7th master Q4 review

Spiral Review

1

Fill in the Blank

A decimal number is used to represent a non-whole number where a decimal point is used following by digits that represent a value that is _________ than one.

Spiral Review

2

Fill in the Blank

________fraction- the numerator is smaller than the denominator. The value is less than one whole.

Fill in the Blank

Improper fraction- the numerator is equal or ______ than the denominator. The value is greater than one whole.

3

Match

Match the following

• add

• subtract

• multiply

• divide

putting together to find the total

finding the difference between two numbers

making equal groups to find the total

splitting into equal parts

• putting together to find the total

• finding the difference between two numbers

• making equal groups to find the total

• splitting into equal parts

4

Fill in the Blank

 Integers are the set of whole numbers and their _________.

Fill in the Blank

Zero is ______ negative nor positive.

Fill in the Blank

Negative numbers- any number ____ than zero.

Fill in the Blank

Positive numbers are any number greater than _____

Fill in the Blank

Opposite- two numbers that are ______ distance from zero on a number line

Fill in the Blank

Absolute value of a number is the _________ between the number and 0 on a number line. The absolute value of a number a is written as lal

Drag and Drop

Reading the number line

Values become ​

Placeholder

further to the left of the number line. Values become bigger to further to the ​

Placeholder

on the number line.

Drag these tiles and drop them in the correct blank above

smaller

right

5

Drag and Drop

Addition and subtraction are ​

Placeholder

. Addition and subtraction happen ​

Placeholder

numbers. Positive and negative are​

Placeholder

Negative and positive "belong" to the number.

Drag these tiles and drop them in the correct blank above

operations

between

signs

Drag and Drop

Invisible math alert

If a number does not have a sign you can assume that it is ​

Placeholder

.

If a number is negative it ​

Placeholder

have a negative sign. Negative is never ​

Placeholder

Drag these tiles and drop them in the correct blank above

positive

MUST

invisible.

Drag and Drop

Helpful Hint

Use ​

Placeholder

to keep your math problems organized.

When you evaluate ​

Placeholder

, you need to check if the negative sign is ​

Placeholder

or outside the ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

parenthesis

exponents

inside

Dropdown

NEW ABILITITES- We have the power to change​

Select answer

into signs and signs into operations, but you need to be careful the ​

Select answer

of the number is preserved..

6

Drag and Drop

The Rules

When adding integers if the signs are the ​

Placeholder

then add and use the same sign. If the signs are different, then ​

Placeholder

and take the sign of the number with the greatest ​

Placeholder

value.

Drag these tiles and drop them in the correct blank above

same

subtract

absolute

Fill in the Blank

One positive and one negative make a _____ pair

Multiple Choice

One positive along with one negative equals __________

( + - )

• positive

• negative

• zero pair

• equation

Multiple Choice

Will the sum of (-8) + 20 be a positive, negative, or zero?

• positive

• negative

• zero

Multiple Choice

A negative plus a negative will equal a ___________

• Positive

• Negative

• Zero

• Zero Pair

Multiple Choice

When adding integers with different signs, you must __________ the absolute value of each integer and keep the sign of the integer with the higher value.

• add

• subtract

• multiply

• divide

Multiple Choice

When I have the same sign, as in:

6+ 7 or -6 + (-7)

I must first ____________ the values.

• add

• subtract

• multiply

• divide

Math Response

2 + (-8) = ?

Type answer here

Correct Answer: -6

Deg^°

Rad

Math Response

-10 + 10

Type answer here

Correct Answer: 0

Deg^°

Rad

7

Dropdown

Subtraction is the ​

Select answer

(opposite) of addition. Change the ​

Select answer

problem to an addition problem. This is called the ​

Select answer

inverse.

Dropdown

Steps to Subtracting Integers

1)      Keep the ​

Select answer

of the first number. 2 Change the ​

Select answer

sign to an​

Select answer

sign. 3. Change the sign of the second number to its ​

Select answer

.

Fill in the Blank

Adding a positive is equivalent to subtracting a __________.

Fill in the Blank

Adding a ​ ___________ is equivalent to subtracting a positive.

Fill in the Blank

Helpful Mnemonics for Subtracting Integers.

___ Keep Change Change

Fill in the Blank

Helpful Mnemonics for Subtracting Integers.

___ Add the Opposite.

Fill in the Blank

To subtract an integer, add its ________.

8

Match

Match the following signs of the products with their corresponding pairs of numbers.

• Positive

• Negative

• Zero

If two numbers both have positive signs, what is the sign of their product?

If one number is positive and the other is negative, what is the sign of their product?

If one of the numbers is zero, what is the sign of their product?

