Question

1. which equation can be used to solve 54 ÷ _ = 6? a. 36 ÷ 6 = 36 b. 48 + 6 = 54 c. 9 × 6 = 54 d. 6 × 6 = 36

Explanation:

Step1: Recall division and multiplication relationship

In a division equation \( a\div b = c \), it is equivalent to \( b\times c = a \) (where \( a \) is the dividend, \( b \) is the divisor, \( c \) is the quotient). For \( 54\div \_\_ = 6 \), let the blank be \( x \), so \( 54\div x = 6 \), which implies \( x\times6 = 54 \).

Step2: Analyze each option

• Option A: \( 36\div6 = 6

eq36 \), and it's not related to \( 54\div x = 6 \).

• Option B: \( 48 + 6 = 54 \) is an addition equation, not related to the division - multiplication relationship of \( 54\div x = 6 \).
• Option C: \( 9\times6 = 54 \), which matches the relationship \( x\times6 = 54 \) (here \( x = 9 \)).
• Option D: \( 6\times6 = 36 \), which is not related to \( 54\div x = 6 \).

Answer:

C. \( 9\times6 = 54 \)