Determine the relationships
When working with decimals, think money
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What is the relationship amongst and between the equations above? In the example, the dividends change by ___________ as we move from A to C. The divisors __________________________________ and the quotients all change by ______________ as we move from A to C. This shows that if the divisor stays the same, the quotient will change similarly to the dividend. As the total amount (dividend) decreases and the divisor stays the same, the quotient will decrease too because you are dividing smaller and smaller amounts. It is the difference between 5 children sharing 5 whole cookies and 5 children sharing one cookie. If five children share five cookies, each child will get a whole cookie (5 |
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What is the relationship between the expressions and examples above? When the dividend stays the same as shown in the equations above, and the divisor gets smaller and smaller, the quotient will ________________________________________________________. The divisors above change by _________________ from A to C. The quotients _________________________ by _____________________________. If you are dividing the same amount, the smaller the divisor, the greater the ________________________. If a child is dividing one cookie by 2, each person will get ½ of the cookie, but if a child is dividing a cookie by 10, each child will only get 1/10 of a cookie. The greater the divisor, the smaller the __________________. The smaller the ________________, the greater the _____________________. |
Complete the patterns
.01 | .02 | .03 | .06 | .09 | .10 | ||||
.11 | .12 | .13 | .14 | .15 |
What is the rule for the pattern above? ______________
What coin does this pattern represent? ______________
.05 | .10 | .20 | .35 | .50 | |||||||
.65 | .90 | 1.00 | 1.10 | 1.20 |
What is the rule for the pattern above? ______________
What coin does this pattern represent? ______________
.10 | .20 | .60 | 1.00 | ||||||||
1.30 | 1.70 | 2.10 | 2.40 |
What is the rule for the pattern above? ______________
What coin does this pattern represent? ______________
.25 | .75 | 1.00 | 1.50 | 1.75 | 2.00 | 3.00 | |||||
3.50 | 4.25 | 5.50 |
What is the rule for the pattern above? ______________
What coin does this pattern represent? ______________
.50 | 1.00 | 1.50 | 3.00 | 6.00 | |||||||
7.00 | 9.50 | 11.50 |
What is the rule for the pattern above? ______________
What coin does this pattern represent? ______________
15 min. | 30 min. | 45 min. | 60 min. | 75 min. | 90 min. | 120 min | 150 min | ||||
¼ hr. | ½ hr. | ¾ hr. | 1 hr. | 1 ¼ hr. | 1 ¾ hr. | 2 ¼ hr. | 2 ¾ hr. |
This is a time pattern. What is the rule for the pattern above? ______________