Question 1

A number has an $8$ in the hundredths place. The number also contains a digit whose value is $\frac{1}{10}$ the value of the $8$ in the hundredths place. Which could be the expanded form of the number?

Accepted Answer

$(2 	imes 100) + (7 	imes 10) + (2 	imes 1) + (8 	imes 0.01) + (8 	imes 0.001)$

Answer

$(3 	imes 100) + (8 	imes 10) + (2 	imes 1) + (2 	imes 0.1) + (8 	imes 0.01) + (7 	imes 0.001)$

Answer

$(1 	imes 100) + (8 	imes 0.1) + (8 	imes 0.01) + (2 	imes 0.001)$

Answer

$(8 	imes 100) + (8 	imes 10) + (1 	imes 0.1) + (7 	imes 0.01) + (9 	imes 0.001)$

Question 2

Lucy's dog weighs nine and seventy-five hundredths kilograms. What is the weight, in kilograms, of Lucy's dog written in expanded notation?

Accepted Answer

$9 + 0.7 + 0.05 $

Answer

$9 + 0.07 + 0.005 $

Answer

$9 + 0.07 + 0.05$

Answer

$9 + 0.7 + 0.005 $

Question 3

A number written in expanded form is shown below.

$\quad\big(8 	imes 1,000\big) + \big(3 	imes 100\big) + \big(2 	imes 1\big) +\Big( 4 	imes  \frac{1}{10}\Big) + \Big(7 	imes \frac{1}{1,000}\Big)$

What is the number written in standard form?

Accepted Answer

$8,302.407$

Answer

$8,302.47$

Answer

$832.47$

Answer

$8,320.407$

Question 4

Darren is told that the weight of an old coin is 37.2 grams. However, when he weighs the coin he finds that the digit in the hundredths place has a value that is $\frac{1}{10}$ of the value of the digit in the tenths place. Which expression, in expanded form, shows the weight, in grams, Darren finds?

Accepted Answer

30 + 7 + 0.2 + 0.02

Answer

30 + 7 + 0.2 + 0.10

Answer

30 + 7 + 0.2 + 0.01

Answer

30 + 2 + 0.2

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