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10 20 30 40 “ten counted one time equals ten” or 10x1 = 10 “ten counted two times equals twenty” or 10x2 = 20 “ten counted three times equals thirty” or 10x3 = 30 “ten counted four times equals forty” or 10x4 = 40 When multiplying by ten encourage the student to look for patterns. Notice that whenever you multiply ten times any number the answer is that number plus a zero. That is because 10 is made up of a 1 digit and a 0 digit. So 4 times 10 is 4x1=4 and 4x0=0, or 40. To make sure the student has this concept, I like to ask, “What is banana times ten?” The answer is banana zero pronounced “banana-ty”. The “ty” stands for ten. These are easy facts to learn and remember, but don’t take them for granted. Make sure they are mastered using any of the techniques shown below. 5-
Lesson 5 Multiply by 10, 10¢ = 1 Dime
Another way to show this is on a number chart. Circling all of the 10 facts, or multiples of 10, reveals the pattern that corresponds to the blocks above. On the skip counting sheets, there have been rectangles where the student wrote in the fact at the end of the line in the space with an underline. These can be put to the same use by adding the multiplication problem to the multiple of 10. Here are a few examples. 10•6=60 10•5=50 10•4=40 10•3=30 10•2=20 10•1= 1 2 3 4 5 6 7 8 9 10 20 11 12 13 14 15 16 17 18 19 30 21 22 23 24 25 26 27 28 29 40 31 32 33 34 35 36 37 38 39 50 41 42 43 44 45 46 47 48 49 70 61 62 63 64 65 66 67 68 69 80 71 72 73 74 75 76 77 78 79 90 81 82 83 84 85 86 87 88 89 100 91 92 93 94 95 96 97 98 99 60 51 52 53 54 55 56 57 58 59 0
ly a 0 at is of the 5- Here are the ten facts with the corresponding numbering. Counting by ten is the first step. After this is accomplished, say the factors slowly, then ask the student to say the product. For example, you say, “ten counted one time” or “ten times one” and the student says “ten”. Continue by saying “ten times two” and the student says “twenty”. (I often have them say two- ty as well as twenty to show there is order in our words). Proceed through all the facts sequentially just like they learned to count by ten. 10 “10 counted 1 time” “10 counted 4 times” “10 counted 9 times” 0 20 30 40 50 60 70 80 90 100 (10)(0) Of course each fact can be built in the shape of a rectangle. Whenever illustrating with the blocks, also write it and say it as you build. 10 counted 5 times is the same as 50, or 10 times 5 equals 50, or 10 over and 5 up is 50. 5- (10)(1) (10)(2) (10)(3) (10)(4) (10)(5) (10)(6) (10)(7) (10)(8) (10)(9) (10)(10)
Money 10 ¢ = 1 Dime A good place to apply math is with money. We’ve learned that 10¢ is the
same as 1 dime, so we can ask how many pennies in 6 dimes to apply 6 times 10. The answer is 60¢. Consider the example. Example Dime = =^ 1¢ 1¢^ 1¢^ 1¢^ 1¢ How many pennies in 6 dimes? 6 • 10¢ = 60¢
10¢^ 1¢^ 1¢^ 1¢^ 1¢^ 1¢
0x0 0x1 0x2 0x3 0x4 0x5 0x6 0x7 0x8 0x9 0x 1x0 1x1 1x2 1x3 1x4 1x5 1x6 1x7 1x8 1x9 1x 2x0 2x1 2x2 2x3 2x4 2x5 2x6 2x7 2x8 2x9 2x 3x0 3x1 3x2 3x3 3x4 3x5 3x6 3x7 3x8 3x9 3x 4x0 4x1 4x2 4x3 4x4 4x5 4x6 4x7 4x8 4x9 4x 5x0 5x1 5x2 5x3 5x4 5x5 5x6 5x7 5x8 5x9 5x 6x0 6x1 6x2 6x3 6x4 6x5 6x6 6x7 6x8 6x9 6x 7x0 7x1 7x2 7x3 7x4 7x5 7x6 7x7 7x8 7x9 7x 8x0 8x1 8x2 8x3 8x4 8x5 8x6 8x7 8x8 8x9 8x 9x0 9x1 9x2 9x3 9x4 9x5 9x6 9x7 9x8 9x9 9x 10x0 10x1 10x2 10x3 10x4 10x5 10x6 10x7 10x8 10x9 10x
Lesson Practice 5B Find the answer by multiplying.
- 10 x 8 =______ 2) 1 x 10 =______ 3) 10 x 9 =______ 4) 0 x 10 =______
- (10)(5) =______ 6) (10)(4) =______ 7) 10 • 6 =______ 8) 10 • 10 =______
- There were ten math problems on each of five pages. How many problems were there in all?______
x 8
x 7
x 2
x 1
- Ten counted six times equals ________.
