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Riley just opened a checking account at the bank. Within the first month, she deposited three checks for $34.98, $51.02, and $51.22. She withdrew $5.23 for new pencils, $10.22 for earbuds, and $7.89 for movies from her account in the same month.

Write Riley’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
Answer:



Order the rational numbers from least to greatest and explain your reasoning.
Answer:




At the beginning of the month Riley’s balance was $128. What was her balance at the end of the month after all of her deposits and withdrawals? Show your work, no credit will be given

Respuesta :

SaniShahbaz

Part 1:

Rational numbers have both demoninator and numerator as integers

Riley's withdrawals:

5.23 ----  -[tex]\frac{523}{100}[/tex]

10.22 --- -[tex]\frac{1022}{100}[/tex]

7.89 ---- -[tex]\frac{789}{100}[/tex]


Riley's Deposits:

34.98 ---- [tex]\frac{3498}{100}[/tex]

51.02 ---- [tex]\frac{5102}{100}[/tex]

51.22 ---- [tex]\frac{5122}{100}[/tex]


Part 2:

Order the rational numbers:

a - [tex]\frac{523}{100}[/tex] -----Least

b - [tex]\frac{789}{100}[/tex]

c - [tex]\frac{1022}{100}[/tex]

d- [tex]\frac{3498}{100}[/tex]

e- [tex]\frac{5102}{100}[/tex]

f- [tex]\frac{5122}{100}[/tex] ---- Greatest


Reasoning: Above the rational numbers are ordered from least to the greatest and they are represented by alphabets from a to f

Lets take the first rational number a =  [tex]\frac{523}{100}[/tex] and compare it with the 5 other rational numbers. If it is less than all 5 numbers than that means it is the smallest one, this process will be applied on all rational numbers until all are sorted out.

Part 3:

Balance at the beginning: $128

Total Deposits: 34.98 + 51.02 + 51.22 = $137.22

Total Withdrawals: 5.23 + 10.22 + 7.89 = $23.34

Balance at the end of month: Total Deposits - Total withdrawals

= 137.22 - 23.34

Balance at the end of month = $113.88




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