Unit 3 Rounding, ordering, and Place Value Relationship

What is the value of the "3" in the number 5,321.45?

Multiple Choice

What is the value of the digit 3 in the number 5321.45?

• 3 tenths

• 3 tens

• 3 hundredths

• 3 hundreds

​As numbers shift to the left, the numbers increase by powers of 10.
IE. If $1 becomes 10 times greater. Now it's $10. If $1 becomes 100 times greater, then it's $100

However, when numbers shift to the right, these numbers decrease by powers of 10. For example, If $1 shifts to the right one time it becomes .10 cents.

​

12.87 or 8.1

Look at the two numbers above, and describe their relationship.

​Look at the digit 8 in both numbers

​Subheader text

15.93 or 3.7

Look at the two numbers above, and describe their relationship.

​Look at the digit 8 in both numbers

​Subheader text

Multiple Choice

Look at the two numbers below, describe the relationship of the digit 3 in the hundredths place and the digit 3 in the ones place.

15.93 or 3.7

• The 3 in the hundredths place is 1/10 the value of the 3 in the ones place.

• The 3 in the hundredths place is 1/1000 the value of the 3 in the ones place.

• The 3 in the hundredths place is 1/100 the value of the 3 in the ones place.

Multiple Choice

Look at the two numbers below, describe the relationship of the digit 2 in the tens place and the digit 2 in the ones place.

25.8 or 2.9

• The 2 in the hundreds place is 100 times greater than the 2 in the tens place.

• The 2 in the tens place is 10 times greater than the 2 in the ones place.

• The 2 in the ones place is 10 times greater than the 2 in the tens place.

Reorder

What is four and six hundred seventy-eight thousandths in numerical form?

• 4

• .

• 6

• 7

• 8

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

Select the correct expanded form for the following number: 4.678

• (4 x 100) + (6 x 1) + (7 x 1/10) + (8 x 1/100)

• (4x 1) + (6 x 1/10) + (7 x 1/100) + (8 x 1/1000)

• (4 x 10) + (6 x 1/10) + (7 x 1/100) + (8 x 1/1000)

Rounding Numbers

​15.78

When rounding this number to the nearest ones, create your number line and place the whole number down as the beginning point. Then place the next whole number as the end point.

​16

​15

Rounding Numbers

​Round to the nearest ones: 15.78

Next, determine the midpoint and place it on the number line.

​16

​ 15.5

​15

Rounding Numbers

​Round to the nearest ones: 15.78

Finally, determine where the number above would fall. Place a "0" below to help you determine if need be.

​16.00

​ 15.50

​15.00

Rounding Numbers

​Round to the nearest ones: 15.78

Since the number above would fall near the next whole number, we need to round up or to 16.

​16.00

​ 15.50

​15.00

Rounding Numbers

15.78

When rounding this number to the nearest tenths, create your number line and place 15.7 as the beginning point (since the focus is on the tenths place, be sure to include the tenths place). Then add one to the tenths place. This NEW number will become your end point.

​15.7

​15.8

Rounding Numbers

Rounding to the nearest tenths: 15.78

Next, determine the midpoint and place it on the number line. Sometimes it helps to place a "0" to determine the midpoint.

​15.70

​15.80

​ 15.75

Rounding Numbers

Rounding to the nearest tenths: 15.78

Since the number above would fall near 15.80, we need to round up or to 15.8.

​15.70

​15.80

​ 15.75

Multiple Choice

Round 7.25 to the nearest tenths.

• 7

• 7.2

• 7.3

Multiple Choice

Round to the nearest ones: 7.259

• 7

• 8

• 7.2

Alex spent $29.87 at Publix. Vickie spent $14.26 at Kroger. How much more money did Alex spend than Vickie.

​

A day at the grocery store

Alex spent $29.87 at Publix. Vickie spent $14.26 at Kroger. How much more money did Alex spend than Vickie.

​

Without using any numbers, summarize

Alex spent $29.87 at Publix. Vickie spent $14.26 at Kroger. How much more money did Alex spend than Vickie.

​

Would it make sense to add or subtract? How do you know.

Alex spent $29.87 at Publix. Vickie spent $14.26 at Kroger. How much more money did Alex spend than Vickie.

​

If you were thinking you need to subtract, you are CORRECT.

Alex spent $29.87 at Publix. Vickie spent $14.26 at Kroger. How much more money did Alex spend than Vickie.

​

$29.87 - $14.26= $15.61

Reorder

Reorder the following decimals from least to greatest: 3.436, 37.89, 3.525, 4.547

• 3.436

• 3.525

• 4.547

• 37.89

1

2

3

4

• 1
• 2
• 3
• 4