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 + 20,000 + 7,000 + 500 + 3
b) 100,000 + 20,000 + 7,000 + 500 + 30
c) 100,000 + 20,000 + 7,000 + 500 + 30
d) 100,000 + 20,000 + 70,000 + 500 + 3
Answer: a) 100,000 + 20,000 + 7,000 + 500 + 3
What is the standard form of the expanded notation: 900,000 + 50,000 + 7,000 + 200 + 30 + 4?
a) 957,234
b) 957,204
c) 950,234
d) 950,204
957,204
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 notation: 800,000,000 + 60,000,000 + 4,000,000 + 900,000 + 20,000 + 300 + 30 + 2?
a) 864,923,032
b) 864,923,302
c) 864,932,032
d) 864,932,302
b) 864,923,302
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 + 30,000,000 + 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
a) 500,000,000 + 30,000,000 + 6,000,000 + 70,000 + 2,000 + 900 + 1
What is the standard form of the expanded notation: 30,000 + 1,000 + 400 + 50 + 6?
a) 31,456
b) 31,406
c) 31,460
d) 31,506
b) 31,406
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-four
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 notation: 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) 3,560,234
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-two
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 + 8,000 + 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) 4532
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