Exam 1: Arithmetic, Calculators, and Problem Solving

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Write the number in expanded form. 2,111.221 three 2,111.221 _\text { three }

(Multiple Choice)
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Simplify the numerical expression. Give your answer in reduced form. 742×714\frac { 7 } { 42 } \times \frac { 7 } { 14 }

(Short Answer)
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Match each notation below with the letter of the corresponding number.
1313
5,659,5005,659,500
2929
16⋅101816 \cdot 10 ^ { 18 }
3333
prime
Correct Answer:
Verified
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Responses:
1313
5,659,5005,659,500
2929
16⋅101816 \cdot 10 ^ { 18 }
3333
prime
3434
composite
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Change the number 1,022 three 1,022 _\text { three } to base ten.

(Multiple Choice)
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Change the mixed number to an improper fraction. 6376 \frac { 3 } { 7 }

(Multiple Choice)
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8⋅10+7⋅5=1158 \cdot 10 + 7 \cdot 5 = 115

(True/False)
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Match each estimate below with the letter of the corresponding situation.
$4000
If 300 shares of a stock cost $17,400, estimate the value of each share of stock.
$40000
If 300 shares of a stock cost $9,700, estimate the value of each share of stock.
$60
If an estate worth 7,400 is to be divided equally between two children, estimate each child's share.
Correct Answer:
Verified
Premises:
Responses:
$4000
If 300 shares of a stock cost $17,400, estimate the value of each share of stock.
$40000
If 300 shares of a stock cost $9,700, estimate the value of each share of stock.
$60
If an estate worth 7,400 is to be divided equally between two children, estimate each child's share.
$30
If an estate worth 205,000 is to be divided equally between five children, estimate each child's share.
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Write the following number in decimal notation. 2.3×1042.3 \times 10 ^ { 4 }

(Short Answer)
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Write 3.1×1043.1 \times 10 ^ { 4 } in standard notation.

(Multiple Choice)
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Convert the following mixed number to a decimal. 9189 \frac { 1 } { 8 }

(Multiple Choice)
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Write the following number in decimal form. 4⋅104+8⋅10+9+9⋅10−14 \cdot 10 ^ { 4 } + 8 \cdot 10 + 9 + 9 \cdot 10 ^ { - 1 }

(Short Answer)
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What is the LCD of fractions with the denominators 12, 8, and 5?

(Short Answer)
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Simplify the numerical expression. Give your answer in reduced form. 113÷4141 \frac { 1 } { 3 } \div 4 \frac { 1 } { 4 }

(Short Answer)
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Simplify the following expression. 4⋅6+7⋅54 \cdot 6 + 7 \cdot 5

(Short Answer)
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Simplify the numerical expression. Remember that fractions are not considered simplified unless they are reduced. 78−67\frac { 7 } { 8 } - \frac { 6 } { 7 }

(Multiple Choice)
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A truck can safely haul a one-ton load. If it is used to deliver 12\frac { 1 } { 2 } ton of sand and 13\frac { 1 } { 3 } ton of gravel, what portion of a ton of cement can safely be added to the load? __________ ton

(Short Answer)
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Change 254 to base eight. Change 254 to base eight.

(Short Answer)
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Evaluate the following expression. (5+15)(58−8)( 5 + 15 ) ( 58 - 8 )

(Multiple Choice)
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5⋅2+5⋅11−19=465 \cdot 2 + 5 \cdot 11 - 19 = 46

(True/False)
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Write the following number without using exponents. ( Multiply out.) 3.7×1033.7 \times 10 ^ { 3 }

(Short Answer)
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