Question

Work out (2.3 × 107) + (4.1 × 108)
Give your answer in standard index
form.

Answer 1

To add numbers in standard index form, convert them to the same power of 10 and then perform the addition. In this problem, the answer is 6.4 × 10^8.

Step-by-step explanation:

To add the numbers in standard index form, you need to make sure that they have the same power of 10. In this case, you can convert both numbers to a power of 10 by moving the decimal point to the right.

2.3 × 107 = 23 × 106

4.1 × 108 stays the same

Now you can add the numbers: 23 × 106 + 4.1 × 108 = (23 × 106) + (41 × 107) = (23 + 41) × 107 = 64 × 107

The final answer in standard index form is 6.4 × 108.

Learn more about Standard index form