Mrs. Williams, a sixth grade math teacher, is grading papers. When she gets to the question about how 3 brothers can equally split a pizza if the pizza has 12 slices, she notices two students worked the problem different from her answer key.
Student 1 computed the number of slices each brother could have by dividing 12 by 3 like this:12 ÷ 3 = 4
Student 2 multiplied 12 by like this:
Mrs. Williams’s answer key shows the problem computed as = 4. Which student(s), if either, is/are correct? Explain.
When finding the sum of 512 and –614, Josh used a left-to-right algorithm to compute the answer.He first added the hundred’s digits 500 + (–600) = –100He then added the ten’s digits 10 + (–10) = 0Lastly, he added the one’s digits 2 + (–4) = –2His result was –100 + 0 + (–2) = –102
Is Josh’s answer correct? How else could Josh have computed the sum?
Josiah was ordering the following rational numbers in math class: –3.8, –12, and –6 and got a bit confused.
a) Help Josiah place the numbers in order from least to greatest.
b) Now, help him list them in order from least to greatest based upon their absolute values.
c) Finally, explain why the orderings from parts a and b are different.
You have just moved to a new town and are trying to select a bank. Bank A offers a checking account for only $25 per month and requires you to keep a minimum balance of $100 in your account. Bank A also charges an overdraft fee of $20, offers the use of a debit card at no charge, and assesses an ATM fee of $3 per use. Bank B offers a checking account for only $18 per month and requires you to keep a minimum balance of $50 in your account. Bank B also charges an overdraft fee of $20, offers the use of a debit card for $0.25 per transaction, and assesses an ATM fee of $3.50 per use.
If you typically have a balance of $250 in your account, use your debit card 24 times per month, and use the ATM four times, which bank would be less expensive over time?
Explain how to use a number line to model the equation –7 + 4. Then determine its sum.
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