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For questions 1-6, determine how many places and in which direction the decimal point is moved in the product.

1. [tex]63.7 \times 0.1[/tex]

2. [tex]34.7 \times 0.01[/tex]

3. [tex]0.01 \times 98.1[/tex]

4. [tex]53.2 \times 0.01[/tex]

5. [tex]10.4 \times 0.1[/tex]

6. [tex]0.1 \times 17.8[/tex]

Answer :

Sure! Let's break down each multiplication problem to see how the decimal point is moved in each case.

1. 63.7 × 0.1
When you multiply by 0.1, you move the decimal point one place to the left.
- Original number: 63.7
- Moving the decimal one place left: 6.37
So, the decimal point moved 1 place to the left.

2. 34.7 × 0.01
When you multiply by 0.01, you move the decimal point two places to the left.
- Original number: 34.7
- Moving the decimal two places left: 0.347
So, the decimal point moved 2 places to the left.

3. 0.01 × 98.1
Multiplying by 0.01 also shifts the decimal point two places to the left.
- Original number: 98.1
- Moving the decimal two places left: 0.981
So, the decimal point moved 2 places to the left.

4. 53.2 × 0.01
Again, multiplying by 0.01 means shifting the decimal two places to the left.
- Original number: 53.2
- Moving the decimal two places left: 0.532
So, the decimal point moved 2 places to the left.

5. 10.4 × 0.1
Multiplying by 0.1 shifts the decimal one place to the left.
- Original number: 10.4
- Moving the decimal one place left: 1.04
So, the decimal point moved 1 place to the left.

6. 0.1 × 17.8
Multiplying by 0.1 shifts the decimal one place to the left.
- Original number: 17.8
- Moving the decimal one place left: 1.78
So, the decimal point moved 1 place to the left.

In summary:
- For problems 1, 5, and 6, the decimal point moved 1 place to the left.
- For problems 2, 3, and 4, the decimal point moved 2 places to the left.

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