Questions: 1. Hector and Jose both made a number, Hector's Number: 74,812 Jose's Number: 67,421 Which statement about the two numbers is correct? a.) The value of the 4 in Graham's number is 10 times greater than the 4 in Nolan's number. b.) The value of the 2 in Graham's number is 10 times greater than the 2 in Nolan's number. c.) The value of the 7 in Graham's number is 100 times greater than the 7 in Nolan's number. d.) The value of the 4 in Graham's number is equal to the 4 in Nolan's number 2. Aura bought a box of beads to make necklaces. The box had 7,340 beads to make necklaces. She has used 2,026 beads so far. How many beads does she have left? 3. Shamari built a cube tower that was 0.67 meters tall. Which fraction is equivalent to 0.67? a. 67/100 b. 67/10 C. 67/1000 d. 67/1 4. Use the models to compare the two decimals. Which statement best represents the model? a. 0.6=0.8 b. 0.06<0.08 c. 0.6<0.8 d. 0.6>0.8

Solution Steps

The first question asks us to compare the values of digits in Hector's and Jose's numbers. Let's identify the values of the digits mentioned in the options:

• Hector's Number: 74,812
• Jose's Number: 67,421

Now, let's evaluate each option:

• Option a: The value of the 4 in Hector's number (74,812) is 4,000. The value of the 4 in Jose's number (67,421) is 400. The value of the 4 in Hector's number is indeed 10 times greater than the 4 in Jose's number.
• Option b: The value of the 2 in Hector's number (74,812) is 2. The value of the 2 in Jose's number (67,421) is 20. The value of the 2 in Hector's number is not 10 times greater than the 2 in Jose's number.
• Option c: The value of the 7 in Hector's number (74,812) is 70,000. The value of the 7 in Jose's number (67,421) is 7,000. The value of the 7 in Hector's number is 10 times greater, not 100 times.
• Option d: The value of the 4 in Hector's number (74,812) is 4,000. The value of the 4 in Jose's number (67,421) is 400. They are not equal.

The correct statement is option a.

Aura bought a box of beads with 7,340 beads and has used 2,026 beads. To find out how many beads she has left, we subtract the number of beads used from the total number of beads:

\[ 7,340 - 2,026 = 5,314 \]

Aura has 5,314 beads left.

We need to find which fraction is equivalent to 0.67. Let's evaluate each option:

• Option a: \(\frac{67}{100} = 0.67\)
• Option b: \(\frac{67}{10} = 6.7\)
• Option c: \(\frac{67}{1000} = 0.067\)
• Option d: \(\frac{67}{1} = 67\)

The correct fraction equivalent to 0.67 is option a, \(\frac{67}{100}\).

Final Answer