Numbers and Operations

Help Questions

MAP 5th Grade Math › Numbers and Operations

Questions 1 - 3

Round to the nearest tenth.

Explanation

When we round a number to the nearest tenth we look to the hundredths place to tell us if we round up or down.

$427.1{\color{Blue} 2}7$

If the number in our hundredths place is or greater, we round up. If the number in the hundredths place is or less, we round down. When we round up, the number in the hundredths place increases by and all the other numbers to the right become . When we round down, the number in the hundredths place stays the same and all the other numbers to the right become .

In this case, is less than so our rounded number is or

What is in expanded form?

$9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{100}\right)$

$9\times1+2\times\left(\frac{1}{10}\right)+5\times\left(\frac{1}{1000}\right)$

$9\times1+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{100}\right)$

$9\times1+2\times\left(\frac{1}{100}\right)+5\times\left(\frac{1}{1000}\right)$

Explanation

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

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.

$\frac{\begin{array}[b]{r}9.00\ +\ .20\ .05 \end{array}}{ \ \ \space9.25}$

Fill in the blank with the correct sign.

$\small 4$ __________ $\small \small 4\times\frac{1}{4}$

Explanation

$\small 4$ __________ $\small \small 4\times\frac{1}{4}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{4}{1}\times\frac{1}{4}=\frac{4}{4}$

$\small \frac{4}{4}=1$

$\small 4$ __________ $\small 1$

$\small 4>1$

Return to subject