Students can use the **Spectrum Math Grade 3 Answer Key**** Chapter 1 Lesson 1.6 Subtracting 2-Digit Numbers (with renaming)** as a quick guide to resolve any of their doubts

## Spectrum Math Grade 3 Chapter 1 Lesson 1.6 Subtracting 2-Digit Numbers (with renaming) Answers Key

**Subtract.**

Question 1.

a.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 0 at one’s place in minuend, we can rename 30 as 2 tens and 10 ones. Now, subtract 2 from 10 where difference is equal to 8. So, 8 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 2 tens. So, subtract 2 from 2 which is 0. So, the total difference is equal to 8.

b.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 22 as 1 ten and 12 ones. Now, subtract 9 from 12 where difference is equal to 3. So, 3 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 1 ten. So, subtract 1 from 1 which is 0. So, the total difference is equal to 3.

c.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 53 as 4 tens and 13 ones. Now, subtract 8 from 13 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 4 tens. So, subtract 2 from 4 which is 2. So, the total difference is equal to 25.

d.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 1 at one’s place in minuend, we can rename 41 as 3 tens and 11 ones. Now, subtract 7 from 11 where difference is equal to 4. So, 4 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 3 tens. So, subtract 2 from 3 which is 1. So, the total difference is equal to 14.

e.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 92 as 8 tens and 12 ones. Now, subtract 6 from 12 where difference is equal to 6. So, 6 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 8 tens. So, subtract 5 from 8 which is 3. So, the total difference is equal to 36.

f.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 6 at one’s place in minuend, we can rename 86 as 7 tens and 16 ones. Now, subtract 7 from 16 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 2 from 7 which is 5. So, the total difference is equal to 59.

Question 2.

a.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 83 as 7 tens and 13 ones. Now, subtract 6 from 13 where difference is equal to 7. So, 7 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 6 from 7 which is 1. So, the total difference is equal to 17.

b.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 62 as 5 tens and 12 ones. Now, subtract 6 from 12 where difference is equal to 6. So, 6 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 5 tens. So, subtract 5 from 5 which is 0. So, the total difference is equal to 6.

c.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 1 at one’s place in minuend, we can rename 51 as 4 tens and 11 ones. Now, subtract 7 from 11 where difference is equal to 4. So, 4 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 4 tens. So, subtract 1 from 4 which is 3. So, the total difference is equal to 34.

d.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 4 at one’s place in minuend, we can rename 34 as 2 tens and 14 ones. Now, subtract 5 from 14 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 2 tens. So, subtract 1 from 2 which is 1. So, the total difference is equal to 19.

e.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 6 at one’s place in minuend, we can rename 46 as 3 tens and 16 ones. Now, subtract 9 from 16 where difference is equal to 7. So, 7 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 3 tens. So, subtract 2 from 3 which is 1. So, the total difference is equal to 17.

f.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 7 at one’s place in minuend, we can rename 57 as 4 tens and 17 ones. Now, subtract 8 from 17 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 4 tens. So, subtract 3 from 4 which is 1. So, the total difference is equal to 19.

Question 3.

a.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 72 as 6 tens and 12 ones. Now, subtract 7 from 12 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 6 tens. So, subtract 3 from 6 which is 3. So, the total difference is equal to 35.

b.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 82 as 7 tens and 12 ones. Now, subtract 7 from 12 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 6 from 7 which is 1. So, the total difference is equal to 15.

c.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 4 at one’s place in minuend, we can rename 64 as 5 tens and 14 ones. Now, subtract 8 from 14 where difference is equal to 6. So, 6 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 5 tens. So, subtract 1 from 5 which is 4. So, the total difference is equal to 46.

d.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 6 at one’s place in minuend, we can rename 86 as 7 tens and 16 ones. Now, subtract 7 from 16 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 5 from 7 which is 2. So, the total difference is equal to 29.

e.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 1 at one’s place in minuend, we can rename 41 as 3 tens and 11 ones. Now, subtract 6 from 11 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 3 tens. So, subtract 1 from 3 which is 2. So, the total difference is equal to 25.

f.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 53 as 4 tens and 13 ones. Now, subtract 9 from 13 where difference is equal to 4. So, 4 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 4 tens. So, subtract 2 from 4 which is 2. So, the total difference is equal to 24.

