Numbers and Operations - SSAT Middle Level Quantitative

Card 0 of 5772

What is in expanded form?

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

What is in expanded form?

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

What is in expanded form?

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

What is in expanded form?

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

What is in expanded form?

Tap to see back →

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

What is in expanded form?

Tap to see back →

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

What is in expanded form?

Tap to see back →

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

What is in expanded form?

Tap to see back →

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

What is in expanded form?

Tap to see back →

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

What is in expanded form?

Tap to see back →

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

What is in expanded form?

Tap to see back →

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

What is in expanded form?

Tap to see back →

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

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

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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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.

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

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Divide: $96\div 8=12$

Answer: There will be 12 people in each group.

Give the value of that makes this proportion statement correct:

$\frac{100}{N}$ = $\frac{40}{30}$

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Cross-multiply, then solve for :

$\frac{100}{N}$ = $\frac{40}{30}$

$40 N = 100 \cdot 30$

$40 N \div 40= 3,000\div 40$

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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Divide: $15\div 3=5$

Answer: Each friend will drink 5 ounces of water.

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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Divide:

$21 \div 3=7$

Answer: Pamela can buy 7 tickets.

An eight slice pizza pie must be shared evenly among four friends. How many slices will each person get?

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Divide:

$8\div 4=2$

Answer: Each person must get 2 slices.

Give the value of that makes this proportion statement correct:

$\frac{100}{N}$ = $\frac{70}{30}$

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Cross-multiply, then solve for :

$\frac{100}{N}$ = $\frac{70}{30}$

$70 N = 100 \cdot 30$

$70 N \div 70= 3,000\div 70$

$N = 42 $\frac{6}{7}$$