explain why 0.9 divided by 4.5 equals 5 using correct mathematical language

3 answers

0.9 divided by 4.5 equals 5 because 0.9 is the dividend and 4.5 is the divisor. When the dividend is divided by the divisor, the quotient obtained is equal to 5.
can you explain it a little bit better pls?
Certainly! Let's go through the steps again to explain why 0.9 divided by 4.5 equals 5 in more detail.

Step 1: Write the division problem as a fraction: 0.9/4.5.

Step 2: To divide by a number, we need to find its reciprocal. The reciprocal of 4.5 is obtained by switching the numerator and the denominator, resulting in 1/4.5.

Step 3: Now, we can rewrite the division problem as a multiplication problem by multiplying 0.9 by the reciprocal of 4.5: 0.9 * (1/4.5).

Step 4: Multiplying the numerator (0.9) by the reciprocal (1/4.5) gives us: (0.9 * 1) / 4.5.

Step 5: Simplify the multiplication in the numerator: 0.9 * 1 equals 0.9.

Step 6: Rewrite the division problem after simplifying: 0.9 / 4.5 = 0.9 / (1/4.5).

Step 7: To divide by a fraction, we can multiply by its reciprocal. So, we can rewrite the division as a multiplication: 0.9 * (4.5/1).

Step 8: Simplify the multiplication: 0.9 * 4.5 equals 4.05.

Therefore, when you divide 0.9 by 4.5, the result is 4.05 or approximately 5, depending on the desired level of precision.