Solve for the Quotient: Converting 111.4/100 to Decimal Form

Q: Why does dividing by 100 move the decimal point left?

When you divide by 100, you're making the number 100 times smaller. Moving the decimal point left makes the number smaller, which is exactly what division should do!

Q: How do I remember which direction to move the decimal?

Think about it this way: division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so the decimal moves right.

Q: How can I check if my answer is correct?

Multiply your answer by the original divisor. If $ 111.4 ÷ 100 = 1.114 $, then $ 1.114 × 100 $ should equal 111.4 ✓

Decimal Division with Place Value Movement

Solve the following:

$\frac{111.4}{100}=\text{ }$

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Understand the problem

Solve the following:

$\frac{111.4}{100}=\text{ }$

Step-by-step solution

When we need to divide a decimal fraction by a whole number,

the operation is very simple—we move the decimal point by the number of zeros.

That is, as 100 has two zeros, we will need to move the decimal point two places.

Therefore, 111.4 will become 1.114.

Final Answer

$1.114$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by powers of 10 moves decimal left
Technique: Count zeros in 100 = move decimal 2 places left
Check: Verify 1.114 × 100 = 111.4 ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point in the wrong direction
Don't move the decimal right when dividing by 100 = gets 11,140 instead of 1.114! Division by powers of 10 makes numbers smaller, not bigger. Always move the decimal point LEFT when dividing by 10, 100, 1000, etc.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

Why does dividing by 100 move the decimal point left?

When you divide by 100, you're making the number 100 times smaller. Moving the decimal point left makes the number smaller, which is exactly what division should do!

How do I remember which direction to move the decimal?

Think about it this way: division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so the decimal moves right.

What if there aren't enough decimal places to move?

Add zeros to the left! For example, if you need to move 2 places left in 5.3 ÷ 100, write it as 05.30, then move: $0.053$

Does this rule work for dividing by 10 or 1000 too?

Yes! Count the zeros:

÷ 10 (1 zero) = move decimal 1 place left
÷ 100 (2 zeros) = move decimal 2 places left
÷ 1000 (3 zeros) = move decimal 3 places left

How can I check if my answer is correct?

Multiply your answer by the original divisor. If $111.4 ÷ 100 = 1.114$ , then $1.114 × 100$ should equal 111.4 ✓

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