Question

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?

Answer 1

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 ${10}^7$.