Integers Flashcards

Computation with Integers (MAT4-INT-C-01)

1
Q

BODMAS

A

brackets, operations, division & multiplication, addition & subtraction

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2
Q

which direction does subtraction go on a number line

A

left

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3
Q

what direction does addition go on a number line

A

right

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4
Q

<

A

less than

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5
Q

greater than

A

>

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6
Q

Chelsea buys too many $2 ramen cups, one every day after school, in one week. However, she receives $5 for Chinese New Year at the end of the week. Write an equation and an answer to how much money she loses/gains this week.

A

5 x (-2) + 5
= -10 + 5
= -5
(Chelsea stop wasting money)

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7
Q

Elina spends too much money on her friends’ birthday presents in February, $45 each for two people. In March, she spends $5 a week for four weeks on after-school snacks. She then receives $100 for Persian New Year in April. How much money has she lost/gained over the three months if she doesn’t spend/gain any other money?

A
  • $10
    (she loses 10 dollars)
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7
Q

32 x 3 / (10-7) + 68

A

100

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8
Q

1.which part should be completed first in:
36 / 12 x ( 7 + 4) - 3^3
2.What is the answer?

A
  1. 3^3
  2. 6
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9
Q

(-56+60) x 2^3

A

= (-56+60) x 8
= 4 x 8
32

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10
Q

In an addition or subtraction equation that looks like:
+(+) or −(−)
where the signs are the same
Is the answer positive or negative?

A

positive

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11
Q

In an addition or subtraction equation that looks like:
+(-) or −(+)
where the signs are different
Is the answer positive or negative?

A

negative

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12
Q

What are the two aspects of integers that should be recognized and described?

A

Direction and magnitude
Direction refers to whether the integer is positive or negative, while magnitude refers to its absolute value.

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12
Q

How can integers be represented on a number line?

A

By identifying their position relative to zero
Positive integers are to the right of zero, while negative integers are to the left.

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13
Q

What symbols are used to compare and order integers?

A

Less than <
greater than >
equals to =

These symbols help in establishing the relative value of integers.

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14
Q

What is a directed number sentence?

A

A mathematical sentence that models a situation involving integers

15
Q

What four operations can be applied to integers?

A

Addition, subtraction, multiplication, and division.
These operations form the basis of arithmetic with integers.

16
Q

What is the significance of grouping symbols when solving problems with integers?

A

They indicate the order in which operations should be performed.
Examples of grouping symbols include parentheses and brackets.

17
Q

What is the order of operations in evaluating expressions involving integers?

A

BODMAS, BIDMAS, PEMDAS
(either one works)

18
Q

Can digital tools be used to evaluate expressions involving integers?

A

Yes, digital tools can assist in evaluating expressions
e.g. calculators and softwares that handle mathematical equations

19
Q

What is an integer?

A

An integer is a whole number that can be positive, negative, or zero.

20
Q

x^2 = 169

21
Q

What do you call something that states that two expressions are equal?

A

An equation.

22
Q

negative x positive =
positive x negative =
negative / positive =
positive / negative =

A

all four will equal a negative number

23
Q

negative x negative =
positive x positive =
negative / negative =
positive / positive =

A

all four will equal a positive number