Question

Use the following pattern to answer the questions. 24.3, 24, 23.7, 23.4, ___,____. part A. ( what is the rule for the pattern?

A. add 0.3 to each term

B. subtract 0.3 from each term.

C. add 0.03 to each term.

D. subtract 0.03 from each term


part B

complete the next two terms in the pattern

24.3,. 24, 23 7,. 23,4 choose option 1( 23.1, 23.5, 24.1 ,24,5)
option 2( 22.2,. 22.4, 22.6, 22.8)


3. which explains where the sum of 0.52+0.61 is less than or greater than 1.

A. the sum is less than 1 because both decimals are less than 1.

B. the sum is less than 1 because the sum does not completely shade one hundredths grid.

C. the sum is greater than 1 because the sum shades more than one hundredths grid.

D. the sum is greater than 1 because any two hundredths decimals added together is greater than one.


4. Holland added three decimals that made a sum of 2. one of the decimals was 0.34. what are two other decimals Holland could have used to make a sum of 2? Explain how you know.

5. Maysa made an error in her work on the following problem
3.5 - 2.46 = 1.16

describe Maysa's error. . Explain how you would use a model or place- value concepts to help Maysa build understanding. Give the correct answer in your explanation.

Answer 1

Option B. Subtract 0.3 from each term.

Explanation:

If you follow the pattern 24.3-24=0.3

similarly 24-23.7=0.3

23.7-23.4=0.3

Conclusion : We will subtract 0.3 every time in order to get the new number.

Answer 2

Question 1:

For this case we have the following pattern of numbers:

24.3, 24, 23.7, 23.4

It can be seen that subtracting 0.3 from the first number of the pattern gives
`24.3-0.3 = 24\\`

Equally if we subtract 0.3 successively we obtain:

`24-0.3 = 23.7\\\\23.7-0.3 = 23.4\\\\23.4-0.3 = 23.1\\\\23.1-0.3 = 22.8\\`

Thus, 0.3 must be subtracted from each term and the following numbers of the pattern shall be 23.1 and 22.8

Answer:

subtract 0.3 from each term

The next two numbers of the pattern are 23.1 and 22.8

Question 2:

For this case we have the following operation:

`0.52 + 0.61 = 1.13\\\\1.13> 1\\`

We note that the sum is greater than 1

The sum of two hundredth decimals does not necessarily have to be greater than 1.

Therefore, the correct option is: the sum is greater than 1 because the sum shades more than one hundredths grid.

Answer:

Option C

Question 3:

For this case we have to:

`a + b + c = 2\\`

Being a, b, c decimal numbers, one of them was 0.34. Suppose
`a = 0.34\\`

Thus:
`0.34 + b + c = 2\\`

We choose values ​​for b and c, in order to obtain the number 2 as a result of the sum. We can choose infinite values ​​so that equality is fulfilled

If
`b = 0.96` and

`c = 0.7\\`

we have:
`0.34 + 0.96 + 0.7 = 2\\`

Thus, Holland can add to the sum
`b = 0.96` and
`c = 0.7\\`

Answer:

`b = 0.96\\\\c = 0.7\\`

Question 4:

For this case we have the following subtraction:

`3.5 - 2.46 = 1.16\\`

This operation is wrong, subtracting
`3.5-2.46` results in 1.04

Let's explain a model for Maysa:

We have the following expression

`3.5 - 2.46\\`

Rewriting each number in expanded form we have:

`(3 + 0.5) - (2 + 0.46)\\`

Using the distributive property we have:

`(3 + 0.5) -2-0.46\\`

Using the associative property we have:

`(3-2) + (0.5-0.46)\\`

Performing each operation:

`1 + 0.04 = 1.04\\`

Anwer:

The subtraction of Maysa is wrong, the correct answer is:

`3.5 - 2.46 = 1.04`