(3×10^8)(5.8×10^8)
Use the commutative property to reorder the terms
(3×5.8)×(10^8×10^8)
Multiply the numbers
17.4×(10^8×10^8)
Multiply the terms with the same base by adding their exponents
17.4×10^8+8
Add the numbers
17.4×10^16
To add the numbers using a number line, start from zero
8+8=16
Since 8 is positive , move the point 8 units to the right
Since 8 is positive, move the point 8 units from the right
The result is 16
17.4×10^16
Write the number in scientific notation
1.74×10^17
now we do the same thing only different way ok
17.4×10^16
Write the expression as a product with the factor 1.74
1.74×10^1×10^16
Multiply the terms with the same base by adding their exponents
1.74×10^1+16
Add the numbers
1.74×10^17
1
16
__________
1 7
Add the digits in the column
1+6=7
write the result under the column
Copy the remaining digit
The result is 17
Answer 1.74×10^17
That's it . Hope it wasn't too hard to understand?
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