Write 0.7 and 0.21 as factors, then multiply the factors change the product to a decimal

7/10 x 21/100 = 147/10,000
decimal would be .0147

Would that be correct?

No, 10*100=1000, not 10,000

so your decimal would be .147

535.6/ 35

Yes, your answer is correct!

To write 0.7 and 0.21 as factors, we can think of them as fractions.
0.7 can be written as 7/10 and 0.21 can be written as 21/100.

To multiply the factors, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
So, (7/10) * (21/100) = (7 * 21) / (10 * 100) = 147 / 1000.

To change the product to a decimal, we divide the numerator by the denominator: 147 / 1000 = 0.147.

Therefore, the correct decimal representation of (7/10) * (21/100) is 0.147.

However, in your calculation, you made a slight error in the decimal representation. You wrote it as 0.0147 instead of 0.147.