In scientific notation, what is 20,000 + 3,400,000?

Question

Genesis Amaya · Accepted Answer

In scientific notation:

3.42×10^6

To begin, add 20,000 to 3,400,000, or 3,420,000. Since there are 6 digits after the number 3, we will express the number 6 as the power of 10. This is a simpler way to express large numbers in terms of 10. Put a decimal after 3 and count how many digits are present after 3 so that will be 3.42×10^6.

Luna Angel · Answer

#3.42 xx 10^6#

The purpose of scientific notation is to avoid long, cumbersome calculations with lots of zeros.

In order to add numbers in scientific notation, they have to be expressed in the same power of 10.

Just as in algebra, #x^6+ x^8 "cannot be added , but " x^6 + x^6" can#

It is better to use the larger power of 10.

#3,400,000 = 3.4 xx10^6#

#20,000 = 2xx10^4 = 0,02xx10^6# (This is not correct standard form, but we need like terms to be able to add)

#color(red)(3.4) xx10^6+ color(red)(0,02)xx10^6 = color(red)(3.42) xx 10^6#

#3.4+# #ul0.02# #3.42#

Everly Taylor · Answer

undefined To add the numbers in scientific notation, first, rewrite them so they have the same exponent:

20,000 = 2 × 10^4
3,400,000 = 3.4 × 10^6

Then, add the coefficients:

2 + 3.4 = 5.4

Keep the same exponent:

10^6

So, in scientific notation, 20,000 + 3,400,000 equals 5.4 × 10^6.