5th grade Math Study Guide:
Number Sense Quiz
Friday, September 25, 2015
I.
Be able to write numbers in word form, short word form, standard
form, expanded form, and expanded notation. Examples are on the
reverse side of this guide.
II.
Be able to identify place value, value and period of numerals.
III.
Be able to compare the values of multiples of 10. Example: How
many 100’s are in 10,000? Dance zeros to get the answer_______.
IV.
Be able to compute a base number with an exponent. Example:
52 = ________
V.
and
103 = __________
Number Sense Vocabulary (see reverse). Be able to recognize
vocabulary and definitions.
Number Sense Vocabulary (for the Quiz)
Standard form: A number written with one digit for each place value.
The standard form for the number three thousand five hundred
twenty-three is 3,523.
Word form: The value of a number written in words. The word form
for the number 3,523 is three thousand five hundred twenty-three.
Short Word form: The value of a number written using a combination
of digits and words. The short word form for 35,768,421 is
35 million 768 thousand 421. Hint: each comma is a word.
Expanded form: A way to write numbers that shows the value of each
digit. The expanded form for 56,319 is
50,000 + 6,000 + 300 + 10 + 9.
Expanded notation: A way to write numbers that shows each digit
times the corresponding place value. The expanded notation for
56,319 is
(5 • 10,000) + (6 • 1,000) + (3 • 100) + (1 • 10) + (9 • 1).
Exponent: The exponent tells us how many times to use the base number
as a factor.
A short way of writing 5 • 5 • 5 is 53. The 3 is called the
exponent. The 5 is called the base number. A common mistake is to
think that 53 = 15 ----BUT IT DOES NOT!!! 53 = 5 • 5 • 5 = 125 (think
5 • 5 = 25 and then 25 • 5 = 125
Base Number: The number to be multiplied by itself as many times as
indicated by the exponent
Name _________________________________________
Number Sense Quiz Review
Please use these problems as a review for Friday’s quiz. Answers will be
posted on my webpage. Please check your work and be ready to discuss the
concepts you are still having trouble with when we are back in school.
Write the following numeral in expanded form.
1.
87,264,038,012
____________________________________________________
____________________________________________________
____________________________________________________
Write the following numeral in expanded notation.
2.
52,008,364
____________________________________________________
____________________________________________________
____________________________________________________
Write the following numerals in standard form.
1. (9 • 1,000,000) + (4 • 100,000) + (8 • 1,000) + (2 • 100) + (1 • 10) + (7 • 1)
____________________________________________________
2. (7 • 1,000) + (2 • 1,000,000) + (4 • 10,000) + (9 • 10) +
(3 • 100,000,000)
____________________________________________________
3. (6 • 100,000,000) + (4 • 10,000,000) + (8 • 100,000) + (2 • 1,000) +
(9 • 100) + (3 • 1)
____________________________________________________
Write the following numbers in STANDARD FORM.
1. Fourteen billion thirty-seven million eight hundred twenty-four
____________________________________________________
2. 5,000,000 + 60,000 + 7,000 + 80 + 4
____________________________________________________
3. 3 billion 402 million 17
____________________________________________________
4. (6•1,000,000,000) + (8•1,000,000) + (7 •100,000) + (3•1,000) + (8•10) +
(2•1)
____________________________________________________
Write the following numerals in WORD FORM.
1.
6,000,561,027
____________________________________________________
____________________________________________________
____________________________________________________
2. 806,530,004
____________________________________________________
____________________________________________________
____________________________________________________
Write the following numerals in SHORT WORD FORM.
1. 3,904,026
____________________________________________________
____________________________________________________
2. 4,007,634,207
____________________________________________________
____________________________________________________
In the following number, identify value, place value, or period:
4,598,763,201
What is the place value of the 9?_________________________
What it the value of the 5?_____________________________
What period is the 2 in?________________________________
How many 100,000’s are in 1,000,000? _________________________
How many 1,000’s are in 10,000,000,000? _______________________
How many 10,000’s are in 10,000,000? _________________________
Simplify (compute) the following exponents:
6³=__________________________
4²=_____________________
8º=__________________________
12¹=____________________
10³=_________________________