How to find the whole from the part - SSAT Middle Level Quantitative

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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?

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 .

$9\times1=9$

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?

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 $\frac{1}{10}$ .

$5\times$\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($\frac{1}{100}\right)$

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 .

$7\times1=7$

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

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 .

$3\times10=30$

is in the ones place, so we multiply by .

$6\times1=6$

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

$7\times$\frac{1}{10}$=.7$

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}$[b]{r}30.00\6.00\ +\ .70\ .03 \end{array}}{ \ \ \space36.73}$

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 .

$4\times10=40$

is in the ones place, so we multiply by .

$2\times1=2$

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

$7\times$\frac{1}{10}$=.7$

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}$[b]{r}40.00\2.00\ +\ .70\ .03 \end{array}}{ \ \ \space42.73}$

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 .

$9\times1=9$

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

$7\times$\frac{1}{10}$=.7$

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}$[b]{r}50.00\9.00\ +\ .70\ .05 \end{array}}{ \ \ \space59.75}$

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 .

$6\times10=60$

is in the ones place, so we multiply by .

$8\times1=8$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$$\frac{\begin{array}$[b]{r}60.00\8.00\ +\ .40\ .03 \end{array}}{ \ \ \space68.43}$

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 .

$1\times1=1$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$$\frac{\begin{array}$[b]{r}70.00\1.00\ +\ .20\ .04 \end{array}}{ \ \ \space71.24}$

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 .

$8\times10=70$

is in the ones place, so we multiply by .

$2\times1=2$

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

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

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}$[b]{r}80.00\2.00\ +\ .50\ .05 \end{array}}{ \ \ \space82.55}$

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 .

$9\times1=9$

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 $\frac{1}{100}$ .

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

Then we add the products together.

$$\frac{\begin{array}$[b]{r}90.00\9.00\ +\ .20\ .05 \end{array}}{ \ \ \space99.23}$