Question 4.

a.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 4 at one’s place in minuend, we can rename 24 as 1 ten and 14 ones. Now, subtract 7 from 14 where difference is equal to 7. So, 7 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 1 ten. So, subtract 1 from 1 which is 0. So, the total difference is equal to 7.

b.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Subtract 0 from 0 where difference is equal to 0. So, 6 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place. Subtract 2 from 6 which is 4. So, the total difference is equal to 40.

c.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 6 at one’s place in minuend, we can rename 86 as 7 tens and 16 ones. Now, subtract 7 from 16 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 2 from 7 which is 5. So, the total difference is equal to 59.

d.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 93 as 8 tens and 13 ones. Now, subtract 6 from 13 where difference is equal to 7. So, 7 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 8 tens. So, subtract 2 from 8 which is 6. So, the total difference is equal to 67.

e.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 52 as 4 tens and 12 ones. Now, subtract 7 from 12 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 4 tens. So, subtract 1 from 4 which is 3. So, the total difference is equal to 35.

f.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 7 at one’s place in minuend, we can rename 47 as 3 tens and 17 ones. Now, subtract 8 from 17 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 3 tens. So, subtract 2 from 3 which is 1. So, the total difference is equal to 19.

Question 5.

a.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 6 at one’s place in minuend, we can rename 86 as 7 tens and 16 ones. Now, subtract 8 from 16 where difference is equal to 8. So, 8 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 3 from 7 which is 4. So, the total difference is equal to 48.

b.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 5 at one’s place in minuend, we can rename 45 as 3 tens and 15 ones. Now, subtract 8 from 15 where difference is equal to 7. So, 7 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 3 tens. So, subtract 1 from 3 which is 2. So, the total difference is equal to 27.

c.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 42 as 3 tens and 12 ones. Now, subtract 9 from 12 where difference is equal to 3. So, 3 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 3 tens. So, subtract 1 from 3 which is 2. So, the total difference is equal to 23.

d.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 6 at one’s place in minuend, we can rename 96 as 8 tens and 16 ones. Now, subtract 9 from 16 where difference is equal to 7. So, 7 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 8 tens. So, subtract 3 from 8 which is 5. So, the total difference is equal to 57.

e.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 63 as 5 tens and 13 ones. Now, subtract 7 from 13 where difference is equal to 6. So, 6 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 5 tens. So, subtract 2 from 5 which is 3. So, the total difference is equal to 36.

f.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 7 at one’s place in minuend, we can rename 87 as 7 tens and 17 ones. Now, subtract 8 from 17 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 6 from 7 which is 1. So, the total difference is equal to 19.

Question 6.

a.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 53 as 4 tens and 13 ones. Now, subtract 7 from 13 where difference is equal to 6. So, 6 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 4 tens. So, subtract 1 from 4 which is 3. So, the total difference is equal to 36.

b.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 92 as 8 tens and 12 ones. Now, subtract 5 from 12 where difference is equal to 7. So, 7 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 8 tens. So, subtract 4 from 8 which is 4. So, the total difference is equal to 47.

c.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 6 at one’s place in minuend, we can rename 86 as 7 tens and 16 ones. Now, subtract 8 from 16 where difference is equal to 8. So, 8 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 1 from 7 which is 6. So, the total difference is equal to 68.

d.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 72 as 6 tens and 12 ones. Now, subtract 7 from 12 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 6 tens. So, subtract 1 from 6 which is 5. So, the total difference is equal to 55.

e.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 63 as 5 tens and 13 ones. Now, subtract 5 from 13 where difference is equal to 8. So, 8 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 5 tens. So, subtract 4 from 5 which is 1. So, the total difference is equal to 18.

f.

Answer:

Explanation:

While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 52 as 4 tens and 12 ones. Now, subtract 3 from 12 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 4 tens. So, subtract 1 from 4 which is 3. So, the total difference is equal to 39.