Write the number in standard form.

Question

left parenthesis 5 times 10 Superscript 4 right parenthesis plus left parenthesis 4 times 10 squared right parenthesis5×104+4×102
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Part 1
The standard form of left parenthesis 5 times 10 Superscript 4 right parenthesis plus left parenthesis 4 times 10 squared right parenthesis5×104

Answer 1

To add the numbers in standard form, you can follow these steps:

1. Convert all terms to have the same exponent:
   • \(5 \times 10^4\) is already in standard form with an exponent of 4.
   • \(4 \times 10^2\) needs to be converted to an equivalent term with an exponent of 4.

To do this, we can express \(4 \times 10^2\) as: \[ 4 \times 10^2 = 4 \times 10^2 \times \frac{10^2}{10^2} = 4 \times \frac{10^4}{10^2} = 0.04 \times 10^4 \]

2. Now you can add them together: \[ 5 \times 10^4 + 0.04 \times 10^4 = (5 + 0.04) \times 10^4 = 5.04 \times 10^4 \]

Thus, the sum in standard form is: \[ \boxed{5.04 \times 10^4} \]