Which sign makes the statement true?

Question

7 ? 7 1/2
<
>
=

Answer 1

To determine which sign makes the statement true, let's convert \( 7 \) and \( 7 \frac{1}{2} \) into numbers we can easily compare:

• \( 7 \) is simply \( 7 \).
• \( 7 \frac{1}{2} \) can be expressed as \( 7.5 \).

Now let's compare:

• \( 7 < 7.5 \)
• \( 7 > 7.5 \)
• \( 7 = 7.5 \)

The correct relationship is \( 7 < 7.5 \).

Therefore, the correct sign to make the statement true is \( < \).

So the statement 7 ? 7 1/2 is true with the sign: \( < \).

Answer 2

Which sign makes the statement true?
-98 117/220 ? 60/377

Answer 3

To compare \(-\frac{98 \cdot 220}{220}\) and \(\frac{60}{377}\), we can convert them to decimals or find a common denominator.

1. Convert \(-\frac{98}{220}\) to decimal:

   \[ -\frac{98}{220} \approx -0.44545 \]

2. Convert \(\frac{60}{377}\) to decimal:

   \[ \frac{60}{377} \approx 0.159 \]

Now, we can compare the two values:

• \(-0.44545 < 0.159\)

Therefore, the correct sign to make the statement true is \( < \).

So, the statement \(-\frac{98}{220} ? \frac{60}{377}\) is true with the sign: \( < \).

Answer 4

Which sign makes the statement true?
70.09 ? 70.440

Answer 5

To compare the two numbers \(70.09\) and \(70.440\):

1. Convert them to a comparable format: Both numbers can be compared directly as they are already in decimal form.

2. Compare the values:

   • \(70.09\) can also be written as \(70.090\) to see both numbers with three decimal places.
   • Now we compare \(70.090\) and \(70.440\).

Clearly, \(70.090\) is less than \(70.440\).

Thus, the correct symbol to make the statement true is \( < \).

So, the statement \(70.09 , ? , 70.440\) is true with the sign: \( < \).

Answer 6

Yesterday, Kiara finished 7/16 of the grammar questions assigned for the week. In comparison, Mandy finished 35 out of 81 grammar questions. Who finished a greater fraction of her grammar questions?

Answer 7

To determine who finished a greater fraction of her grammar questions, we need to compare the fractions of questions finished by Kiara and Mandy.

Kiara's fraction:
Kiara finished \(\frac{7}{16}\) of her grammar questions.

Mandy's fraction:
Mandy finished 35 out of 81 grammar questions, which can be expressed as a fraction:

\[ \frac{35}{81} \]

Now, to compare \(\frac{7}{16}\) and \(\frac{35}{81}\), we can convert both fractions to a common denominator or convert them to decimal form.

Converting to decimals:

1. Kiara's fraction in decimal:

   \[ \frac{7}{16} = 0.4375 \]

2. Mandy's fraction in decimal:

   \[ \frac{35}{81} \approx 0.4321 , \text{ (using a calculator)} \]

Comparison:

• Kiara: \(0.4375\)
• Mandy: \(0.4321\)

Since \(0.4375 > 0.4321\), Kiara finished a greater fraction of her grammar questions.

Therefore, Kiara finished a greater fraction of her grammar questions.

Answer 8

Wanda read 2/5 of the items on her reading list. Valeria read 3 out of 9 items on her list. Who read a greater fraction of her reading list.

Answer 9

To compare the fractions of reading items completed by Wanda and Valeria, we need to look at the fractions both of them read:

Wanda's fraction: Wanda read \(\frac{2}{5}\) of her items.

Valeria's fraction: Valeria read \(\frac{3}{9}\) of her items, which can be simplified.

\[ \frac{3}{9} = \frac{1}{3} \]

Now we need to compare \(\frac{2}{5}\) and \(\frac{1}{3}\).

To do this, we can find a common denominator or convert these fractions to decimals.

Finding a common denominator: The least common multiple (LCM) of 5 and 3 is 15.

1. Convert \(\frac{2}{5}\) to a fraction with a denominator of 15: \[ \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \]

2. Convert \(\frac{1}{3}\) to a fraction with a denominator of 15: \[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \]

Now we can compare:

• Wanda: \(\frac{6}{15}\)
• Valeria: \(\frac{5}{15}\)

Since \(\frac{6}{15} > \frac{5}{15}\), it shows that Wanda read a greater fraction of her reading list.

Therefore, Wanda read a greater fraction of her reading list.