Fractions and Factors

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Questions and Answers

Circle all the factors of 28.

6
14 (correct)
7 (correct)
8
84
12
112
1 (correct)
140
4 (correct)
2 (correct)
13
28 (correct)
5
56
3

Which numbers are multiples of 6? Choose all correct numbers.

18 (correct)
3
2
1
6 (correct)
36 (correct)

What is the value of $\frac{1}{5} \times \frac{2}{3}$?

$\frac{8}{15}$ (correct)
$\frac{12}{10}$
$\frac{22}{15}$
$\frac{6}{8}$

Consider $\frac{1}{3} \div 4$. Partition and label a tape diagram that represents $\frac{1}{3} \div 4$.

Diagram should show a rectangle divided into 3 equal parts, with one part shaded, then the shaded part divided into 4 equal parts. Each of the smaller parts represents 1/12. Signup and view all the answers

Evaluate. $\frac{1}{3} \div 4 = $_____

$\frac{1}{12}$ Signup and view all the answers

Consider $8 \div \frac{1}{3}$. Which model can be used to find the quotient $8 \div \frac{1}{3}$? Choose all that apply.

Number line from 0 to 8 with each whole number divided into thirds. (B), Rectangle with an 8 under the bar with a question mark over the whole image. (E) Signup and view all the answers

Evaluate. $8 \div \frac{1}{3} = $_____

24 Signup and view all the answers

Riley has 87 cups of dog food. Riley pours the dog food equally into 4 containers. How many cups of dog food are in each container? There are _____ cups of dog food in each container.

21.75 Signup and view all the answers

What is the value of 8.98 + 7.3?

16.28 (A) Signup and view all the answers

Evaluate. 6.2-1.43 = _____

4.77 Signup and view all the answers

Partition each whole number interval into fourths. Then label $\frac{1}{4}$ and $\frac{7}{4}$.

The number line should be partitioned into fourths between 0, 1, and 2. The label $\frac{1}{4}$ should be at the tick mark immediately following 0, and the label $\frac{7}{4}$ should be at the third tick mark following 1. Signup and view all the answers

Compare the two fractions by using >, =, or <. $\frac{5}{6}$ and $\frac{3}{4}$

<blockquote> (C) </blockquote> Signup and view all the answers

Consider the point on the number line. What number is represented by the point on the number line?

0.74 Signup and view all the answers

Plot 0.78 on the number line.

The plot should be a point on the line marked between 0.7 and 0.8 Signup and view all the answers

Order the values from least to greatest. Write one number from the given answer choices in each box.

2.09, 2.18, 2.5, 2.745, 2.8 Signup and view all the answers

Consider a rectangle with the two points plotted as two of the four vertices of the rectangle. Plot the other two vertices. Then draw the rectangle in the coordinate plane.

The rectangle should have vertices (2,7), (2,2), (5,7), and (5,2). Signup and view all the answers

What is the area of the rectangle? The area of the rectangle is _____ square units.

15 Signup and view all the answers

Flashcards

Factors of 28

Numbers that divide evenly into 28 (128, 214, 4*7).

Multiples of 6

Numbers that are the result of multiplying 6 by integers.

What is a Factor?

A number that can be divided by another number without a remainder.

What is a Multiple?

A number that is the product of a given number and any integer.

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Study Notes

To answer question 1, circle all the factors of 28
To answer question 2, select all the multiples of 6 from the list
To answer question 3, work out what is the value of 1/5 x 2/3
To answer question 4A, partition and label a tape diagram that represents 1/3 ÷ 4
To answer question 4B, evaluate 1/3 ÷ 4 to find the answer
To answer question 5A, choose all models that can be used to find the quotient 8 ÷ 1/3
To answer question 5B, evaluate 8 ÷ 1/3
To answer question 6, calculate how many cups there would be if 87 cups of dog food are poured equally into 4 containers
To answer question 7, caluclate what the value of 8.98 + 7.3 is
To answer question 8, evaluate 6.2 - 1.43
To answer question 9, partition each whole number interval into fourths, and label 1/4 and 7/4
To answer question 10, compare the two fractions by using >, =, or < to compare 5/6 and 3/4
To answer question 11A, what number is represented by the point on the number line
To answer question 11B, plot 0.78 on the number line
To answer question 12, order the values from least to greatest from the given answer choices: 2.18, 2.09, 2.5, 2.8, 2.745
To answer question 13A, plot the other two vertices for the rectangle shown
To answer question 13B, calculate the area of the rectangle

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