Number Forms
Name at least 4 ways we can represent a number.
Then express the number 32,500 in each of the forms.
Standard: 32,500
Expanded: 30,000 + 2,000 + 500
Words: thirty-two thousand five-hundred
Combination of numerals and words: 32.5 thousand
Round 235, 689, 471, 963, 828 to the nearest trillion. Then express the number using a combination of numerals and words.
236 trillion
Which number is closer to zero, 1 million or 1 trillionth?
1 trillionth
Express 350, 017, 402 in standard, expanded and word form. Then round to the nearest million and represent your rounded answer using a combination of numerals and words.
Standard: 350, 017, 402
Expanded: 300,000,000 + 50,000,000 + 10,000 + 7,000 + 400 + 2
Words: three-hundred fifty million seventeen thousand four-hundred two
Rounded: 350 million
Round 8.765 billionths to the nearest hundred billionths.
Express your answer in standard form and then using a combination of numerals and words
Standard
0.000 000 008 77
Words
877 hundred billionths
City Project A has a budget of 15 million dollars. City Project B has a budget of 0.003 trillion dollars. Which project has the larger budget? How many times larger is it?
Project A = $15,000,000
Project B = $3,000,000,000
Project B has a larger budget.
3,000,000,000 / 15,000,000 = 200x larger
Express the following numbers in words:
389, 246
0. 000 067 2
Three-hundred eighty-nine thousand two-hundred forty-six
Six-hundred seventy-two ten millionths
Round 70.675 million to the nearest ten thousand.
Express your answer in standard form and then using a combination of numerals and words.
Standard
70, 680, 000
Words
7068 ten thousands
Star A is located 350 hundred-thousand light-years away from Earth. Star B is located 0.07 million light-years away. Which distance is greater? How many times greater is it?
Star A: 35,000,000 light-years
Star B; 70,000 light-years
Star A’s distance is greater.
35,000,000 / 70,000 = 500x greater
Express the following numbers in standard form:
0.675 billion
312.47 millionths
675, 000, 000
0.000 312 47
Round 878, 899, 042, 826, 009 to the nearest ten billions. First represent your answer using standard form. Then express your answer in at least three different ways using a combination of numerals and words.
Standard
878, 900, 000, 000, 000
Numerals and Words
8789 hundred billion
878.9 trillion
87.89 ten trillion
8.789 hundred trillion
Sample X contains 360 trillionths of a gram of a rare element. Sample Y contains 0.018 billionths of a gram of the same element. Which sample contains a greater mass? How many times greater is it?
Sample X: 0.000 000 000 36 g
Sample Y: 0.000 000 000 018 g
Sample X contains more mass.
0.000 000 000 36 / 0.000 000 000 018 = 20x greater
Express 0.000 049 872 in expanded form and using a combination of numerals and words.
Expanded
0.000 040 000 + 0.000 009 000 +
0.000 000 800 + 0.000 000 070 +
0.000 000 002
Words
Forty-nine thousand eight-hundred seventy-two billionths
Round 0.000 000 076 999 to the nearest ten billionths.
First express your answer using standard form. Then express your answer in at least three different ways using a combination of numerals and words.
Standard
0.000 000 077 0
Words
770 ten billionths
77 billionths
0.077 millionths
7.70 hundred millionths
1 micromoeter (µm) = 1000 millimeters (mm).
The average diameter of a sperm cell is 0.02mm and the average diameter of a mature female egg cell is ~120µm. Which is larger and approximately how many times larger is it?
female egg cell = 0.12 mm
sperm cell = 0.02 mm
Female egg cell is larger.
0.12 / 0.02 = 6
Therefore a female egg cell is 6x larger than a sperm cell.