Question

1. \\( m \div 3.54 = 1.5 \\)\\( m \div 3.54 \times \square = 1.5 \times \square \\)\\( m = \square \\)

Explanation:

Step1: Apply Multiplication Property of Equality

To solve for \( m \) in the equation \( m \div 3.54 = 1.5 \), we use the multiplication property of equality, which states that if we multiply both sides of an equation by the same non - zero number, the equation remains true. So we multiply both sides by \( 3.54 \).
\( m\div3.54\times3.54 = 1.5\times3.54 \)

Step2: Simplify Both Sides

Simplify the left - hand side: \( m\div3.54\times3.54=m \) (because dividing by a number and then multiplying by the same number cancels out).
Simplify the right - hand side: \( 1.5\times3.54 = 5.31 \)

Answer:

The first two boxes (the ones we multiply both sides by) are filled with \( 3.54 \), and the last box (the value of \( m \)) is filled with \( 5.31 \). So the equation becomes \( m\div3.54\times\boldsymbol{3.54}=1.5\times\boldsymbol{3.54} \) and \( m = \boldsymbol{5.31} \)