4.1.B*

Decimals 4th Grade

Texas Essential Knowledge and Skills (TEKS): 4.1.B*
use place value to read, write, compare, and order decimals involving tenths and hundredths, including money, using concrete objects and pictorial models.

Place value is used to read and write multi-digit decimal numbers.

Example:

The number before the decimal point has a 2 in the hundreds place, a 9 in the tens place, and a 1 in the ones place.
This is written as two hundred ninety-one.

The decimal point is written as "and."

The number after the decimal point has a 4 in the tenths place and a 1 in the hundredths place.
Since the last digit is in the hundredths place, this is written as
forty-one hundredths.

So, the number written in words is two hundred ninety-one and
forty-one hundredths.

Example:

Ninety-six is written 96.

One hundredth is written so that the last digit is in the hundredths place, 0.01.

So, ninety-six and one hundredth written as a number is 96.01.

Decimals can be compared using models.

Base ten blocks can be used to compare decimals.
In this case, a flat represents 1, a rod represents 0.1, and a unit represents 0.01.

0.1

0.01

Example:

The model on the left is made up of five rods, so it represents 0.5.

The model on the right is made up of two rods, so it represents 0.2.

The model on the left has more rods than the model on the right.

So, a comparison shown by the models is 0.5 > 0.2.

Decimals can be compared using models.

Grid models can be used to compare decimals.

If the whole is divided into ten equal parts, each part represents 0.1.
If the whole is divided into one hundred equal parts, each part represents 0.01.

Example:

The model on the left is divided into 100 equal parts, and 46 are shaded.
So, it represents 0.46.

The model on the right is divided into 100 equal parts, and 73 are shaded.
So, it represents 0.73.

The model on the left has fewer parts shaded than the model on the right.

So, a comparison shown by the models is 0.46 < 0.73.

Decimals can be compared using models.

Number lines can be used to compare decimals.

If the tick marks on the number line separate the space between consecutive whole numbers into ten sections, each tick mark represents 0.1.

Example:

The tick marks separate the space between consecutive whole numbers into ten sections.
So, each tick mark on the number line represents 0.1.

The dot on the first number line is at 3.4.

The dot on the second number line is at 3.3.

The dot on the first number line is to the right of the dot on the second number line.
So, a comparison shown by the number lines is 3.4 > 3.3.

Decimals can be compared using place value.

Example:

Compare the digits in each place from left to right.
Start with the tenths place.

7 = 7

The digits in the tenths place are equal, so compare the digits in the hundredths place.
When a digit is not shown at the end of a decimal, the digit in that place is zero.

So, both numbers have a zero in the hundredths place.
This means that 0.7 = 0.70.

Therefore, the symbol that correctly completes the comparison is =.

Decimals

Texas Essential Knowledge and Skills (TEKS): 4.1.B*

use place value to read, write, compare, and order decimals involving tenths and hundredths, including money, using concrete objects and pictorial models.

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