Arithmetic

Question 1

Multiplication can be seen as …………….. ……………….

Answer 1

…… repeated addition

Question 2

Multiplication can be represented on …………………….

Answer 2

…… a number line

Question 3

Multiplication can be viewed as ……….. ….. ………. groups

Answer 3

….. addition of equal …..

Question 4

A…………. can be used to represent multiplication.

Answer 4

Arrays ……..

Question 5

What is the commutative property of multiplication?

Answer 5

This property states that the numbers in a multiplication problem can be ‘commuted’ or ‘moved around’ without affecting the result

Question 6

What is the associative property of multiplication?

Answer 6

This property states that the numbers in a multiplication problem can be ‘associated’ or ‘grouped’ differently without affecting the result

Question 7

What is the distributive property of multiplication?

Answer 7

This property states that the numbers in a multiplication problem can be distributed over addition or subtraction.

3 x 7 = 3 x (4+3) = (3 x 4) + (3 x 3) = 21

Question 8

How can the associative property of multiplication be used to make a multiplication problem easier to compute? 36 x 2

Answer 8

36 x 2
= (9 x 4) x 2
= 9 x 8
= 72

Question 9

How can the distributive property of multiplication be used to make a multiplication problem easier to compute? 2 x 5385

Answer 9

2 x 5385
= (2 x 5000) + (2 x 300) + (2 x 80) + (2 x 5)

Question 10

Division can be seen as …….. ……….

Answer 10

……. equal groups

Question 11

A………. can be used to visualize division.

Answer 11

Arrays ……….

Question 12

Is division commutative?

Answer 12

No

Question 13

Is division associative?

Answer 13

No

Question 14

Is division distributive?

Answer 14

Yes, division can be distrubuted over addition and subtraction.

Question 15

What is the numerator in a fraction?

Answer 15

The numerator is the top number in a fraction.

Question 16

What does the numerator in a fraction represent?

Answer 16

The numerator represents the number of parts of the whole that are being counted.

Question 17

What is the denominator in a fraction?

Answer 17

The denominator is the bottom number in a fraction.

Question 18

What does the denominator in a fraction represent?

Answer 18

The denominator reprsents the number of equal parts that the whole is being broken into.

Question 19

Write 9865 in expanded form

Answer 19

9000+800+60+5

Question 20

How can you find the lowest common denominator between two or more fractions?

Answer 20

List the multiples of each denominator until you find the smallest multiple they have in common (lowest common multiple).

Question 21

Write 907.5804 in expanded form of decimals

Answer 21

(9 x 100) + (0 x 10) + (7 x 1) + (5 x 1/10) + (8 x 1/100) + (0 x 1/1000) + (4 x 1/10000)

Question 22

What is the easiest way to divide one fraction by another fraction?

Answer 22

To divide a fraction by another fraction, multiply the dividend fraction by the reciprocal of the divisor fraction.

Question 23

What is the easiest strategy for multiplying and dividing decimals? Give an example

Answer 23

Convert the decimals into fractions and proceed with the required operation.

2.4x3.6 = 24/10x36/10 = 864/100 = 8.64
6.7/3.2 = (67/10) / (32/10) = (67/10) x (10/32) = 670/320 = 67/32 = 2 3/32 =

Question 24

How do you multiply multi-digit decimals using the standard algorithm?

Answer 24

Step 1: First, we set up and complete the multiplication problem using the standard algorithm.
Step 2: Next, we count the number of digits to the right of the decimals in the original problem.
Step 3: We place that number of digits to the right of the decimal point.