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 END SHOW PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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. PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 tenth of 1 tenth is 1 hundredth 10 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 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

1 tenth of 4 tenths are 4 hundredths 10 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 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

4 tenths of 5 tenths are 20 hundredths 10 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 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

6 tenths of 6 tenths are 36 hundredths 10 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 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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 = = .00001 (.1)(.0001)= .00001 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 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

A THOUSANDTH is a tenth of a hundredth. What is a thousandth? A THOUSANDTH is a tenth of a hundredth. STANDARD 1.2 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

Penny Remember! STANDARD 1.2 1 cent A hundredth of a dollar. 1¢ $1 100 =$ .01 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved

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 PRESENTATION CREATED BY SIMON PEREZ. All rights reserved