Add Integers With Counters Problems

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#1 of 8: Mild

Add integers with counters

Find the sum of `-2` and `-4` using the model below.<SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles > + <SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles >

#2 of 8: Mild

Add integers with counters

Find the sum of `-2` and `-3` using the model below.<SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles > + <SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles >

#3 of 8: Mild

Add integers with counters

Find the sum of `-3` and `-5` using the model below.<SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles > + <SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles >

#4 of 8: Medium

Add integers with counters

Find the sum of `-2` and `4` using the model below. <SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles > + <SignTiles data-props='{ "items": [ { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles >

#5 of 8: Medium

Add integers with counters

Find the sum of `5` and `-5` using the model below. <SignTiles data-props='{ "items": [ { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles > + <SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles >

#6 of 8: Medium

Add integers with counters

Find the sum of `-2` and `1` using the model below.<SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles > + <SignTiles data-props='{ "items": [ { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles >

#7 of 8: Medium

Add integers with counters

Find the sum of `-2` and `8` using the model below. <SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles > + <SignTiles data-props='{ "items": [ { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles >

#8 of 8: Medium

Add integers with counters

Find the sum of `-7` and `4` using the model below.<SignTiles data-props='{ "items": [ { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "-", "color": "red", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles > + <SignTiles data-props='{ "items": [ { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false }, { "signs": [ { "value": "+", "color": "green", "highlight": false, "disabled": false } ], "highlight_pair": false } ]}'></SignTiles >

Adding integers with the help of counters makes integer addition very simple. Counters let us visualize the problem expression and then remove zero-sum pairs. We can represent counters in any color. For example, by adding -9 & +4, we can use 9 -ve counters (red) and 4 +ve counters (white). Now, eliminating pairs would have 5 -ve counters as the answer.

Teachers can share these Add Integers with counters Problems to increase students’ grasp of the general rules for adding integers.

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Grade 7

Signed Number Operations

7.NS.A.1.B