• If two numbers both have positive signs, what is the sign of their product?

• If one number is positive and the other is negative, what is the sign of their product?

• If one of the numbers is zero, what is the sign of their product?

Explanation Slide...

When two numbers with positive signs are multiplied, the product will always be positive. Therefore, the sign of their product is positive.

Drag and Drop

If two numbers have the ​

Placeholder

sign the product or quotient of those two numbers is positive.

If two numbers have different signs the ​

Placeholder

or quotient of those two numbers is ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

same

product

negative

Multiple Choice

What is the product of 0 and any other number?

• 1

• The other number

• 0

• Undefined

Fill in the Blank

When a product of integers has an even number of negative factors, then the sign of the product is ________.

Explanation Slide...

The product of 0 and any other number is always 0. Therefore, the correct answer is 0.

Fill in the Blank

__________ Property of Zero-  the product of 0 and any other number is Zero

Multiple Choice

If you divide zero by any number, what is the result?

• The other number

• 1

• Undefined

• 0

Fill in the Blank

Zero divided by any number is zero. You can not divide by zero because it is __________.

Explanation Slide...

When you divide zero by any number, the result is always 0. This is because zero divided by any number is still zero, making the correct answer choice '0'.

Hotspot

Mark the two equations where the factors have the same sign.

Multiple Choice

What happens if you try to divide by zero?

• The number itself

• Undefined

• 1

• 0

Multiple Choice

If two numbers have different signs, what is the sign of their product?

• Positive

• Undefined

• Negative

• Zero

Multiple Choice

If a product of integers has an even number of negative factors, what is the sign of the product?

• Zero

• Undefined

• Negative

• Positive

Spiral Review

9

Drag and Drop

​

Placeholder

is the product of repeated multiplication

​

Placeholder

is the factor being multiplied by itself

​

Placeholder

tells how many times to multiply the number

​

Placeholder

means an exponent of two

​

Placeholder

means an exponent of three_

Drag these tiles and drop them in the correct blank above

Power

Base

Exponent

Squared

Cubed

Explanation Slide...

Dividing by zero is undefined in mathematics because it leads to an infinite value, making it impossible to determine a result.

Labelling

Evaluate the Exponent

Drag labels to their correct position on the image

6

30

1000

16

8

100

Multiple Choice

What does 'squared' mean?

• An exponent of three

• An exponent of four

• An exponent of one

• An exponent of two

Explanation Slide...

When two numbers have different signs, one is positive and the other is negative. Multiplying a positive number by a negative number always results in a negative product.

Reorder

What is the correct order of operations?

• Grouping

• Exponents

• Multiplication or Division from left to right

• Addition or Subtraction from left to right

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

What does 'cubed' mean?

• An exponent of five

• An exponent of two

• An exponent of four

• An exponent of three

Multiple Choice

What is the base in an exponentiation operation?

• The number that is divided

• The number that is added

• The number being multiplied by itself

• The number that is subtracted

Spiral Review

10

Explanation Slide...

If a product of integers has an even number of negative factors, they will pair up and multiply to give a positive result. Therefore, the sign of the product will be Positive.

Dropdown

Numbers can be ​

Select answer

but look ​

Select answer

Multiple Choice

Which of the following is a rational number?

• The square root of 3

• The square root of 2

• 3.14159265...

• 1/2

Fill in the Blank

The number system is composed of _______ and irrational numbers

Match

Match the following

• Rational

• Integers

• Natural numbers

• Whole Numbers

can be written as a fraction

are whole numbers that can be positive, negative, or zero

the set of positive numbers only

the set of positive numbers that includes zero

• can be written as a fraction

• are whole numbers that can be positive, negative, or zero

• the set of positive numbers only

• the set of positive numbers that includes zero

Labelling

Classify the numbers

Drag labels to their correct position on the image

-1

3/4

0

1

Multiple Choice

Which of the following numbers is an integer?

• -3/4

• 0.75

• -3

• 3.14

Multiple Choice

How do you convert a decimal to a percent?

• Move the decimal 2 places to the right

• Move the decimal 2 places to the left

Explanation Slide...

To add fractions with like denominators, simply add the numerators together while keeping the denominator the same.

Multiple Choice

How do you convert a fraction to a decimal?

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

• Add 100 to the numerator

• Subtract the denominator from the numerator

Dropdown

Fraction --> ​

Select answer

- Divide the numerator by the denominator or write an equivalent fraction.

Dropdown

Fraction --> ​ ​

Select answer

Write an equivalent fraction so that the denominator is 100 and add a percent sign

Spiral Review

11

Drag and Drop

When you multiply by a power of 10 (10, 100, 100 etc) it LOOKS like the decimal moves to the ​

Placeholder

because the digits of the number shift ​

Placeholder

value to the left.

