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Questions and Answers
Is this equation true?
14×(9−4)=14×10−14×5
Is this equation true? 14×(9−4)=14×10−14×5
True (A)
6.5−3×(4−3.5)=3.5×(1+0.5)
6.5−3×(4−3.5)=3.5×(1+0.5)
False (B)
36÷9+3×6−4=8×1/2(fraction)+2×9
36÷9+3×6−4=8×1/2(fraction)+2×9
False (B)
7×(2+4)÷2−5=2×10−4
7×(2+4)÷2−5=2×10−4
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24.6×(8−3)=(8−3)×24.6
24.6×(8−3)=(8−3)×24.6
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Which statement is true?
Which statement is true?
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Select all the expressions that have the same value as (8 + 5 × 9) − 2.
(8 + 45) − 2
(13 × 9) − 2
8 + 5 × 7
117 − 2
53 − 2
Select all the expressions that have the same value as (8 + 5 × 9) − 2. (8 + 45) − 2 (13 × 9) − 2 8 + 5 × 7 117 − 2 53 − 2
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What is the solution to 24 = 3(t − 6)?
What is the solution to 24 = 3(t − 6)?
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(1/3)×10+(1/3)×7=(1/3)×17
(1/3)×10+(1/3)×7=(1/3)×17
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4×9.5+4×6=4×15.5
4×9.5+4×6=4×15.5
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Study Notes
Evaluating Equations
- The equation 14×(9−4)=14×10−14×5 is true.
Simplifying Expressions
- 6.5−3×(4−3.5)=3.5×(1+0.5) is a true equation.
- 36÷9+3×6−4=8×1/2+2×9 is another true equation.
Order of Operations
- The equation 7×(2+4)÷2−5=2×10−4 is true when following the order of operations.
Commutative Property
- The equation 24.6×(8−3)=(8−3)×24.6 demonstrates the commutative property of multiplication.
Equivalence
- The statement (8 + 45) − 2 is true and equivalent to (8 + 5 × 9) − 2.
- The statement 117 − 2 is also true and equivalent to (8 + 5 × 9) − 2.
Solving Equations
- The solution to 24 = 3(t − 6) is t = 10.
Fraction Operations
- The equation (1/3)×10+(1/3)×7=(1/3)×17 is true.
- The equation 4×9.5+4×6=4×15.5 is also true, demonstrating the distributive property of multiplication.
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