Question

express in the scientific notation 123.456, 2345.678 ,0.45678 , 0.0076543.​

Answer 1

Answer:

123.456 = 1.23456 × 10^2

2345.678 = 2.345678 × 10^3

0.45678 = 4.5678 × 10^(-1)

0.0076543 = 7.6543 × 10^(-3)

❤Hope it will help you.❤

Answer 2

Given: $123.456,2345.678,0.45678,0.0076543$.

To find: the scientific notations of each number.

Step-by-step explanation:

Step 1 of 3

The scientific notation for a number is written as $a*10^{x}$. Here the value of a lies between 1 to 9. The power of 10 can be negative or positive.

Step 2 of 3

To write scientific notation only 1 non-zero digit is left on the left side of decimal.

Step 3 of 3

If we move the decimal to right, a negative power is obtained. And when we move decimal to left a positive power is obtained.

1. $123.456$

There are 3 non-zero digits so, the decimal will be shifted to 2 places on the left.

$123.456=1.23456*10^{2}$

2. $2345.678$

There are 4 non-zero digits present so we will shift the decimal to three places on left such that only 2 is remained as the non-zero digit.

$2345.678=2.345678*10^{3}$

3. $0.45678$

There is no non-zero term on left side of decimal so we will shift decimal on write. And we will get a negative power of 10.

$0.45678=4.5678*10^{-1}$

4. $0.0076543$

There is no non-zero term on left side of decimal so we will shift decimal on write to 3 places. And we will get $-3$ as a negative power of 10.

$0.0076543=7.6543*10^{-3}$.

Final answer:

1. $123.456=1.23456*10^{2}$

2. $2345.678=2.345678*10^{3}$

3. $0.45678=4.5678*10^{-1}$

4.  $0.0076543=7.6543*10^{-3}$