Let's break down and solve the questions in the image.

Left side: Putting numbers into standard form

We express numbers in the format: $a \times 10^n$, where $a$ is a number between 1 and 10, and $n$ is an integer.

1. 40,000 = $4 \times 10^4$
2. 1,000,000 = $1 \times 10^6$
3. 90,000,000 = $9 \times 10^7$
4. 96,000 = $9.6 \times 10^4$
5. 6,200,000 = $6.2 \times 10^6$
6. 6,790 = $6.79 \times 10^3$

Right side: Changing standard form numbers into ordinary numbers

We calculate the numbers by expanding the powers of 10.

1. $3 \times 10^4$ = 30,000
2. $4 \times 10^7$ = 40,000,000
3. $6.5 \times 10^5$ = 650,000
4. $8.5 \times 10^6$ = 8,500,000
5. $6.74 \times 10^3$ = 6,740
6. $6.44 \times 10^6$ = 6,440,000

Would you like further details or explanations? Here are a few related questions you might find useful:

1. How do you identify the exponent $n$ in standard form for any given number?
2. Can you explain why the number $a$ must be between 1 and 10 in standard form?
3. How does one convert a negative exponent in standard form to an ordinary number?
4. What is the importance of standard form in scientific and technical fields?
5. Can you demonstrate how to handle very small numbers, like $4.5 \times 10^{-3}$, using standard form?

Tip: When converting from ordinary to standard form, count how many times the decimal point moves to position the first non-zero digit between 1 and 10!