Math  /  Numbers & Operations

Question**Question 8** Complete the following, based off of Video #5: Compare the following decimals: 0.50?0.50.50 ? 0.5
**Question 9** Which video was your favorite out of the 5? Why was it your favorite? 2 pts

Studdy Solution

STEP 1

What is this asking? We need to compare two decimal numbers, 0.50 and 0.5, and figure out if they are equal, or if one is bigger than the other, and we also need to say which video we liked best and why. Watch out! Don't be tricked by the extra zero!
Sometimes, zeros at the end of a decimal don't change the value.

STEP 2

1. Compare the Decimals
2. Pick a Favorite Video

STEP 3

Let's **rewrite** our decimals as fractions to really see what's going on!
We can write 0.500.50 as 50100\frac{50}{100}.
This is because the **5** is in the tenths place, and the **0** is in the hundredths place.

STEP 4

Now, let's **simplify** that fraction!
We can divide the **numerator** and the **denominator** by their greatest common factor, which is **50**. 50100=50÷50100÷50=12 \frac{50}{100} = \frac{50 \div 50}{100 \div 50} = \frac{1}{2}

STEP 5

Now, let's do the same thing for 0.50.5.
We can write it as 510\frac{5}{10}.
The **5** is in the tenths place.

STEP 6

Let's **simplify** this fraction too!
We can divide the top and bottom by **5**. 510=5÷510÷5=12 \frac{5}{10} = \frac{5 \div 5}{10 \div 5} = \frac{1}{2}

STEP 7

Wow! Look at that!
Both decimals are equal to 12\frac{1}{2}.
That means 0.500.50 and 0.50.5 are **equal**!

STEP 8

Think about which video you enjoyed the most.
Was it the one with the catchy song?
Or maybe the one with the funny examples?
Pick your **favorite**!

STEP 9

Now, tell us *why* you liked it!
Be specific!
Did it help you understand a tricky concept?
Did it make you laugh?
Let us know what made it **special**!

STEP 10

0.50=0.50.50 = 0.5. *My favorite video was Video #3 because it explained adding decimals with silly animal examples, and it made it so easy to understand!* (Remember to replace this with your own favorite and reason!)

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