Drag these tiles and drop them in the correct blank above

right

place

left

right

center

up

Drag and Drop

When you divide by a ​

Placeholder

of 10 (10, 100, 100 etc) it LOOKS like the decimal moves to the ​

Placeholder

because the digits of the number shift place value to the right.

Drag these tiles and drop them in the correct blank above

power

right

left

up

down

sideways

Multiple Choice

How do you convert a percent to a fraction?

• Write the percent over 100 and simplify

• Write the percent over 10 and simplify

• Move the decimal 2 places to the right

• Multiply by 100

Multiple Choice

If the divisor in a division problem is a decimal, what should you do first?

• Move the decimal in the divisor until it's a whole number

• Divide as usual

• Move the decimal in the dividend the same number of places

• Line up the decimals

Multiple Choice

What happens to the decimal point when you multiply a number by a power of 10?

• It moves to the left

• It moves to the right

• It stays in the same place

• It disappears

Reorder

Multiplication of Decimals

• Multiply like they are whole numbers

• Count the decimal places in the problem

• Move decimal places in the product

1

2

3

• 1
• 2
• 3

Spiral Review

12

Spiral Review

13

Multiple Choice

What do you do when adding two rational numbers with different signs?

• Multiply their absolute values

• Subtract their absolute values and use the sign of the number with the greater absolute value

• Subtract their absolute values and use the sign of the number with the smaller absolute value

• Add their absolute values

Multiple Choice

What is 1/3 equivalent to as a percentage?

• 20%

• 25%

• 33%

• 50%

Math Response

What is the decimal equivalent of the fraction 1/5?

Type answer here

Correct Answer: 0.2

Deg^°

Rad

Multiple Choice

What is the first step in subtracting decimals?

• Find a common denominator

• Convert the decimals to fractions

• Line up the decimals and insert placeholders if needed

• Multiply the decimals

Multiple Choice

What is the decimal equivalent of 3/4?

• 0.65

• 0.75

• 0.80

• 0.85

Match

Match the following fractions with their equivalent percentages.

• 3/10

• 2/5

• 1/4

• 1/5

30%

40%

25%

20%

• 30%

• 40%

• 25%

• 20%

Drag and Drop

What percent represents the fraction 3/4?

Placeholder

Drag these tiles and drop them in the correct blank above

25%

50%

75%

100%

Multiple Choice

What percent is equivalent to 1/5?

• 18%

• 20%

• 28%

• 50%

Multiple Choice

What is the sign of the product of two positive numbers?

• Undefined

• Positive

• Negative

• Zero

Multiple Choice

Convert 2/5 to a percent.

• 18%

• 28%

• 40%

• 50%

Multiple Choice

How do you convert a fraction to a percent according to the Benchmark FDP diagram?

• Divide by 100

• Multiply by 100

• Write over 100

• Add 100

Multiple Choice

What is the decimal equivalent of 1/10?

• 0.04

• 0.10

• 0.65

• 0.75

Multiple Choice

According to the Benchmark FDP diagram, what is the first step to convert a percent to a decimal?

• Multiply by 100

• Divide by 100

• Write over 100

• Add 100

Multiple Choice

What is the result of multiplying any number by zero?

• The number itself

• 1

• 0

• Undefined

Multiple Choice

What is 1/4 equivalent to as a decimal?

• 0.20

• 0.25

• 0.40

• 0.50

Explanation Slide...

Multiplying any number by zero results in 0. This is because any number multiplied by zero equals zero, making the correct answer choice 0.

Multiple Choice

What is 1/3 equivalent to as a percentage?

• 20%

• 25%

• 33%

• 50%

Multiple Choice

What is the decimal equivalent of 3/4?

• 0.65

• 0.75

• 0.80

• 0.85

Explanation Slide...

When multiplying three negative numbers together, the product will be negative. This is because an odd number of negative factors will result in a negative product.

Match

Match the following fractions with their equivalent percentages.

• 3/10

• 2/5

• 1/4

• 1/5

30%

40%

25%

20%

• 30%

• 40%

• 25%

• 20%

Multiple Choice

What percent is equivalent to 1/5?

• 18%

• 20%

• 28%

• 50%

Multiple Choice

Convert 2/5 to a percent.

• 18%

• 28%

• 40%

• 50%

Multiple Choice

What is the decimal equivalent of 1/10?

• 0.04

• 0.10

• 0.65

• 0.75

Explanation Slide...

