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Answer :
Let's work through each of the problems one by one to determine whether a zero must be written in the dividend to find the quotient.
17a. [tex]\(1.4 \div 0.05\)[/tex]
To solve this division problem, we want to remove the decimal places from the divisor, which is 0.05. This means we need to move the decimal point two places to the right to make it a whole number (5). To maintain the balance of the equation, we do the same with the dividend, 1.4.
- Start with 1.4, and move the decimal point two places to the right:
1.4 becomes 140 (add a zero after moving the decimal).
Therefore, you must write a zero in the dividend.
Answer: Yes
17b. [tex]\(2.52 \div 0.6\)[/tex]
For this division, the divisor is 0.6, which means we need to move the decimal one place to the right to make it a whole number (6). We do the same with the dividend:
- Start with 2.52, and move the decimal point one place to the right:
2.52 becomes 25.2.
In this conversion, you do not need to add any zeros.
Answer: No
17c. [tex]\(2.61 \div 0.3\)[/tex]
Here, the divisor is 0.3. This requires moving the decimal one place to the right to make it whole (3). Do the same with the dividend:
- Start with 2.61, and shift the decimal one place to the right:
2.61 becomes 26.1.
Again, there is no need to add any zeros.
Answer: No
So, the final answers are:
- 17a: Yes
- 17b: No
- 17c: No
17a. [tex]\(1.4 \div 0.05\)[/tex]
To solve this division problem, we want to remove the decimal places from the divisor, which is 0.05. This means we need to move the decimal point two places to the right to make it a whole number (5). To maintain the balance of the equation, we do the same with the dividend, 1.4.
- Start with 1.4, and move the decimal point two places to the right:
1.4 becomes 140 (add a zero after moving the decimal).
Therefore, you must write a zero in the dividend.
Answer: Yes
17b. [tex]\(2.52 \div 0.6\)[/tex]
For this division, the divisor is 0.6, which means we need to move the decimal one place to the right to make it a whole number (6). We do the same with the dividend:
- Start with 2.52, and move the decimal point one place to the right:
2.52 becomes 25.2.
In this conversion, you do not need to add any zeros.
Answer: No
17c. [tex]\(2.61 \div 0.3\)[/tex]
Here, the divisor is 0.3. This requires moving the decimal one place to the right to make it whole (3). Do the same with the dividend:
- Start with 2.61, and shift the decimal one place to the right:
2.61 becomes 26.1.
Again, there is no need to add any zeros.
Answer: No
So, the final answers are:
- 17a: Yes
- 17b: No
- 17c: No
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