Subjects arithmetic

Equation Falsity

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Equation Falsity


1. The problem asks to select all equations where substituting 4 makes the equation false. 2. We will substitute $4$ into each equation and check if the equation holds true. 3. Equation 1: $t \times 6 = 24$ Substitute $t=4$: $4 \times 6 = 24$ which is $24=24$, true. 4. Equation 2: $44 \div r = 4$ Substitute $r=4$: $44 \div 4 = 11$ which is $11=4$, false. 5. Equation 3: $y \times 8 = 32$ Substitute $y=4$: $4 \times 8 = 32$ which is $32=32$, true. 6. Equation 4: $m \div 7 = 28$ Substitute $m=4$: $4 \div 7 = \frac{4}{7} \approx 0.57$ which is $0.57=28$, false. 7. Equation 5: $3 \times p = 18$ Substitute $p=4$: $3 \times 4 = 12$ which is $12=18$, false. 8. Therefore, the equations that are false when $4$ is substituted are: - $44 \div r = 4$ - $m \div 7 = 28$ - $3 \times p = 18$ 9. Next, fill in missing numbers for $108 \div 9 = $ Calculate $108 \div 9 = 12$ 10. So, the missing number is $12$. Final answers: - Equations false at 4: $44 \div r = 4$, $m \div 7 = 28$, $3 \times p = 18$ - Missing number: $12$