Question

directions:
identify the property of multiplication shown in each equation.
write op for order property, ip for identity property, zp for zero property, gp for groupin
property, and dp for distributive property.
______1.) $5 \times 6 = 6 \times 5$
______2.) $9 \times 1 = 9$
______3.) $(4 \times 3) \times 2 = 4 \times (3 \times 2)$
______4.) $8 \times 0 = 0$
______5.) $6 \times (2 + 5) = (6 \times 2) + (6 \times 5)$
______6.) $7 \times 10 = 10 \times 7$
______7.) $(5 \times 2) \times 4 = 5 \times (2 \times 4)$
______8.) $0 \times 12 = 0$
______9.) $3 \times (4 + 6) = (3 \times 4) + (3 \times 6)$
______10.) $11 \times 1 = 11$

Explanation:

Step1: Identify property for 5×6=6×5

Order of factors changes, result same → OP

Step2: Identify property for 9×1=9

Multiply by 1 gives original number → IP

Step3: Identify property for (4×3)×2=4×(3×2)

Grouping of factors changes, result same → GP

Step4: Identify property for 8×0=0

Multiply by 0 gives 0 → ZP

Step5: Identify property for 6×(2+5)=(6×2)+(6×5)

Multiply over addition → DP

Step6: Identify property for 7×10=10×7

Order of factors changes, result same → OP

Step7: Identify property for (5×2)×4=5×(2×4)

Grouping of factors changes, result same → GP

Step8: Identify property for 0×12=0

Multiply by 0 gives 0 → ZP

Step9: Identify property for 3×(4+6)=(3×4)+(3×6)

Multiply over addition → DP

Step10: Identify property for 11×1=11

Multiply by 1 gives original number → IP

Answer:

OP
IP
GP
ZP
DP
OP
GP
ZP
DP
IP