Expanded Notation
What is the expanded notation for the number 4,738,921?
(4x1,000,000)+ (7x100,000)+ (3x10,000)+ (8x1,000)+(9x100)+ (2x10) + (1x10)=
Which of the following is the correct expanded form for 127,503?
a) 100,000 + 200,000 + 7,000 + 500 + 3
b) 100,000 + 20,000 + 7,000 + 500 + 30
c) 100,000 + 200,000 + 7,000 + 500 + 30
d) 100,000 + 20,000 + 70,000 + 500 + 3
Answer: D) 100,000 + 20,000 + 7,000 + 500 + 3
What is the standard form of the expanded form: 900,000 + 50,000 + 7,000 + 200 + 30 + 4?
957,234
Sarah is organizing the donations at the charity event. She received 475,302 items. Write this number in word form.
a) Four hundred seventy-five thousand, three hundred two
b) Four hundred seventy-five thousand, thirty-two
c) Four hundred seventy-three thousand, two hundred
d) Four hundred seventy-five thousand, three hundred twenty
a) Four hundred seventy-five thousand, three hundred two
A stadium can seat 85,432 people. On Saturday, 34,216 people attended a soccer game, and on Sunday, 28,957 people attended.
Step 1: How many people attended the games over the weekend?
Step 2: How many empty seats were there in the stadium on the day with the higher attendance?
Step 1: 34,216 + 28,957 = 63,173 people attended in total
Step 2: 85,432 – 34,216 = 51,216 empty seats on Saturday
Which number is represented by the expanded notation: (5x10,000,000) + (3x100,000) + (4x1,000) + (9x10) + (6x1)=
50,304,096
Which of the following numbers is represented by the expanded form: 900,000,000 + 70,000,000 + 5,000,000 + 30,000 + 900 + 80 + 4?
a) 975,030,984
b) 970,503,084
c) 900,750,384
d) 975,003,804
a) 975,030,984
Which of the following is the standard form for the expanded form: 800,000,000 + 60,000,000 + 4,000,000 + 900,000 + 20,000 + 300 + 30 + 2?
864,920,332
The school library has 3,842,761 books. Write this number in word form.
a) Three million, eight hundred forty-two thousand, seven hundred sixty-one
b) Three million, eight hundred forty-two thousand, seventy-six thousand one
c) Three million, eight hundred thirty-four thousand, seven hundred sixty-one
d) Three million, eight hundred forty-two thousand, seventy-one
a) Three million, eight hundred forty-two thousand, seven hundred sixty-one
A toy company produced 624,138 action figures in January. In February, it produced 289,405 more than in January.
Step 1: How many action figures were produced in February?
Step 2: What is the total number of action figures produced in both months?
Answer:
Step 1: 624,138 + 289,405 = 913,543 action figures in February
Step 2: 624,138 + 913,543 = 1,537,681 action figures in total
Write the number 62.53 in expanded notation.
(6x10)+(2x1)+(5x.1)+(3x.01)=
What is the correct expanded form for the number 536,072,901?
a) 500,000,000 + 300,000,000 + 6,000,000 + 70,000 + 2,000 + 900 + 1
b) 500,000,000 + 30,000,000 + 6,000,000 + 70,000 + 2,000 + 900 + 10
c) 500,000,000 + 30,000,000 + 6,000,000 + 70,000 + 2,000 + 900 + 100
d) 500,000,000 + 30,000,000 + 6,000,000 + 70,000 + 2,000 + 900 + 1
d) 500,000,000 + 30,000,000 + 6,000,000 + 70,000 + 2,000 + 900 + 1
What is the standard form of the expanded form: 30,000 + 1,000 + 400 + 50 + 6?
a) 31,456
b) 31,406
c) 31,460
d) 31,506
A) 31,456
There are 987,654 people attending the concert. Write this number in word form.
a) Nine hundred eighty-seven thousand, six hundred fifty-four
b) Nine hundred eighty-seven thousand, six hundred fifty-four thousand
c) Nine hundred thousand, six hundred seventy-five thousand
d) Nine hundred seventy-eight thousand, six hundred fifty-nine
a) Nine hundred eighty-seven thousand, six hundred fifty-four
A bakery used 12.75 pounds of flour on Monday and 9.5 pounds on Tuesday.
Step 1: How many pounds of flour did the bakery use in total over the two days?
Step 2: If the bakery started with 30.00 pounds of flour, how much flour is left after Tuesday?
Answer:
Step 1: 12.75 + 9.5 = 22.25 pounds
Step 2: 30.00 – 22.25 = 7.75 pounds
Write 450,009,623 in expanded notation
4x100,000,000 + 5x10,000,000 +9x1,000 + 6x100 +2x10 + 3x1
What is the numeral for the expanded form: 3,000,000 + 500,000 + 60,000 + 7,000 + 200 + 30 + 4?
a) 3,567,234
b) 3,567,204
c) 3,506,234
d) 3,560,239
b) 3,567,204
Which of the following is the standard form for the expanded notation: 100,000 + 70,000 + 2,000 + 500 + 40 + 3?
a) 172,543
b) 172,503
c) 172,543
d) 172,453
b) 172,503
A company sold 12,564,932 products last year. Write this number in word form.
A) Twelve million, five hundred sixty-four thousand, three hundred twenty-nine B) Twelve million, five hundred sixty-four thousand, three hundred twenty C) Twelve million, five hundred sixty-four thousand, nine hundred thirty-two D) Twelve million, fifty-six thousand, nine hundred thirty-six
C) Twelve million, five hundred sixty-four thousand, nine hundred thirty-two
Lila ran 2.6 miles on Wednesday and 3.75 miles on Thursday.
Step 1: How many miles did Lila run over the two days?
Step 2: If her goal was to run 7.5 miles in two days, how many more miles does she need to meet her goal?
Step 1: 2.6 + 3.75 = 6.35 miles
Step 2: 7.5 – 6.35 = 1.15 miles
What is the expanded form of the number 34.86
(3x10)+(4X1)+(8X.1)+(6X.01)
Write the expanded form for the number 18,092.45.
a) 10,000 + 8,000 + 90 + 2 + 0.4 + 0.05
b) 10,000 + 8,800 + 90 + 2 + 0.4 + 0.05
c) 10,000 + 8,000 + 90 + 2 + 0.04 + 0.5
d) 10,000 + 8,000 + 90 + 2 + 0.04 + 0.50
a) 10,000 + 8,000 + 90 + 2 + 0.4 + 0.05
What is the standard form of the expanded notation: 4,000 + 300 + 50 + 2?
a) 4352
b) 3452
c) 4350
d) 4539
a) 4352
A school district has 654,321 students enrolled. Write this number in word form.
a) Six hundred fifty-four thousand, three hundred twenty-one
b) Six hundred fifty-four thousand, three hundred twelve
c) Six hundred thousand, five hundred thirty-four thousand
d) Six hundred fifty-four thousand, thirty-two
a) Six hundred fifty-four thousand, three hundred twenty-one
A store sold $125.40 worth of electronics in the morning and $89.95 in the afternoon.
Step 1: How much money did the store make in total that day?
Step 2: If the store’s goal was to make $250.00, how much more money is needed to reach the goal?
Answer:
Step 1: 125.40 + 89.95 = $215.35
Step 2: 250.00 – 215.35 = $34.65