What is 72 Divided by 16? Answer is 4.5
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The answer to 72 divided by 16 is 4.5. This means that if you split 72 into 16 equal parts, each part will be 4.5. Division helps us break a number into smaller, equal groups, and in this case, 72 doesn’t divide evenly by 16, leaving a decimal as a result.
Let’s break this division down further to understand it more clearly.
72 Divided by 16 Using Long Division
Here’s how to solve 72 ÷ 16 using the long division method:
- Set up the division: Write 72 under the division bar and place 16 outside of it.
- Start with the first digits (72): Since 16 goes into 72, we can begin dividing.
- How many times does 16 fit into 72? 16 fits into 72 four times (16 × 4 = 64).
- Subtract 64 from 72, which leaves a remainder of 8.
- Bring down the decimal point: Since 72 divided by 16 doesn’t give a whole number, we can add a decimal point and bring down a zero, making it 80.
- How many times does 16 fit into 80? 16 fits into 80 five times (16 × 5 = 80).
- Subtract 80 from 80, which leaves no remainder.
- Now, we have our quotient: 4.5.
✅ Final Answer: 72 ÷ 16 = 4.5
There is no remainder, but we get a decimal value as the result.
Using the Distributive Property
We can also use the distributive property to solve this problem by breaking the number 72 into smaller parts to make division easier. The distributive property of division is:
(a+b)÷c=(a÷c)+(b÷c)
We can break 72 into 64 and 8, like this:
72÷16=(64÷16)+(8÷16)
Now divide each part:
8÷16=0.5
Now, add the results together:
4+0.5=4.5
This confirms the same result as the long division method.
Other Divisions of 72
Here are some additional useful divisions:
| Division | Answer |
|---|---|
| 72 ÷ 1 | 72 |
| 72 ÷ 2 | 36 |
| 72 ÷ 3 | 24 |
| 72 ÷ 4 | 18 |
| 72 ÷ 6 | 12 |
| 72 ÷ 8 | 9 |
| 72 ÷ 9 | 8 |
| 72 ÷ 12 | 6 |
| 72 ÷ 16 | 4.5 |
| 72 ÷ 18 | 4 |
| 72 ÷ 24 | 3 |
| 72 ÷ 36 | 2 |
FAQs
What is the remainder when 72 is divided by 16?
There is no remainder in this case. The division results in a decimal value of 4.5, meaning the remainder is effectively expressed as a decimal part.
Is 72 divisible by 16?
No, 72 is not divisible by 16 without leaving a remainder. The quotient is a decimal, 4.5, meaning 72 is not evenly divisible by 16.
How can you check this division?
You can check the division by multiplying the quotient (4.5) by the divisor (16):
4.5×16=72
This confirms that the answer is correct.
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