SCA Study Guide #1
NAME _______________________
Test Date: Thursday, 09/25/14
I Can Use Place Value and Operations to Help Me Understand Math:
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I can understand and explain the value of digits.
I can explain patterns when multiplying a number by powers of 10
I can explain patterns when a decimal is multiplied or divided by a power of 10.
I can read, write, and compare decimals to thousandths.
I can use place value understanding to round decimals to any place.
I can add and subtract decimals to hundredths. I can use concrete drawing to
explain the method I used.
Math Vocabulary to Know and Understand:
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Place Value
Tenths
Hundredths
Thousandths
Digits
Numerals
Value
Base Ten
Exponents
Standard Form
Word Form
Unit Form
Expanded Form
Decimal Point
Whole Numbers
Sum
Difference
Product
Quotient
Factor
Multiple
Compare
Ascending Order
Descending Order
Estimate
Round
Regroup
Express
Order
Practice Problems:
1) Use the place value chart below to answer the following questions.
Hundreds Tens
2
5
Ones
9
.
Tenths
6
Hundredths Thousandths
1
4
A. In what form is the decimal number written?
B. Express the decimal number in word form.
C. Write the decimal number in unit form.
D. Write the decimal number in expanded form using fractions.
E. Write the decimal number in expanded form using decimals.
F. Represent the number as a fraction or mixed number.
2) Which of the following have a 7 in the hundredths place? Circle all that apply.
A.
B.
C.
D.
E.
F.
7.007
0.07
70.7
700.007
7,000.07
700.7
3) Which expression shows 90.671 in expanded form?
A.
B.
C.
D.
9 x 10 + 6 x 1 + 7 x (1/10) + 1 x (1/100)
9 x 1 + 6x (1/10) + 7 x (1/100) + 1 x (1/100)
9 x 10 + 6 x (1/10) + 7 x (1/100) + 1 x (1/1000)
4 x 10 + 6 x 1 + 7 x (1/100) + 1 x (1/1000)
4) In which number does the 3 represent a value 10 times the value represented by the 3
in 24,398?
A.
B.
C.
D.
693,452
234,618
120,983
647,832
5) Which of the following expressions is equivalent to 10,000? Circle all that apply.
A.
B.
C.
D.
E.
F.
10 3
10 4
10 x 10 x 10
100 x 100
10 x 10 x 10 x 10
100 x 100 x 100 x 100
6) A number is given below.
123.45
In a different number, the 4 represents a value which is one-tenth (1/10) of the value of
the 4 in the number above. What value is represented by the 4 in the other number?
A.
B.
C.
D.
4 tens
4 ones
4 tenths
4 hundredths
7) A number is given below.
612.07
In a different number, the 1 represents a value, which is 10 times the value of the 1 in the
number above. What value is represented by the 1 in the other number?
A.
B.
C.
D.
1 tenth
1 one
1 ten
1 hundreds
8) Compute the product of the problem below. Draw a place value chart if needed.
Then explain what direction the 5 moved and why. (3 points)
163.58 x 10 2
9) Determine the quotient of the problem below. Draw a place value chart if needed.
Then explain what direction the 2 moved and why. (3 points)
25,963 ÷ 10 3
10) Determine the product of the problem below. Draw a place value chart if needed.
Then explain what direction the 5 moved and why. (3 points)
15 x 10 6
11) Determine the quotient of the problem below. Draw a place value chart if needed.
Then explain what direction the 6 moved and why. (3 points)
2,600,000 ÷ 10 4
12) The following are the times, in seconds for runners during a 100-yard dash.
Sean: 9.675
Lance: 9.7
Willie: 9.67
Joel: 9.75
Order the times from least to greatest. Who ran the race in the least amount of time?
Who took the greatest amount of time? Explain how you know which runner had the
greatest amount of time. (3 points)
13) In a discus competition, an athlete threw the discus 63.37 meters, 62.95 meters, and
63.7 meters. Order the distances from greatest to least. Which distance was the best
throw? Explain. (2 points)
14) Use >, <, or = to compare the following. Use a place value chart to help if necessary.
A.
25.6
2 tens 5 tenths 6 hundredths
B.
0.016
16
100
C.
1 x 10 + 6 x 1 + 5 x (1/100)
16.5
D.
6.5
65 tenths
15) Brynn is solving a puzzle with the decimal numbers show below.
6.2
6.02
0.062
0.62
6.20
0.602
She has to place each of the decimal numbers in one of the boxes shown below so
that it makes a true number sentence. Each decimal number goes in only one box.
A
=
B
C
>
D
E
<
F
On the line above each decimal number, write the letter of the box where that number
belongs.
6.2
6.02
0.062
0.62
6.20
0.602
16) Which of the following could be rounded to 1.8 when rounded to the nearest tenth?
Circle all that apply.
A.
B.
C.
D.
E.
F.
1.825
1.749
1.767
1.843
1.862
1.739
17) Which of the following could be rounded to 2.60 when rounded to the nearest
hundredth? Circle all that apply.
A.
B.
C.
D.
E.
F.
2.605
2.619
2.597
2.594
2.603
2.595
18) Determine the value of the expression below.
157.9 – 24.07
19) Grace bought 0.65 pounds of bananas and 1.2 pounds of grapes at the farmers’
market. What is the total weight of the fruit?
20) Angela made a training plan to run 5.6 miles per day. So far, she has run 3.25 miles
today. How much farther does she have to run to meet her goal for today?