Reteaching

Set A, pages 4–6

Write different forms of the number 82,700,360,000,000 and tell the place and value of the digit 6.
Word form: eighty-two trillion, seven hundred billion, three hundred sixty million
Expanded form: (8 × 10,000,000,000,000) + (2 × 1,000,000,000,000) + (7 × 100,000,000,000) + (3 × 100,000,000) + (6 × 10,000,000)
The 6 is in the ten millions place.
Its value is 6 × 10,000,000 = 60,000,000.

Remember to start at the right and work your way left to each period when finding the place and value of a whole number digit. Periods are groups of three digits separated by commas.
In 1 through 6, what is the place and value of the underlined digit?
Question 1.
327,018

Question 2.
19,345

Question 3.
71,329,684

Question 4.
6,291,378

Question 5.
632,109,874

Question 6.
7,263

Set B, pages 8–9

Use > or < to compare the two whole numbers.
728,316 ◯ 728,361
Compare the digits in each place. So, 728,316 < 728,361.

Remember when you compare two whole numbers, line them up so their place values align and then compare their digits from left to right.
Use < or > to compare 1 through 4.
Question 1.
69,354 _____ 69,435
69,354 69,435
Explanation:

Question 2.
27,461,398 ______ 27,164,398
27,461,398 27,164,398
Explanation:

Question 3.
eighteen trillion ______ 18,000,001
eighteen trillion 18,000,001
Explanation:

Question 4.
527 thousand ______ 527,001
527 thousand 527,001
Explanation:

Set C, pages 10–12

Evaluate 63.
6 is the base and 3 is the exponent.
6 is used as a factor 3 times.
6 × 6 × 6 = 216
Write 29,654 in expanded form using
exponents. (2 × 104) = (9 × 103) = (6 × 102) = (5 × 101) = (4 × 100)

Remember that any base number, except zero, with an exponent of 0 has a value of 1.

Evaluate 1 through 3.
Question 1.
92
81
Explanation:

Question 2.
991
99
Explanation:

Question 3.
3,1050
1
Explanation:

Question 4.
Write6,209inexpandedform using exponents.
(6 × 103) + (2 × 102) + (9 × 100)
Explanation:

Set D, pages 14-16 Write the place and value of the underlined digit in 2.0795.
The 7 is in the hundredths place.
Its value is 7 × 0.01 = 0.07.

Remember to pay attention to the decimal point and zeros when determining the place and value of a decimal digit.
What is the place of the underlined digit?
Question 1.
17.903
thousandths
Explanation:

Question 2.
28.1
tenths
Explanation:

Question 3.
68.0009
ten thousandths
Explanation:

Question 4.
94.002
ones
Explanation:

Set E, pages 18-19

Use <, >, or = to compare the two decimals.
37.106 ◯ 37.110
Compare the digits in each place. The digits are the same until the hundredths place.
37.106
37.110
0 < 1,
so 37.106 < 37.110.

Remember that when you compare decimals, line up their decimal points and then compare their digits from left to right.
Use <, >, or = to compare the two decimals.
Question 1.
95.17 _____ 95.71
95.17 95.71
Explanation:

Question 2.
0.74 ______ 0.7400
0.74 0.7400
Explanation:

Question 3.
37 _____ 0.37
37 0.37
Explanation:

Question 4.
224.9 ______ 224.92
224.9 224.92

Set F, pages 20-21

Elise, Jasmine, Fatima, and Nola want to jump rope at recess. In how many ways can the girls be paired to twirl the rope?
Make an organized list. Choose one of the girls. Find the possible pairs, keeping that girl fixed. Repeat with each girl. Then cross out any repeated pairs. 6 possible pairs of girls can twirl the rope.

Remember to keep each item fixed and find all the possible combinations for that item.
Question 1.
Heyden’s mom bought peaches, pears, bananas, apples, and grapes. How many ways can Heyden combine the fruit so he has two different pieces of fruit in his lunch, without repeating any combinations?