What are the results of multiplying and dividing the following numbers by powers of 10?

Here are the calculations:

1. Step 1: Multiply 23.45 by 10. When multiplying by 10, move the decimal point one place to the right.

   $$23.45 \times 10 = 234.5$$ $$\boxed{234.5}$$

2. Step 1: Multiply 9.5 by 10. When multiplying by 10, move the decimal point one place to the right.

   $$9.5 \times 10 = 95$$ $$\boxed{95}$$

3. Step 1: Multiply 24.568 by 100. When multiplying by 100, move the decimal point two places to the right.

   $$24.568 \times 100 = 2456.8$$ $$\boxed{2456.8}$$

4. Step 1: Multiply 0.223 by 100. When multiplying by 100, move the decimal point two places to the right.

   $$0.223 \times 100 = 22.3$$ $$\boxed{22.3}$$

5. Step 1: Multiply 500.23 by 1000. When multiplying by 1000, move the decimal point three places to the right.

   $$500.23 \times 1000 = 500230$$ $$\boxed{500230}$$

6. Step 1: Multiply 45.3134 by 1000. When multiplying by 1000, move the decimal point three places to the right.

   $$45.3134 \times 1000 = 45313.4$$ $$\boxed{45313.4}$$

7. Step 1: Divide 23.4 by 10. When dividing by 10, move the decimal point one place to the left.

   $$23.4 \div 10 = 2.34$$ $$\boxed{2.34}$$

8. Step 1: Divide 0.4 by 10. When dividing by 10, move the decimal point one place to the left.

   $$0.4 \div 10 = 0.04$$ $$\boxed{0.04}$$

9. Step 1: Divide 144.5 by 100. When dividing by 100, move the decimal point two places to the left.

   $$144.5 \div 100 = 1.445$$ $$\boxed{1.445}$$

10. Step 1: Divide 12.334 by 100. When dividing by 100, move the decimal point two places to the left.

    $$12.334 \div 100 = 0.12334$$ $$\boxed{0.12334}$$

11. Step 1: Divide 3452.1 by 1000. When dividing by 1000, move the decimal point three places to the left.

    $$3452.1 \div 1000 = 3.4521$$ $$\boxed{3.4521}$$

12. Step 1: Divide 9.12 by 1000. When dividing by 1000, move the decimal point three places to the left.

    $$9.12 \div 1000 = 0.00912$$ $$\boxed{0.00912}$$