Math Integer Operations Flashcards

(37 cards)

1
Q

What are integers? / Qu’est-ce que les entiers ?

A

Whole numbers and their opposites (…, -3, -2, -1, 0, 1, 2, 3, …) / Les nombres entiers positifs et négatifs (…, -3, -2, -1, 0, 1, 2, 3, …)

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2
Q

What is the sum of (+3) + (+5)? / Quelle est la somme de (+3) + (+5) ?

A

+8 / +8

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3
Q

What is the sum of (-4) + (-6)? / Quelle est la somme de (-4) + (-6) ?

A

-10 / -10

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4
Q

What is (+7) + (-3)? / Quel est (+7) + (-3) ?

A

+4 / +4

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5
Q

What is (-2) + (+9)? / Quel est (-2) + (+9) ?

A

+7 / +7

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6
Q

What is (-8) + (+8)? / Quel est (-8) + (+8) ?

A

0 / 0

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7
Q

What is the difference (+6) - (+4)? / Quelle est la différence (+6) - (+4) ?

A

+2 / +2

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8
Q

What is the difference (+3) - (-5)? / Quelle est la différence (+3) - (-5) ?

A

+8 / +8

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9
Q

What is the difference (-2) - (+7)? / Quelle est la différence (-2) - (+7) ?

A

-9 / -9

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10
Q

What is the difference (-5) - (-8)? / Quelle est la différence (-5) - (-8) ?

A

+3 / +3

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11
Q

What is the product (+4) × (+6)? / Quel est le produit (+4) × (+6) ?

A

+24 / +24

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12
Q

What is the product (+3) × (-7)? / Quel est le produit (+3) × (-7) ?

A

-21 / -21

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13
Q

What is the product (-8) × (-2)? / Quel est le produit (-8) × (-2) ?

A

+16 / +16

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14
Q

What is the quotient (+20) ÷ (+4)? / Quel est le quotient (+20) ÷ (+4) ?

A

+5 / +5

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15
Q

What is the quotient (+18) ÷ (-6)? / Quel est le quotient (+18) ÷ (-6) ?

A

-3 / -3

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16
Q

What is the quotient (-30) ÷ (-10)? / Quel est le quotient (-30) ÷ (-10) ?

17
Q

What are the rules for multiplying or dividing integers? / Quelles sont les règles pour multiplier ou diviser des entiers ?

A

Same signs = positive, different signs = negative / Signes identiques = positif, signes différents = négatif

18
Q

Simplify: (+3) + (-2) × (-4) / Calcule: (+3) + (-2) × (-4)

A

+11 (Multiply first: -2 × -4 = +8, then +3 + 8 = +11) / +11 (Multiplier d’abord: -2 × -4 = +8, puis +3 + 8 = +11)

19
Q

Simplify: (-6) ÷ (+3) - (-4) / Calcule: (-6) ÷ (+3) - (-4)

A

+2 (Divide first: -6 ÷ 3 = -2, then -2 - (-4) = +2) / +2 (Diviser d’abord: -6 ÷ 3 = -2, puis -2 - (-4) = +2)

20
Q

What is the correct order of operations? / Quel est l’ordre correct des opérations ?

A

Brackets → Exponents → Multiply/Divide → Add/Subtract (BEDMAS) / Parenthèses → Exposants → Multiplier/Diviser → Ajouter/Soustraire (PEMDAS ou BEDMAS)

21
Q

What does an exponent mean? / Que signifie un exposant ?

A

A number showing how many times the base is multiplied by itself / Un nombre qui indique combien de fois la base est multipliée par elle-même

22
Q

What is the base in 3⁴? / Quelle est la base dans 3⁴ ?

23
Q

What is the exponent in 3⁴? / Quel est l’exposant dans 3⁴ ?

24
Q

Calculate 3². / Calcule 3².

25
Calculate 2³. / Calcule 2³.
8 / 8
26
Calculate 5¹. / Calcule 5¹.
5 / 5
27
What is any number to the power of 1? / Quel est n'importe quel nombre à la puissance 1 ?
The number itself / Le nombre lui-même
28
What is any number to the power of 0 (except 0)? / Quel est n'importe quel nombre à la puissance 0 (sauf 0) ?
1 / 1
29
Calculate (-3)². / Calcule (-3)².
+9 (because (-3) × (-3) = +9) / +9 (car (-3) × (-3) = +9)
30
Calculate -3². / Calcule -3².
-9 (because the negative is not in brackets) / -9 (car le signe négatif n'est pas entre parenthèses)
31
Calculate (-2)³. / Calcule (-2)³.
-8 (because three factors of -2 give a negative product) / -8 (car trois facteurs de -2 donnent un produit négatif)
32
What is (-2)⁴? / Quel est (-2)⁴ ?
+16 (even exponent makes the product positive) / +16 (exposant pair rend le produit positif)
33
Which is done first, exponents or multiplication? / Qu'est-ce qu'on fait en premier, les exposants ou la multiplication ?
Exponents / Les exposants
34
Simplify: 2 × 3² / Calcule: 2 × 3²
18 (3² = 9, then 2 × 9 = 18) / 18 (3² = 9, puis 2 × 9 = 18)
35
Simplify: (-2)² + 5 / Calcule: (-2)² + 5
9 ((-2)² = 4, then 4 + 5 = 9) / 9 ((-2)² = 4, puis 4 + 5 = 9)
36
Simplify: -2² + 5 / Calcule: -2² + 5
1 (-2² = -4, then -4 + 5 = 1) / 1 (-2² = -4, puis -4 + 5 = 1)
37
What is the order of operations with exponents included? / Quel est l'ordre des opérations avec les exposants ?
Brackets → Exponents → Multiply/Divide → Add/Subtract (BEDMAS) / Parenthèses → Exposants → Multiplier/Diviser → Ajouter/Soustraire (BEDMAS)