Question

Answer the following questions and put them in order:

136.5/10 =
753/100 =
890.1/10 * 0 =
3.71/10 * 2 =
8,100/10 * 4 =
864/10 * 3 =
0.52/10 * 1 =
15.7/1,000 =
7,700/10 * 2 =
770/10 * 2 =
77/10 * 1 =
7.7/10 * 1

Answer 1

The question involves dividing and multiplying decimals by powers of 10 using basic arithmetic operations. It applies the principle of moving the decimal point to perform the calculations quickly and easily, which is a common necessity in scientific work and everyday math problems.

Step-by-step explanation:

The student's question involves performing basic arithmetic operations like division and multiplication, specifically with decimals and powers of 10. To solve these problems, we apply the principles of dividing and multiplying decimals by powers of 10.

1. 136.5 divided by 10 is 13.65.
2. 753 divided by 100 is 7.53.
3. 890.1 divided by 10, then multiplied by 0, is 0 (multiplying by zero always results in zero).
4. 3.71 divided by 10, then multiplied by 2, is 0.742.
5. 8,100 divided by 10, then multiplied by 4, is 3,240.
6. 864 divided by 10, then multiplied by 3, is 259.2.
7. 0.52 divided by 10, then multiplied by 1, is 0.052.
8. 15.7 divided by 1,000 is 0.0157.
9. 7,700 divided by 10, then multiplied by 2, is 1,540.
10. 770 divided by 10, then multiplied by 2, is 154.
11. 77 divided by 10, then multiplied by 1, is 7.7.
12. 7.7 divided by 10, then multiplied by 1, is 0.77.

Understanding these calculations allows for easy manipulations of decimals and can be extremely useful, especially in scientific contexts where working with various powers of 10 is frequently needed.