Answer
(a) $2.77 × 10^{-8}$
(b) $1.82 × 10^{-3}$
(c) $1.23 × 10^{8}$
(d) $1.254 × 10^{3}$
Work Step by Step
(a) 0.000 000 0277
Find the first numbers that arent 0's
277
Next add a decimal after the first number
2.77
Multiply it by 10 to the power of how many 0's were before/after the decimal place
2.77 x $10^{-8}$
The power is -8 because there were 8, 0's in the original number that were before the decimal place
(b) 0.001 82
Find the first numbers that arent 0's
182
Add a decimal after the first number
1.82
Multiply it by 10 to the power of how many 0's were before/after the decimal place
1.82 × $10^{-3}$
The power is -3 because there were 3, 0's in the original number that were before the decimal place
(c) 123 000 000
Find the first numbers that arent 0's
123
Add a decimal after the first number
1.23
Multiply it by 10 to the power of how many 0's were before/after the decimal place
1.23 × $10^{8}$
The power is 8 because there were 8, 0's in the original number that were before the decimal place
(d) 1254
Find the first numbers that arent 0's
1254
Add a decimal after the first number
1.254
Multiply it by 10 to the power of how many 0's were before/after the decimal place
1.254 × $10^{3}$
The power is 3 because there were 3, 0's in the original number that were before the decimal place
