Question

How do you solve this

Answer 1

Answer:

3.76 × 10^4

Step-by-step explanation:

1. Work out what they are.

1.26 × 10^4 = 12600   (check your calculator to see if I'm right)

To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.

2.50 × 10^4 = 25,000

By doing the same thing above.

2. Add them together

12,600 + 25,000 = 37,600

3. Change the answer into its scientific notation

To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).

37600 ÷ 10,000 = 3.76

Next:

Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:

3.76 × 10^x   what is x?

x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.

(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)

So your final answer is: 3.76 × 10^4