Arithmetic and Order of Operations Practice

Vocabulary flashcards covering arithmetic practice problems, order of operations, and signed integer expressions from the transcript.

Exercise 15 First Example ($15 - 8 \cdot 3$)

A practice calculation demonstrating order of operations where multiplication is performed before subtraction: $15 - 24 = -9$.

Exercise 15 Second Example ($18 : 6 - 5$)

A practice calculation demonstrating order of operations where division is performed before subtraction: $3 - 5 = -2$.

Exercise 16 Example ($21 - 4 \cdot 6 + 12 : 3$)

A combined arithmetic expression demonstrating multiplication and division performed before addition and subtraction: $21 - 24 + 4 = 25 - 24 = 1$.

Exercise 17 Example ($(-3) \cdot (-4) + (-6) \cdot 3$)

An integer arithmetic problem demonstrating rules of signs for multiplication and addition: $(+12) + (-18) = 12 - 18 = -6$.

Exercise 15(a) ($18 - 5 \cdot 3$)

An arithmetic expression involving multiplication and subtraction, evaluated as $18 - 15 = 3$.

Exercise 15(b) ($6 - 4 \cdot 2$)

An arithmetic expression involving multiplication and subtraction, evaluated as $6 - 8 = -2$.

Exercise 15(d) ($18 - 15 : 3$)

An arithmetic expression involving division and subtraction, evaluated as $18 - 5 = 13$.

Exercise 15(e) ($5 - 30 : 6$)

An arithmetic expression involving division and subtraction, evaluated as $5 - 5 = 0$.

Exercise 15(f) ($20 : 2 - 11$)

An arithmetic expression involving division and subtraction, evaluated as $10 - 11 = -1$.

Exercise 16(a) ($20 - 4 \cdot 7 + 11$)

A multi-step arithmetic expression evaluated as $20 - 28 + 11 = 3$.

Exercise 16(b) ($12 - 6 \cdot 5 + 4 \cdot 2$)

A multi-step arithmetic expression evaluated as $12 - 30 + 8 = -10$.

Exercise 16(c) ($15 - 20 : 5 - 3$)

A multi-step arithmetic expression evaluated as $15 - 4 - 3 = 8$.

Exercise 16(d) ($6 - 10 : 2 - 14 : 7$)

A multi-step arithmetic expression evaluated as $6 - 5 - 2 = -1$.

Exercise 16(e) ($5 \cdot 3 - 4 \cdot 4 + 2 \cdot 6$)

A multi-step arithmetic expression evaluated as $15 - 16 + 12 = 11$.

Exercise 16(f) ($7 \cdot 3 - 5 \cdot 4 + 18 : 6$)

A multi-step arithmetic expression evaluated as $21 - 20 + 3 = 4$.

Exercise 17(b) ($32 : (-8) - (-20) : 5$)

An expression with signed integer division and subtraction, evaluated as $-4 - (-4) = -4 + 4 = 0$.

Exercise 17(c) ($(-2) \cdot (-9) + (-5) \cdot (+4)$)

An expression with signed integer multiplication and addition, evaluated as $18 + (-20) = -2$.

Exercise 17(d) ($(+25) : (-5) + (-16) : (+4)$)

An expression with signed integer division and addition, evaluated as $-5 + (-4) = -9$.

Exercise 17(e) ($(+6) - (-7) + (-50) : (-2)$)

An expression with signed integer division, subtraction, and addition, evaluated as $6 + 7 + 25 = 38$.