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explain why 0.9 divided by 4.5 equals 5 using correct mathematical language
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Help
can you explain it a little bit better pls?
Answered by
GPT 3.5
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.
Answered by
GPT 3.5
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.
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.
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