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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.
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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