- 10 x 5 =______ 5 x 10 =______
- 8 x 10 =______ 10 x 8 =______
- 10 x 0 =______ 0 x 10 =______
- 10 x 9 =______ 9 x 10 =______ Lesson Practice 5C
- Skip count and write the missing numbers, then fill in the missing factors under the lines.
(10)(0)
- How many pennies in seven dimes?______ (^) 10¢ 10¢ 10¢ 10¢ 10¢ 10¢ 10¢
Lesson Practice 5C Find the answer by multiplying.
- 3 x 10 =______ 2) 8 x 10 =______ 3) 10 x 1 =______ 4) 2 x 10 =______
- (10)(9) =______ 6) (7)(10) =______ 7) 10 • 5 =______ 8) 6 • 10 =______
- The professor paid two ten dollar bills for his new book. How much did the book cost?
x 0
x 4
x 10
x 3 Color all the boxes that have a number you would say when skip counting by 10. What kind of pattern do you see? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
- Ten counted three times equals _______.
- 10 x 1 =______ 1 x 10 =______
- 10 x 4 =______ 4 x 10 =______
- 10 x 2 =______ 2 x 10 =______
- 7 x 10 =______ 10 x 7 =______ Systematic Review 5D
- How many pennies, or cents, in five dimes?______ (^) 10¢ 10¢ 10¢ 10¢ 10¢
Systematic Review 5E Find the answer by multiplying.
- 10 • 8 =______ 2) 6 x 10 =______ 3) 10 • 9 =______ 4) (10)(0) =______
- 5 x 1
x 2
x 1
x 5
- Grandma made 6 cherry pies and 4 apple pies. Aunt Mona cut each pie into 10 pieces. How many pieces of pie were there when she was done?______
13) 389 = ______ + ______ +______
- 9 x 1 = 1 x 9 =
- 3 x 10 = 10 x 3 =
x 2
x 5
- Noah bought 9 quarts of milk. How many pints of milk does he have?______ Add or subtract.
- 4 6
- How many cents are there in eight dimes?______
- There are four people in our family. How many fingers do we have in all?______ Systematic Review 5F
14) 72 = ______ + ______
Rewrite using place value notation.
Systematic Review 5F Find the answer by multiplying.
- 4 • 1 =______ 2) 2 x 10 =______ 3) 10 • 3 =______ 4) (10)(9) =______
- 6 x 2
x 8
x 7
x 1
- Max has $5 dollars and Wayne has ten times as much money as Max. How many dollars does Wayne have? How much money do Max and Wayne have altogether?______
x 2
x 2
x 6
x 0
- Karyn filled 8 quart jars with jam. How many pints of jam did she make? ______ Add or subtract.
- 5 2
- What is five counted ten times?______
- How many cents does Shane have if he has nine dimes?______
13) 164 = ______ + ______ +______ 14) 58 = ______ + ______
Rewrite using place value notation.
Solutions 4F - 5E
(10)( 3 ) , 40 (10)(6) , 70 (10)(9) , 100 (10)( 10 )
- 4F
- 30, 35, 40, 45, 13) 5, 10, 15, 20, 25,
- 100 + 30 +
- 400 + 70 +
- 2 x 10 =
- 3 x 2 =
- 2 x 2 =
- 3 x 2 =
- 4 + 6 = - 1) 5B - 2) - 3) - 4) - 5) - 6) - 7) - 8) - 9) - 10) - 11) - 12) - 13) - 14) - 15) - 16) - 17) - , (10)( 1 ) - , (10)(2) - , (10)(4) - , (10)(5) - , (10)(7) - , (10)(8) - 19) 18) 70¢ - 20) 10 x 5 = - 1) 5D - 2) - 3) - 4) - 5) - 6) - 7) - 8) - 9) - 10) - 11) - 12) - 13) - 14) - 15) - 16) - 17) - 18) - 19) - 20) - 21) - 22) 70 + 20 = - 1) 5C - 2) - 3) - 4) - 5) - 6) - 7) - 8) - 9) - 10) - 11) - 12) - 13) - 14) - 15) - 16) - 17) see 5A # - 19) 18) 50¢ - 20) $10x2=$ - 1) 5E - 2) - 3) - 4) - 5) - 6) - 7) - 8) - 9) - 10) - 11) - 12) - 13) 300 + 80 + - 14) 70 + - 15) - 16) - 17) - 18) - 20) 19) 80¢ - 21) 6 + 4 = - 10x10= - 22) 9 x 2 = - 1) 5A - 2) - 3) - 4) - 5) - 6) - 7) - 8) - 9)
