Math

QuestionShow why 1.016÷4.0640.0251.016 \div 4.064 \neq 0.025 without performing the division.

Studdy Solution

STEP 1

Assumptions1. We are asked to verify if 1.016÷4.0640.0251.016 \div4.064 \neq0.025 without performing the actual division.

STEP 2

We can approach this problem by using the properties of division. If we multiply the divisor by the quotient, we should get the dividend. In other words, if a=b÷ca = b \div c, then b=a×cb = a \times c.
Dividend=Quotient×DivisorDividend = Quotient \times Divisor

STEP 3

Let's plug in the given values into this equation.
1.016=0.025×.0641.016 =0.025 \times.064

STEP 4

Perform the multiplication on the right side of the equation.
1.016=0.025×4.064=0.1021.016 =0.025 \times4.064 =0.102

STEP 5

Now, compare the left side of the equation (1.016) with the right side (0.102).Clearly, 1.0160.1021.016 \neq0.102. Therefore, we can conclude that 1.016÷4.0640.0251.016 \div4.064 \neq0.025 without actually performing the division.

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