Download TS Plus-Number Theory level H

Place Value
The position of a digit in a number determines the value of the digit. In the number 609,382,189, the
6 has the place value of hundred millions. The 6 represents 600,000,000.
4. 12,342,768 ______________________________
5. 3,769,345 _______________________________
6. 57,327,654 ______________________________
PL
1. 63,908 __________________________________
hundreds
2. 235,765 ________________________________
3. 40,234 _________________________________
E
Write the place value of the underlined digit in each number. The first one is done for you.
Write the value of the underlined digit in each number. The first one is done for you.
60,000
7. 42,562,213 ______________________________
8. 12,975 __________________________________
11.
12.
13.
14.
M
Write the number.
9. 123,973 _________________________________
10. 532,573 _________________________________
six thousand, five hundred sixty-four ________________________________________________________
seven billion, two hundred six million, ten thousand __________________________________________
three hundred sixteen million, sixty thousand, eight hundred two ______________________________
five billion, eighty million, nine hundred twenty-eight _________________________________________
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SA
Write a standard number for each expanded number.
15. 40,000 + 3,000 + 500 + 30 + 8 = _____________________________________________________________
16. 8,000,000 + 40,000 + 500 + 6 = _____________________________________________________________
17. 7,000,000,000 + 15,000,000 + 6,000 + 900 + 80 + 5 = __________________________________________
TestSMART® Quick Review™, Number Theory, Level H
3
Least Common Multiple
Complete the chart. The first one is done for you.
3.
4.
5.
6.
LCM
10, 20, 30, 40, 50, 60, 70, 80, 90, 100
25, 50, 75, 100, 125, 150, 175, 200, 225, 250
50, 100
50
Use prime factorization to find the LCM of the following numbers. The first one is done for you.
(Multiply the prime factors that are common to the numbers by the prime factors that are not
common to them.)
Least
Number
Prime Factors
LCM
Product
7.
27
3 x 3 x3
3x3x3
SA
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Common
Multiples
PL
2.
10
25
9
15
9
10
4
6
12
20
18
15
10
First 10 Multiples
M
1.
Number
E
A number that is divisible by a number with a remainder of 0 is a multiple of the second number.
6÷3=2
12 ÷ 6 = 2
6 is a multiple of 2 and 3.
12 is a multiple of 6 and 2.
The least common multiple (LCM) is the smallest multiple that two or more numbers have in common.
The LCM of 8 and 12 is 24.
The LCM of 2 and 5 is 10.
8.
9.
45
6
8
12
16
3 x 3 x5
x5
135
TestSMART® Quick Review™, Number Theory, Level H
9