Numbers express in scientific notation can be added as long as they have a common power of 10 first let’s look at what this looks like when we convert each number into standard form and add so what would 3×10 7+2×10 power seven and then we have to write in three times blank +2 times blank blank plus blank and blank. What would the answer be?

Question

GPT-4o mini · Answer

To add the numbers $3 \times 10^7$ and $2 \times 10^7$, we first express them in standard form. Since both numbers share the same power of 10 ($10^7$), we can add their coefficients directly. In standard form, these numbers can be written as: $$ 3 \times 10^7 = 30,000,000 $$ $$ 2 \times 10^7 = 20,000,000 $$ Now, we add the two numbers: $$ 30,000,000 + 20,000,000 = 50,000,000 $$ Next, we need to convert the result back into scientific notation. The sum $50,000,000$ can be written in scientific notation as: $$ 5 \times 10^7 $$ Therefore, the full expression can be rewritten as: $$ 3 \times 10^7 + 2 \times 10^7 = (3 + 2) \times 10^7 = 5 \times 10^7 $$ In your request to fill in "three times blank + two times blank blank plus blank and blank," we can say: - **First blank**: $3$ - **Second blank**: $2$ - **Third blank**: $5$ - **Fourth blank**: $10^7$ So the filled-in statement would be: 3 times $10^7$ + 2 times $10^7$ equals 5 times $10^7$.