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Add and Subtract Integers: example 1.34 · Physics Playground

Exercises Numbers, fractions and percents

Example 1.34 from Elementary Algebra, 1.3 Add and Subtract Integers

Add and Subtract Integers: example 1.34

Fill in $<, >, or =$ for each of the following pairs of numbers:

ⓐ $| −5 |___- | −5 |$ ⓑ $8___- | −8 |$ ⓒ $−9___- | −9 |$ ⓓ $− (−16)___- | −16 |$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

ⓐ Simplify. Order.	$\begin{matrix} \| −5 \| & ___ & - \| −5 \| \\ 5 & ___ & - 5 \\ 5 & > & −5 \\ \| −5 \| & > & - \| −5 \| \end{matrix}$
ⓑ Simplify. Order.	$\begin{matrix} 8 & ___ & - \| −8 \| \\ 8 & ___ & - 8 \\ 8 & > & −8 \\ 8 & > & - \| −8 \| \end{matrix}$
ⓒ Simplify. Order.	$\begin{matrix} 9 & ___ & - \| −9 \| \\ −9 & ___ & - 9 \\ −9 & = & −9 \\ −9 & = & - \| −9 \| \end{matrix}$
ⓓ Simplify. Order.	$\begin{matrix} − (−16) & ___ & - \| −16 \| \\ 16 & ___ & - 16 \\ 16 & > & −16 \\ − (−16) & > & - \| −16 \| \end{matrix}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Fill in <, >, or $=$ for each of the following pairs of numbers: ⓐ $| −9 |___- | −9 |$ ⓑ $2___- | −2 |$ ⓒ $−8___| −8 |$
ⓓ $− (−9)___- | −9 | .$

How did it go?

PreviousAdd and Subtract Integers: example 1.32 Next Add and Subtract Integers: example 1.37

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 1.3, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.