Evaluate. Express your answer in scientific notation.

3, point, 7, times, 10, to the power 7 , plus, 520, comma, 000
3.7×10
7
+520,000

1 answer

To evaluate \( 3.7 \times 10^7 + 520,000 \), we first need to express \( 520,000 \) in scientific notation.

The number \( 520,000 \) can be expressed as: \[ 520,000 = 5.2 \times 10^5 \]

Now, we need to convert both terms to the same power of ten to add them together. The exponent \( 10^7 \) is larger than \( 10^5 \), so we will convert \( 5.2 \times 10^5 \) to a power of \( 10^7 \): \[ 5.2 \times 10^5 = 0.052 \times 10^7 \]

Now we can add: \[ 3.7 \times 10^7 + 0.052 \times 10^7 = (3.7 + 0.052) \times 10^7 \]

Calculating the sum inside the parentheses: \[ 3.7 + 0.052 = 3.752 \]

So we now have: \[ 3.752 \times 10^7 \]

Finally, we express this in scientific notation: \[ 3.752 \times 10^7 \]

Therefore, the final answer is: \[ \boxed{3.752 \times 10^7} \]