When you multiply an even number of negative numbers, the result is positive. In this case, multiplying four negative numbers will yield a positive result.

Spiral Review

14

Multiple Choice

How do you add two rational numbers with the same sign?

• Find the sum of their absolute values and use the opposite sign

• Subtract their absolute values

• Multiply their absolute values

• Find the sum of their absolute values and use the same sign

Multiple Choice

What is the first step in adding decimals?

• Multiply the decimals

• Subtract the decimals

• Line up the decimals and insert placeholders if needed

• Convert the decimals to fractions

Explanation Slide...

To add fractions with like denominators, simply add the numerators together while keeping the denominator the same.

Multiple Choice

How do you add fractions with like denominators?

• Subtract the denominators

• Multiply the fractions

• Just add the numerators

• Find a common denominator and then add

Explanation Slide...

The first step in adding fractions with unlike denominators is to find a common denominator.

Multiple Choice

What is the first step in adding fractions with unlike denominators?

• Find a common denominator

• Multiply the fractions

• Add the numerators directly

• Subtract the denominators

Explanation Slide...

Line up the decimals and insert placeholders if needed

Multiple Choice

What is the first step in subtracting decimals?

• Find a common denominator

• Convert the decimals to fractions

• Line up the decimals and insert placeholders if needed

• Multiply the decimals

Multiple Choice

How do you add two rational numbers with the same sign?

• Find the sum of their absolute values and use the opposite sign

• Subtract their absolute values

• Multiply their absolute values

• Find the sum of their absolute values and use the same sign

Spiral Review

15

Explanation Slide...

To add two rational numbers with the same sign, find the sum of their absolute values and use the same sign for the result.

Spiral Review

16

Multiple Choice

What do you do when adding two rational numbers with different signs?

• Multiply their absolute values

• Subtract their absolute values and use the sign of the number with the greater absolute value

• Subtract their absolute values and use the sign of the number with the smaller absolute value

• Add their absolute values

Spiral Review

17

Explanation Slide...

When adding two rational numbers with different signs, you subtract their absolute values and use the sign of the number with the greater absolute value. This is the correct choice for combining numbers with different signs.

Multiple Choice

What is the product of two rational numbers with the same sign?

• Positive

• Negative

• Zero

• Cannot be determined

Spiral Review

18

Multiple Choice

What is the product of two rational numbers with different signs?

• Cannot be determined

• Zero

• Negative

• Positive

Multiple Choice

What is the first step in adding decimals?

• Multiply the decimals

• Subtract the decimals

• Line up the decimals and insert placeholders if needed

• Convert the decimals to fractions

Multiple Choice

What is the first step in multiplying rational fractions?

• Change each mixed number to an improper fraction

• Multiply denominators

• Multiply numerators

• Simplify

Spiral Review

19

Explanation Slide...

The first step in multiplying rational fractions is to change each mixed number to an improper fraction.

Multiple Choice

How do you add fractions with like denominators?

• Subtract the denominators

• Multiply the fractions

• Just add the numerators

• Find a common denominator and then add

Multiple Choice

What should you do before multiplying when working with fractions?

• Add the fractions

• Divide the fractions

• Cross cancel

• Convert to decimals

Spiral Review

20

Explanation Slide...

Before multiplying fractions, it is recommended to cross cancel to simplify the fractions and make the multiplication process easier and more efficient.

Explanation Slide...

To add fractions with like denominators, simply add the numerators together while keeping the denominator the same.

Multiple Choice

When multiplying decimals, the product will have the same number of decimal places as the:

• Sum of the places behind the decimal in the multiplicand and multiplier

• Difference of the places behind the decimal in the multiplicand and multiplier

• Product of the places behind the decimal in the multiplicand and multiplier

• Quotient of the places behind the decimal in the multiplicand and multiplier

Spiral Review

21

Explanation Slide...

When multiplying decimals, the product will have the same number of decimal places as the sum of the places behind the decimal in the multiplicand and multiplier.

Multiple Choice

What is the first step in adding fractions with unlike denominators?

• Find a common denominator

• Multiply the fractions

• Add the numerators directly

• Subtract the denominators

Spiral Review

22

Explanation Slide...

The first step in adding fractions with unlike denominators is to find a common denominator.

Spiral Review

23

Multiple Choice

What is the first step in subtracting decimals?

• Find a common denominator

• Convert the decimals to fractions

• Line up the decimals and insert placeholders if needed

• Multiply the decimals

Spiral Review

24

Explanation Slide...

Line up the decimals and insert placeholders if needed

Explanation Slide...

When dividing a negative number by a positive number, the quotient will always be negative. Therefore, the sign of the quotient is negative.