - 1 } + 0 \cdot 10 ^ { - 2 } + 0 \cdot 10 ^ { - 3 } + 3 \cdot 10 ^ { - 4 } + 9 \cdot 10 ^ { - 5 } + 8 \cdot 10 ^ { - 6 }$

Question

Write the following as a sum using powers of 10 to show place value.
-0.300398 
A) $0 \cdot 10 ^ { 0 } + 3 \cdot 10 ^ { 1 } + 0 \cdot 10 ^ { 2 } + 0 \cdot 10 ^ { 3 } + 3 \cdot 10 ^ { 4 } + 9 \cdot 10 ^ { 5 } + 8 \cdot 10 ^ { 6 }$
B) $0 \cdot 10 ^ { - 1 } + 3 \cdot 10 ^ { - 2 } + 0 \cdot 10 ^ { - 3 } + 0 \cdot 10 ^ { - 4 } + 3 \cdot 10 ^ { - 5 } + 9 \cdot 10 ^ { - 6 } + 8 \cdot 10 ^ { - 7 }$
C) $0 \cdot 10 ^ { 1 } + 3 \cdot 10 ^ { 0 } + 0 \cdot 10 ^ { - 1 } + 0 \cdot 10 ^ { - 2 } + 3 \cdot 10 ^ { - 3 } + 9 \cdot 10 ^ { - 4 } + 8 \cdot 10 ^ { - 5 }$
D) $0 \cdot 10 ^ { 0 } + 3 \cdot 10 ^ { - 1 } + 0 \cdot 10 ^ { - 2 } + 0 \cdot 10 ^ { - 3 } + 3 \cdot 10 ^ { - 4 } + 9 \cdot 10 ^ { - 5 } + 8 \cdot 10 ^ { - 6 }$

Quizplus · Accepted Answer

The correct representation of 0.300398 using powers of 10 for each digit according to their place value is $0 \cdot 10 ^ { 0 }$ for the units place (which is 0 in this case), followed by $3 \cdot 10 ^ { - 1 }$ for the tenths place, $0 \cdot 10 ^ { - 2 }$ for the hundredths place, $0 \cdot 10 ^ { - 3 }$ for the thousandths place, $3 \cdot 10 ^ { - 4 }$ for the ten-thousandths place, $9 \cdot 10 ^ { - 5 }$ for the hundred-thousandths place, and $8 \cdot 10 ^ { - 6 }$ for the millionths place.