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Introduction to Decimals (Tenths & Hundredths)
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What you will learn from this videoWhat you will learn
- That decimals represent fractions.
- We can compare decimals using symbols like greater than, less than and the equals sign.
- That this knowledge can help us take care of pets, make cheesy bread and even run an obstacle course!
- Discussion Questions
Before Video
How do you compare 347 to 329?ANSWERFirst, I look at the hundreds place. Both numbers have the digit 3 in the hundreds place. So I look at the tens place. There is a 4 in the tens place in 347. There is a 2 in the tens place in 329. 4 is greater than 2, so 347 is greater than 329.
I can divide the square into 10 equal parts and shade 7 parts.
ANSWERThe whole number part of each mixed number is the same. The denominators in the fractions are the same, so we can compare the numerators. 7 is greater than 3, so [ggfrac]7/10[/ggfrac] is greater than [ggfrac]3/10[/ggfrac].1 [ggfrac]7/10[/ggfrac] is greater than 1 [ggfrac]3/10[/ggfrac]. 1 [ggfrac]7/10[/ggfrac] > 1 [ggfrac]3/10[/ggfrac]
ANSWERI could shade 54 of the 100 grid squares.
The whole number part of each mixed number is the same. The denominators in the fractions are the same, so we compare the numerators. 41 is greater than 39 so [ggfrac]41/100[/ggfrac] is greater than [ggfrac]39/100[/ggfrac]. 12[ggfrac]41/100[/ggfrac] is greater than 12[ggfrac]39/100[/ggfrac]. 12 [ggfrac]41/100[/ggfrac] > 12 [ggfrac]39/100[/ggfrac]
After Video
Draw a picture to represent 0.6. ANSWERA shape divided into 10 equal parts with 6 parts shaded.
Both the digit 2 and the digit 4 are in the tenths place. 4 is greater than 2, so 4 tenths is greater than 2 tenths. 0.4 > 0.2
A shape divided into 100 equal parts with 7 parts shaded.
First, I compare the digit in the tenths place. Both numbers have the digit 7 in the tenths place. So I compare the digits in the hundredths place. 0.78 has the digit 8 in the hundredths place. 0.73 has the digit 3 in the hundredths place. 8 hundredths is greater than 3 hundredths. 0.78 is greater than 0.73.
Jason is not correct. 0.3 is equal to 0.30. Now compare 0.09 and 0.30. 30 hundredths is greater than 9 hundredths, so 0.30 is greater than 0.09. 0.3 > 0.09
- Vocabulary
- Decimal DEFINE
A number whose whole number part is separated from the fractional part by a decimal point. The digits following the decimal point show a value that is less than 1.
- Place value DEFINE
The value of a digit based on its position in a number.
- Digit DEFINE
A symbol used to make a numeral. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are the 10 digits we use in our number system.
- Tenth DEFINE
The tenths place shows the number of equal pieces out of 10.
- Decimal point DEFINE
A dot that is used to separate the ones place from the tenths place.
- Less than DEFINE
Shows that one value is less than another. The less than symbol (<) is used to show this relationship.
- Greater than DEFINE
Shows that one value is greater than another. The greater than symbol (>) is used to show this relationship.
- Hundredth DEFINE
The hundredths place shows the number of equal pieces out of 100.
- Decimal DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
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