Identify the property
(5× -3 )×4 =5 ×(-3 ×4) shows which property?🤔
Associative property of multiplication
Evaluate: (5× -3 ) ×4
-60
Associative property works for multiplication of integers.
True
A student says: -3 × (4 + -2 )= -3 × 4 + -2 = -14. What is wrong?🤔
They did not multiply –3 with both term.
Which property allows us to change
(-2 ×3)×5 into -2 ×(3×5)? 🤔
Associative property of multiplication
-2×(4+ -3) = (-2 ×4) + ( -2 × -3 ) Name the property used.
Distributive property
Evaluate using distributive property:
-4 ( 6+ -2 )
-24 +8 = -16
a × ( b+ c) = a×b + c
False
Incorrect step: -5 × ( 2 + -6 )= -10 + -6.Correct answer? 🤔
-10 + 30 = 20
Rahul groups numbers as (-2 ×-5 ) ×3 instead of -2 × (-5 × 3) Will the answer change? 🤔Give reason.
No, associative property ensures the same product
a× (b×c) = (a×b)×c Which property is this?🤔
Associative property
Find the value: 3× ( -2 + -4 )
-18
Grouping numbers differently can change the product of integers.
False
Which term is missing? -4 × ( a+b) = -4 a + _____?🤔
-4b
Show distributive property using integers:
-3 × (5 + -2 )
(-3 × 5) +( -3 × -2 )= -15 + 6 = -9
Multiplication distributes over which operation?🤔
Addition
Without changing the answer, regroup and solve: -2 × ( 5 × -6 )
(-2 × -6 ) × 5 = 12 × 5 = 60
Distributive property works for negative integers also.
True
A student writes: (-2 × 3 ) ×4 ≠ -2 × ( 3 × 4).Is the student correct?🤔
No, associative property says they are equal.
Without calculating fully, decide whether the value of -8 × ( 125 + - 25 ) will be positive or negative.
Negative