Solve Division Problem: Positive 1 ÷ 0.25

(+1):(+0.25)= ? (+1):(+0.25)=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's solve this problem together!
00:13 Remember, when you divide a positive number by another positive number, the result is always positive.
00:21 Now, let's convert the decimal into a fraction. It's an important step to make things easier.
00:37 Next, change the division sign to multiplication by using the reciprocal of the second fraction.
00:49 Simply switch the numerator and denominator of the second fraction.
00:55 Don't forget! Multiply the numerators together and the denominators together.
01:01 And there you have it! That's our solution to this math question.

Step-by-step written solution

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1

Understand the problem

(+1):(+0.25)= ? (+1):(+0.25)=\text{ ?}

2

Step-by-step solution

Since we are dividing two positive numbers, the result must be a positive number:

+:+=+ +:+=+

First, let's convert the numbers into fractions:

1=11 1=\frac{1}{1}

0.25=25100 0.25=\frac{25}{100}

This leaves us with the folowing:

11:25100= \frac{1}{1}:\frac{25}{100}=

Let's now convert the division into a multiplication, remembering to switch the numerator and denominator:

11×10025= \frac{1}{1}\times\frac{100}{25}=

Let's now combine everything into one single exercise:

1×1001×25= \frac{1\times100}{1\times25}=

Finally, we can solve the multiplication in the numerator and denominator to get our answer:

10025=4 \frac{100}{25}=4

3

Final Answer

4 4

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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