Hunter started with the following model to show the problem 1 . 45 ÷ 5 1 . 45 ÷ 5 . One 10 by 10 flat, 4 rods of 10 cubes , and
1 answer:
The model Hunter uses makes the division possible given that each
number of digits in a place value are represented by a cube.
- The number of hundredth in each division group is <u>D. 9</u>
Reasons:
The model Hunter started to show the problem is as follows;
Number of 10 by 10 flat = 1
Number of rods of 10 cubes = 4
Number of single cubes = 5
The division is 1.45 ÷ 5, which can be expressed as follows;
Given that the 5 cubes represent the .05 in 1.45, we have;
1 cube = 0.01
Dividing each of the set by 5 gives, for each of the division group;
10 by 10 flat ÷ 5 = 10 × 2 flat = 20 cubes = 20 × 0.01 = 0.2
4 rods × 10 cubes ÷ 5 = 40 cubes ÷ 5 = 8 cubes = 8 × 0.01 = 0.08
5 cubes ÷ 5 = 1 cube = 1 × 0.01 = 0.01
Therefore, each of the division group is 0.2 + 0.08 + 0.01 = 0.29
<em>The </em><em>tenths </em><em>are the </em><em>digits </em><em>after the </em><em>decimal point </em><em>to the </em><em>right</em><em>.</em>
<em />
The hundredths are the digits in the second position after the decimal point to the right.
<em>The </em><em>number </em><em>of </em><em>tenths</em><em> in each group, </em><em>(0.2)</em><em> = 2</em>
<em>There are 2 tenths in each group</em>
The number of hundredths in each group, (0.09) = 9
There are 9 hundredths in each group.
Therefore;
The correct response to the question on how many hundredths would be there in each of the division groups is <u>D. 9</u>
Learn more about division and place values here:
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