are the numbers produced when starting with one
• are the numbers produced when, starting with one (1), and repeatedly collect them into groups of 10. • 1, 100 etc • 0. 1, 0. 001 etc
Number Ten (10) • Number Ten (10) is a collection of ten Ones. • 10 = 10 x 1
Number One Hundred (100) • One Hundred (100) is a collection of ten Tens. • 100 = 10 x 10
Number One Thousand (1 000) • One Thousand (1000) is a collection of ten One Hundreds • 10 x 100 •
One Ten One hundred One thousand Ten thousand One hundred thousand One million Ten million One hundred million One billion Ten billion 1 10 100 1, 000 100, 000 1, 000, 000 10, 000, 000 One hundred billion 100, 000, 000
One Tenth One Hundredth One Thousandth One Ten Thousandth One Hundred Thousandth One Millionth 0. 1 0. 001 1/1000 0. 0001 1/10 000 0. 00001 1/100 0. 000001 1/1 000
- Add a place for as many zeroes as appear in the power - The decimal moves as many places to the RIGHT as there are zeroes - Remember multiplying a whole number by a whole number means the answer should be bigger! 89 x 10 =89. x 10 = 890. Decimal moves to the right one place
Examples 36 × 10 = 360 Add on one 0. (1 place) 36 x 100 = 3600 Add on two 0's. (2 places) 36 x 1000 = 36 000 Add on three 0's. (3 places)
-Take a place away for each place past the decimal until a whole number is reached e. g. 0. 01 means move 2 places 0. 01 moves 2 places to the right to get 1 ** Remember multiplying a decimal number by a whole number means the answer should be getting smaller!
Examples 3400 x 0. 001 = 3400 = 3. 400 = 3. 4 3400 x 0. 01 = 3400 = 34 3400 x 0. 1 = 3400 = 340 The decimal in the whole number moves as many places to
-Or move the decimal to the LEFT for each zero in the denominator e. g. 0. 01 is equal to 1/100 and there are two zeroes in the denominator 0. 1 = 1/10 1 zero = 1 place to the LEFT 0. 01 = 1/100 2 zeroes = 2 places to the LEFT 0. 001 = 1/1000 3 zeroes = 3 places to the LEFT 0. 0001 = 1/10 000 4 zeroes = 4 places to the LEFT
Examples 3400 x 0. 001 = 3400 x 1/1000= 3. 400 = 3. 4 (3 places) 3400 x 0. 01 = 3400 x 1/100 = 34 (2 places) 3400 x 0. 1 = 3400 x 1/10 = 340. 0 = 340 (1 place) The decimal in the whole number moves as many places to
Find the product. Write the rule for multiplying by 100. a) 100 x 350 b) 100 x 35 c) 100 x 3. 5 d) 100 x 0. 35 e) 679 x 100 f) 67. 9 x 100 g) 6. 79 x 100 h) 0. 679 x 100
Find the product. Write the rule for multiplying by 100. a) 100 x 350 = 350 000 b) 100 x 35 = 3 500 c) 100 x 3. 5 = 350 d) 100 x 0. 35 = 35 e) 679 x 100 = 679 000 f) 67. 9 x 100 = 6 790 g) 6. 79 x 100 = 679 h) 0. 679 x 100 = 67. 9 Rule: ? ?
Find the product. Write the rule for multiplying by 100. a) 100 x 350 = 350 000 b) 100 x 35 = 3 500 c) 100 x 3. 5 = 350 d) 100 x 0. 35 = 35 e) 679 x 100 = 679 000 f) 67. 9 x 100 = 6 790 g) 6. 79 x 100 = 679 h) 0. 679 x 100 = 67. 9 Rule: When Multiplying by 100 move decimal 2 places to the Right
Multiply the following a) 234 x 100 b) 0. 01 x 29 c) 300 x 0. 1 d) 45. 7 x 1000 e) 10 x 4. 3 f) 0. 001 x 600 g) 0. 1 x 56. 3 h) 1000 x 8300
Multiply the following a) 234 x 100 b) 0. 01 x 29 c) 300 x 0. 1 d) 45. 7 x 1000 e) 10 x 4. 3 f) 0. 001 x 600 g) 0. 1 x 56. 3 h) 1000 x 8300 = 23 400 = 0. 29 = 30 = 45 700 = 43 = 0. 6 = 5. 63 = 8 300 000
How To Divide a Number By a Whole Power of 10? - take away a place for as many zeroes as appear in the power - The decimal moves as many places to the LEFT as there are zeroes -Remember dividing a whole number by a whole number means the answer should be smaller! 89 ÷ 10 =89. ÷ 10 = 8. 9 Decimal moves to the left one place
How To Divide a Number By a Whole Power of 10? Examples 36 ÷ 10 = 3. 6 Take away 1 place (one 0) 36 / 100 = 0. 36 Take away 2 place (two 0) 36 ÷ 1000 = 0. 036 Take away 3 place (three 0)
HOW TO DIVIDE A WHOLE NUMBER BY A DECIMAL POWER OF TEN -Add a place for each place past the decimal until a whole number is reached e. g. 0. 01 means move 2 places 0. 01 moves 2 places to the right to get 1 ** Remember dividing a whole number by a decimal means the answer should be getting bigger!
HOW TO DIVIDE A WHOLE NUMBER BY A DECIMAL POWER OF TEN Examples 3400 ÷ 0. 001 = 3 400 000 3400 / 0. 01 = 340 000 3400 ÷ 0. 1 = 34 000 The decimal in the whole number moves as many places to the RIGHT
HOW TO DIVIDE A WHOLE NUMBER BY A DECIMAL POWER OF TEN -Or move the decimal to the RIGHT for each zero in the denominator e. g. 0. 01 is equal to 1/100 and there are two zeroes in the denominator 0. 1 = 1/10 1 zero = 1 place to the RIGHT 0. 01 = 1/100 2 zero = 2 place to the RIGHT 0. 001 = 1/1000 3 zeroes = 3 place to the RIGHT 0. 0001 = 1/10 000 4 zeroes = 4 place to the RIGHT
HOW TO DIVIDE A WHOLE NUMBER BY A DECIMAL POWER OF TEN Examples 3400 / 0. 001 = 3400 ÷ 1/1000= 3 400 000 (3 places) 3400 ÷ 0. 01 = 3400 ÷ 1/100 = 340 000(2 places) 3400 ÷ 0. 1 = 3400 ÷ 1/10 = 34 000 (1 place) The decimal in the whole number moves as many places to the RIGHT
Divide a) 365 ÷ 10 b) 365 ÷ 100 c) 365 ÷ 1000 d) 8970 ÷ 0. 1 e) 8970 ÷ 0. 01 f) 8970 ÷ 0. 001
Divide a) 365 ÷ 10 = 36. 5 b) 365 ÷ 100 = 3. 65 c) 365÷ 1000 = 0. 365 d) 8970 ÷ 0. 1 = 89 700 e) 8970 ÷ 0. 01 = 897 000 f) 8970 ÷ 0. 001 = 8 970 000
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