Unit 7, Lesson 5
Comparing Numbers and Distance from Zero
Accelerated 6
Practice
Problem 1
In the context of elevation, what would \(|\text-7|\) feet mean?
Problem 2
Match each written statement with a mathematical statement.
The number -4 is a distance of 4 units away from 0 on the number line.
The number -63 is more than 4 units away from 0 on the number line.
The number 4 is greater than the number -4.
The numbers 4 and -4 are the same distance away from 0 on the number line.
The number -63 is less than the number 4.
The number -63 is further away from 0 on the number line than the number 4 is.
\(|\text-63| > 4\)
\(\text-63 < 4\)
\(|\text-63| > |4|\)
\(|\text-4| = 4\)
\(4 > \text-4\)
\(|4| = |\text-4|\)
Problem 3
Use >, <, or = to compare each pair of expressions.
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\(\text-32\) _____ \(15\)
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\(|\text-32|\) _____ \(|15|\)
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\(5\) _____ \(\text-5\)
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\(|5|\) _____ \(|\text-5|\)
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\(2\) _____ \(\text-17\)
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\(2\) _____ \(|\text-17|\)
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\(|\text-27|\) _____ \(|\text-45|\)
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\(|\text-27|\) _____ \(\text-45\)
Problem 4
Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.
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Her grandmother gave her \$25 in a birthday card.
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She earned \$14 dollars babysitting.
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She spent \$10 on a ticket to the concert.
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She donated \$3 to a local charity.
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She got \$2 interest on money that was in her savings account.
Problem 5
Here are some of the lowest temperatures recorded in the last two centuries for some states across the country.
- In California, it was \(\text-45^\circ\text{F}\) in January of 1937.
- In Connecticut, it was \(\text-37^\circ\text{F}\) in February of 1943.
- In Florida, it was \(\text-2^\circ\text{F}\) in February of 1899.
- In Illinois, it was \(\text-36^\circ\text{F}\) in January of 1999.
- In Georgia, it was \(\text-17^\circ\text{F}\) in January of 1940.
From the data given here:
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Which state has the lowest recorded temperature?
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Which state has a lower recorded temperature, Florida or Georgia?
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Which state has a lower recorded temperature, Connecticut or Illinois?
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How many more degrees colder is the recorded temperature for Georgia than for Florida?
Problem 6
Find the quotients.
- \(0.024 \div 0.015\)
- \(0.24 \div 0.015\)
- \(0.024 \div 0.15\)
- \(24 \div 15\)