1. Jake: You can represent positive and negative numbers on a number line. On a number line they sometimes have a + in front of the number if it is positive or if it is negative it will always have a minus -symbol in front of it.
2. Jake: So if you want to buy your own Switch lets see how much money you have, so go get your money downstairs.
1. Jake: 10, 20, 30... Youʻve got $30. That means you have $30/$100 or 0.30 which is 30% of the amount you need to purchase your own Switch.
3. Jake: Ok fine. Iʻll explain. 30/100 and 30% are rational numbers.
6. Lia: Man, Iʻve got so much to learn about numbers.
5. Jake: Rational numbers are numbers that are written as a fraction, for example p/q and the rule is q cannot be 0. So, 30/100 is a rational because 30 and 100 are integers and the denominator is 100 which isnʻt 0.
4. Lia: What is a rational number?
2. Lia: What is that, 30/100 or 0.30?
1. Jake: Now we need to figure out how we can help earn more money so that you will have enough money for your Switch. Right now you have $30, and you need $100, so you are in the negative $70 (-70).
3. Jake: No... donʻt worry letʻs talk about absolute value and I can tell you more. Absolute value is the distance from 0 on a number line. Absolute value is always written as a positive value. So, if you are in the negative $70 we can write it like this |-70|=70 so you need $70 more dollars to buy your Switch.
2. Lia: That sounds bad. Is -70 bad news?
4. Lia: Wow, $70 is a lot!
4. Mom: Inequalities are expressions that show when values are not equal. Like how we know that | 30 | < | 70 |. We know this because when we measure |-70| from 0 on a number line it is farther from 0 than the distance of | 30 | on a number line.
1. Mom: Yes, Lia I know what your brother told you sounds like a lot but weʻll get there. Letʻs compare how much money you have to how much more money you need as an inequality. You have $30/$100 < $70/$100.
2. Lia: Oh... okay, I get it! We need a plan to earn more money because $70/$100 > $30/$100.
3. Jake: Letʻs think of a plan and write it as an inequality. Whatʻs an inequality?
2. Mom: Great idea! Letʻs get started... Iʻm willing to help too. Itʻll take weeks to earn money but we can save and eventually weʻll reach our goal.
1. Lia: Mom, I think Iʻve got a plan. We can start earning money by doing chores around the house. I can help with taking care of the dog and taking out the trash, and maybe even do the dishes.
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