Whole and Part - SSAT Middle Level Quantitative

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Question

What is in expanded form?

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Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$5\times10=50$

is in the ones place, so we multiply by .

$3\times1=3$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$6\times\frac{1}{100}=.06$

Then we add the products together.

$\frac{\begin{array}[b]{r}50.00\3.00\ +\ .20\ .06 \end{array}}{ \ \ \space53.26}$

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Question

What is in expanded form?

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Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$6\times10=60$

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$6\times\frac{1}{10}=.6$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$2\times\frac{1}{100}=.02$

Then we add the products together.

$\frac{\begin{array}[b]{r}60.00\9.00\ +\ .60\ .02 \end{array}}{ \ \ \space69.62}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$7\times10=70$

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$1\times\frac{1}{10}=.1$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$4\times\frac{1}{100}=.04$

Then we add the products together.

$\frac{\begin{array}[b]{r}70.00\9.00\ +\ .10\ .04 \end{array}}{ \ \ \space79.14}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$8\times10=80$

is in the ones place, so we multiply by .

$7\times1=7$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$5\times\frac{1}{10}=.5$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$3\times\frac{1}{100}=.03$

Then we add the products together.

$\frac{\begin{array}[b]{r}80.00\7.00\ +\ .50\ .03 \end{array}}{ \ \ \space87.53}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$9\times10=90$

is in the ones place, so we multiply by .

$4\times1=4$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

Then we add the products together.

$\frac{\begin{array}[b]{r}90.00\4.00\ +\ .20\ .05 \end{array}}{ \ \ \space94.25}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$1\times10=10$

is in the ones place, so we multiply by .

$4\times1=4$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$5\times\frac{1}{10}=.5$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$7\times\frac{1}{100}=.07$

Then we add the products together.

$\frac{\begin{array}[b]{r}10.00\4.00\ +\ .50\ .07 \end{array}}{ \ \ \space14.57}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$2\times10=20$

is in the ones place, so we multiply by .

$3\times1=3$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$6\times\frac{1}{10}=.6$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

Then we add the products together.

$\frac{\begin{array}[b]{r}20.00\3.00\ +\ .60\ .05 \end{array}}{ \ \ \space23.65}$

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Question

Brett buys a shirt. The original price was $\$25.00$ , but the shirt is on sale for off. Additionally, Brett has a $\$10.00$ off coupon that he uses after the off is applied. What is the price of the shirt in dollars, before tax?

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Answer

If the original price of the shirt was $\$25.00$ , but it is on sale for off, then that means the shirt will be discounted by $\$5$ because of is . $$25.00-$5.00=\$20.00$ . Additionally, with the $\$10.00$ off coupon, the final price would be $$20.00-$10.00=\$10.00$ .

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Question

Sweaters are $\$30.00$ each, but they are on sale: when you buy one, you get one free. Rebecca buys one sweater and gets one free. At checkout, she then presents a coupon for an additional off. What is the average cost of one sweater in dollars (before tax)?

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Answer

If Rebecca buys a $\$30.00$ sweater that is part of a buy one, get one free sale, that means that she will get two sweaters for a total of $\$30.00$ . A off discount will mean that Rebecca will save $\$3.00$ off of her total because of is .

Therefore, the total she will pay is equal to $\$30.00-$3.00=$27.00$ .

The average price of a sweater will therefore be $\frac{$27.00}{2}=$13.50$ .

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$1\times10=10$

is in the ones place, so we multiply by .

$2\times1=2$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$8\times\frac{1}{10}=.8$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$4\times\frac{1}{100}=.04$

Then we add the products together.

$\frac{\begin{array}[b]{r}10.00\2.00\ +\ .80\ .04 \end{array}}{ \ \ \space12.84}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$7\times10=70$

is in the ones place, so we multiply by .

$2\times1=2$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$4\times\frac{1}{10}=.4$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

Then we add the products together.

$\frac{\begin{array}[b]{r}70.00\2.00\ +\ .40\ .05 \end{array}}{ \ \ \space72.45}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$1\times10=10$

is in the ones place, so we multiply by .

$9\times1=9$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$5\times\frac{1}{100}=.05$

Then we add the products together.

$\frac{\begin{array}[b]{r}10.00\9.00\ +\ .20\ .05 \end{array}}{ \ \ \space19.25}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$5\times10=50$

is in the ones place, so we multiply by .

$3\times1=3$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$6\times\frac{1}{100}=.06$

Then we add the products together.

$\frac{\begin{array}[b]{r}50.00\3.00\ +\ .20\ .06 \end{array}}{ \ \ \space53.26}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$8\times10=80$

is in the ones place, so we multiply by .

$7\times1=7$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$3\times\frac{1}{10}=.3$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$7\times\frac{1}{100}=.07$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$6\times\frac{1}{1000}=.006$

Then we add the products together.

$\frac{\begin{array}[b]{r}80.000\7.000\ +\ .300\ .070\.006 \end{array}}{ \ \ \space87.376}$

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Question

What is in expanded form?

Tap to reveal answer

Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$9\times10=90$

is in the ones place, so we multiply by .

$4\times1=4$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$2\times\frac{1}{10}=.2$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$1\times\frac{1}{100}=.01$

is in the thousandths place, so we will multiply by $\frac{1}{1000}$ .

$8\times\frac{1}{1000}=.008$

Then we add the products together.

$\frac{\begin{array}[b]{r}90.000\4.000\ +\ .200\ .010\.008 \end{array}}{ \ \ \space94.218}$

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Question

What is in expanded form?

$2\times10+7\times1+1\times\left(\frac{1}{10}\right)+6\times\left(\frac{1}{100}\right)$

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Answer

When we write a number in expanded form, we multiply each digit by its place value.

is in the tens place, so we multiply by .

$2\times10=20$

is in the ones place, so we multiply by .

$7\times1=7$

is in the tenths place, so we multiply by $\frac{1}{10}$ .

$1\times\frac{1}{10}=.1$

is in the hundredths place, so we multiply by $\frac{1}{100}$ .

$6\times\frac{1}{100}=.06$

Then we add the products together.

$\frac{\begin{array}[b]{r}20.00\7.00\ +\ .10\ .06 \end{array}}{ \ \ \space27.16}$

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Question

Sal is going to the fair with his family. He has $18.00 to buy tickets. How many tickets can he buy if each one costs $2.25?

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Answer

Divide the total amount of money he has by the cost of one ticket: $18\div 2.25=8$

Answer: Sal can buy 8 tickets at the fair.

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Question

Ninety-six people must form eight equal groups. How many people will be in each group?

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Answer

Divide: $96\div 8=12$

Answer: There will be 12 people in each group.

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Question

Three friends are in the desert and must share a 15 ounce bottle of water. How many ounces of water will each friend drink, assuming they split the bottle evenly?

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Answer

Divide: $15\div 3=5$

Answer: Each friend will drink 5 ounces of water.

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Question

Pamela takes her children to the fair. How many $3.00 tickets can she buy if she only has $21.00?

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Answer

Divide:

$21 \div 3=7$

Answer: Pamela can buy 7 tickets.

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