Question

2 true or false: opposites are also known as zero pairs.

1. decide if each set of numbers are a zero pair or not a zero pair

• -4 and 2 \t\t\tzero pair \t\t\tnot zero pair
• -10 and 10 \t\t\tzero pair \t\t\tnot zero pair
• 324 and -324 \t\t\tzero pair \t\t\tnot zero pair
• 25 and 25 \t\t\tzero pair \t\t\tnot zero pair
• -1 and 0 \t\t\tzero pair \t\t\tnot zero pair

1. choose whether each decimal is a terminating decimal or repeating decimal

0.135	□ terminating decimal	□ repeating decimal
0.2323...	□ terminating decimal	□ repeating decimal
1.\overline{243}	□ terminating decimal	□ repeating decimal
3.26	□ terminating decimal	□ repeating decimal
3.2\overline{6}	□ terminating decimal	□ repeating decimal

computation and application:

1. write the decimal equivalent for:

\\(\frac{3}{8}\\)

Explanation:

Question 2:

A zero pair consists of two numbers that are opposites (add up to zero). Opposites are numbers like \(a\) and \(-a\), which sum to zero, so they are zero pairs. So the statement "Opposites are also known as Zero Pairs" is True.

Step 1: Divide numerator by denominator

To find the decimal equivalent of \(\frac{3}{8}\), we perform the division \(3\div8\).

Step 2: Perform the division

\(3\div8 = 0.375\) (since \(8\times0.375 = 3\)).

Answer:

True

Question 3:

A zero pair is two numbers that add up to 0 (they are opposites, like \(x\) and \(-x\)).

• \(-4\) and \(2\): \(-4 + 2=-2

eq0\), so NOT ZERO PAIR

• \(-10\) and \(10\): \(-10 + 10 = 0\), so ZERO PAIR
• \(324\) and \(-324\): \(324+(-324)=0\), so ZERO PAIR
• \(25\) and \(25\): \(25 + 25 = 50

eq0\), so NOT ZERO PAIR (already marked correctly)

• \(-1\) and \(0\): \(-1+0=-1

eq0\), so NOT ZERO PAIR

Question 4:

A terminating decimal has a finite number of digits after the decimal point. A repeating decimal has one or more digits that repeat infinitely (marked by \(\dots\) or a bar over the repeating part).

• \(0.135\): Finite digits, so Terminating Decimal
• \(0.2323\dots\): The "23" repeats infinitely, so Repeating Decimal
• \(1.\overline{243}\): The "243" repeats infinitely (bar over it), so Repeating Decimal
• \(3.26\): Finite digits, so Terminating Decimal
• \(3.2\overline{6}\): The "6" repeats infinitely (bar over 6), so Repeating Decimal

Question 5: