Question

In scientific notation, 680,000=____×10^5.

A) 6.8
B) 68
C) 680
D) 6800

Answer 1

6.8 x 10^5

Step-by-step explanation:

Scientific notation seeks to get more manageable figures to work with from very large or very small numbers. Thankfully, we are told we should be looking for a number that is multiplied by 10^5 to get 680,000. We can work backward to calculate this number.

Starting at the end of 680,000, we can move a decimal backward 5 times to get the number we should have.

For example:

68000.0 x 10^1

6800.0 x 10^2

680.0 x 10^3

68.0 x 10^4

6.8 x 10^5

Answer 2

In scientific notation, 680,000 is expressed as 6.8 × 10^5.

Step-by-step explanation:

To express the number 680,000 in scientific notation, we must write it as a number between 1 and 10 multiplied by a power of ten. The number 680,000 has five zeros following the 68, so we start by placing the decimal after the first non-zero digit, which is the 6, to make it a number between 1 and 10. This gives us 6.8. To find the power of ten, we count the number of places we moved the decimal, which is 5 places to the left. Therefore, in scientific notation, 680,000 is 6.8 × 10^5.