1. Four tenths of five tenths?
STANDARD 1.2
A tenth of a tenth?
A tenth of three tenths?
Four tenths of five tenths?
Six tenths of six tenths?
Finding the pattern: A tenth of…
PROBLEM 1
PROBLEM 2
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2. GRADE 7: Number Sense
1.2 Add, subtract, multiply and divide rational numbers and take positive rational numbers to whole-number powers
1.2 Sumar, restar, multiplicar y dividir números racionales y elevar números positivos racionales a potencias de enteros.
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3. 1 tenth of 1 tenth is 1 hundredth10 of 1 10 1 10 1
100 =
= .01
(.1)(.1)= .01
then 1 10
1 tenth of 1 tenth is 1 hundredth 1 10
STANDARD 1.2
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4. 1 tenth of 4 tenths are 4 hundredths10 of 4 1 10 4 10 4
100 =
= .04
(.1)(.4)= .04
then 1 10
1 tenth of 4 tenths are 4 hundredths 4 10
STANDARD 1.2
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5. 4 tenths of 5 tenths are 20 hundredths10 of 5 4 10 5 10 20
100 =
= .20
(.4)(.5)= .20 4 10
then
4 tenths of 5 tenths are 20 hundredths 5 10
STANDARD 1.2
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6. 6 tenths of 6 tenths are 36 hundredths10 of 6 10 6 10 6 10 36
100 =
= .36
(.6)(.6)= .36
then
6 tenths of 6 tenths are 36 hundredths 6 10
STANDARD 1.2
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7. Can you find the pattern, when you multiply a decimal by a tenth?
A TENTH OF … 1 10 1 1 10 =
= .1
(.1)(1)= . 1 1 10 1 10 1
100 =
= .01
(.1)(.1)= .01 1 10 1
100 1
1000 =
= .001
(.1)(.01)= .001 1 10 1
1000 1
10000 =
= .0001
(.1)(.001)= .0001 1 10 1
10000 1
100000 = =
(.1)(.0001)=
Can you find the pattern, when you multiply a decimal by a tenth?
You move the decimal point one place to the left inserting a zero if necessary.
What would happen when you multiply by a hundredth? By a thousandth?
STANDARD 1.2
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8. A THOUSANDTH is a tenth of a hundredth.
What is a thousandth?
A THOUSANDTH is a tenth of a hundredth.
STANDARD 1.2
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9. Decimal places in the result.1
1.7
Decimal places x 3 1 17 10 51 10 = 3
Decimal places
(3)(1.7) =
= 5.1 5 1 1
Decimal places in the result.
Three TENTHS of 1.7 x
1.7 .3
Decimal places
Decimal places in the result. 1 3 10 17 10 51
100 = 1
(.3)(1.7)=
= .51 5 1 2
Three HUNDREDTHS of 1.7 x
1.7
.03
Decimal places
Decimal places in the result. 1 3
100 17 10 51
1000 = 2
(.03)(1.7)=
= .051 5 1 3
Three THOUSANDTHS of 1.7 x
1.7
.003
Decimal places
Decimal places in the result. 1 3
1000 17 10 51
10000 = 3
(.003)(1.7)=
= .0051 5 1 4
Can you figure out the rule?
STANDARD 1.2
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10. Penny Remember! STANDARD 1.2 1 cent A hundredth of a dollar. 1¢ $1
100
=$ .01
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11. Decimal places in the result. 2 1 1 5 1 3 3 = .2
John had 65 cents and he spent a fifth of this money buying a candy. What amount did he spend in hundredths of a dollar?
65¢
100
=$ .65 x
.65 .2
Decimal places
Decimal places in the result. 2 1 1 5 1 3 3
= .2 1 5 65
100
(.2)(.65)= .130
=.13
So, he spent 130 thousandths of a dollar or 13 hundredths of a dollar.
STANDARD 1.2
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12. Decimal places in the result. 1 1 2 8 2
The beach is at 5.6 miles from the main road. A store is located at half of this distance, north the beach. How many miles away is the store from the beach?
Half of the distance: 1 2
= .5 x
5.6 .5
Decimal places
Decimal places in the result. 1 1
2 8 2
So, the store is located at 2.8 miles from the beach.
Two and eight tenths of a mile.
STANDARD 1.2
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