How Many Times Does 4 go into 60?

How Many Times Does 4 go into 60?

4 goes into 60 fifteen times. This is because when you divide 60 by 4, you get the quotient 15. In mathematical terms, 60 ÷ 4 = 15. This means that 4 can be subtracted from 60 exactly 15 times without any remainder.

Dividing Whole Numbers

Division is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication. It involves determining how many times one number (the divisor) goes into another number (the dividend). Performing division allows us to split a number into equal parts or groups.

Let’s look at the division problem: How many times does 4 go into 60?

Restating as a Fraction

We can rephrase the problem as a fraction:

60 / 4 = ?

This helps visualize that we want to split 60 into 4 equal groups and find how many are in each group.

Estimating the Quotient

Before diving into the division, it helps to estimate the quotient, or answer. 60 is close to 64 and 4 goes into 64 sixteen times. So our quotient should be close to 15.

Long Division Method

To formally divide using the long division algorithm:

1. Set up the problem in long division format with 60 on the inside and 4 on the outside.
2. Determine how many times 4 goes into 6. This is 1 time.
3. Write 1 above the 6. Multiply 4 by 1 and write the product, 4, below the 6.
4. Subtract 4 from 6 to get a remainder of 2.
5. Bring down the 0 from 60 to make the new dividend 20.
6. Repeat – 4 goes into 20 five times. Write 5, multiply 4 * 5 = 20, and subtract to get 0 remainder.

Therefore, using long division, 4 goes into 60 fifteen times with no remainder.

So the total quotient is 15.

Checking the Answer

We can verify the answer by multiplying:

15 * 4 = 60

Since 15 * 4 equals 60, this confirms that 4 goes into 60 fifteen times.

Practicing division forms a strong foundation for more complex math concepts. Breaking processes down step-by-step builds proficiency and fluency.

In summary, dividing involves splitting a dividend into equal parts based on the divisor. Applying the long division algorithm allows us to find how many times one whole number divides into another.