Multiplying Mixed Numbers | Mathematics - Quizizz

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Multiplying Mixed Numbers

4th - 5th grade

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Mathematics

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Slide 1
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Multiply Mixed Numbers
Learning Goal: Use models, equations, and previously learned strategies to multiply mixed numbers.
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Slide 2
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What is a Mixed Number?
A number that is greater than one whole and is made of a whole number plus a fraction
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Question 3
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Q.
Select the example of a mixed number below:
answer choices
$\frac{1}{2}$

$\frac{10}{3}$
$2\ \frac{1}{3}$
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{2}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p><p><br/></p><p></p>
alternatives
<p></p><p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>10</mn><mn>3</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{10}{3}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span><span class="mord">0</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> <br></p><p></p>
<p></p><p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>2</mn><mtext> </mtext><mfrac><mn>1</mn><mn>3</mn></mfrac></mrow><annotation encoding="application/x-tex">2\ \frac{1}{3}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord">2</span><span class="mspace"> </span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> <br></p><p></p>
answer explanation
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Slide 4
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Multiplying Mixed Numbers
Step 1: Change each number to an improper fraction.

Step 2: Multiply the numerators and then the denominators.

Step 3: Convert back to mixed number

Step 4: Check to be sure the answer makes sense.
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Slide 5
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Finding Value of Numerical Expressions (PEMDAS)

Step I: Simplify the operations inside grouping symbols.
Step II: Solve multiplication and division from left to right.
Step III: Solve addition and subtraction from left to right.
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Question 6
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Q.
Change the mixed number below to an improper fraction.
$2\ \frac{4}{5}$
answer choices
$\frac{14}{2}$
$\frac{11}{5}$
$\frac{14}{5}$
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>14</mn><mn>2</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{14}{2}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span><span class="mord">4</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p>
alternatives
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>11</mn><mn>5</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{11}{5}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">5</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span><span class="mord">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>14</mn><mn>5</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{14}{5}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">5</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span><span class="mord">4</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p>
answer explanation
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Slide 7
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Look at the ingredients needed to make Josie's special pancakes. How much pancake mix and milk will you need if you want to double the recipe? To triple the recipe?

Josie's Pancake Recipe

$2\ \frac{1}{4}$ cups pancake mix
1 egg
$1\ \frac{2}{3}$ cups milk
$\frac{3}{4}$ teaspoon vanilla
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Slide 8
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Look at the ingredients needed to make Josie's special pancakes. How much pancake mix and milk will you need if you want to double the recipe? To triple the recipe?

Josie's Pancake Recipe

$2\ \frac{1}{4}$ cups pancake mix
1 egg
$1\ \frac{2}{3}$ cups milk
$\frac{3}{4}$ teaspoon vanilla
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Question 9
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Q.
$2\ \frac{3}{4}\ \ \times\ \ 8$
Solve this problem
answer choices
22
$\frac{11}{4}$
$\frac{8}{1}$
<p>22</p>
alternatives
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>11</mn><mn>4</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{11}{4}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">4</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span><span class="mord">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p>
<p><span class="katex-container" data-idx="0" contenteditable="false"> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mn>8</mn><mn>1</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{8}{1}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">8</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span> </span> </p>
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Slide 10
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Evaluating Numerical Expressions (PEMDAS)
Step I: Simplify the operations inside grouping symbols.
Step II: Solve multiplication and division from left to right.
Step III: Solve addition and subtraction from left to right.
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Slide 11
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Introductory Task

What is the value of the expression shown below?

30- (5 + 7) x 2

SHARE YOUR THINKING!!!
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Question 12
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Q.
What is the value of 3 (14-5) + 2?
answer choices
29
27
33
<p>29</p>
alternatives
<p>27</p>
<p>33</p>
answer explanation
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Slide 13
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Solve and Share

Kyra purchased a pack of 20 erasers. She kept 8 erasers and equally divided the rest among three friends. Which expression tells how many erasers each friend received?

Share your thinking!!!
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Question 14
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Q.
Which expression has the same value as (2 +3) x (3 + 1) ?
answer choices
(2 x 5) + (5 x 2)
3 + ( 2 x 1) + 3
( 2 x 3) + ( 3 + 1)
<p>(2 x 5) + (5 x 2) </p>
alternatives
<p>3 + ( 2 x 1) + 3</p>
<p>( 2 x 3) + ( 3 + 1)</p>
answer explanation
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