What is 28 divided by 3.2 ?? Please include steps 🙁
The Correct Answer and Explanation is:
To divide 28 by 3.2, follow these steps:
Step 1: Remove the decimal
It is easier to work with whole numbers. Since 3.2 has one decimal place, multiply both numbers by 10 to eliminate the decimal:
- 28×10=28028 \times 10 = 28028×10=280
- 3.2×10=323.2 \times 10 = 323.2×10=32
So now the problem becomes:280÷32280 \div 32280÷32
Step 2: Perform the division
Now divide 280 by 32 using long division or a calculator:280÷32=8.75280 \div 32 = 8.75280÷32=8.75
Final Answer:
8.75\boxed{8.75}8.75
Explanation
When dividing a number by a decimal, it is often easier to turn the divisor into a whole number. In this case, 3.2 is the divisor, and since it has one digit after the decimal point, we multiply it by 10 to make it a whole number. To keep the ratio the same, we also multiply the dividend, 28, by 10. This gives us 280 divided by 32.
This method is valid because multiplying both numbers by the same non-zero number does not change the value of the quotient. It’s like simplifying a fraction where both the numerator and denominator are changed equally, keeping the value the same.
Next, we divide 280 by 32. This division gives a result of 8.75. You can verify this by multiplying:32×8.75=28032 \times 8.75 = 28032×8.75=280
This confirms that the answer is correct.
In real life, this technique is useful when working with money, measurements, or quantities that are not whole numbers. Knowing how to handle decimals by converting them into whole numbers can make complex problems more manageable.
So, the final answer to 28 divided by 3.2 is 8.75.
