---
title: "Multiply & Add Problems"
description: "Solve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems"
canonical: https://lightmysky.com/learn/mathematics/multiply-and-add-problems-mt_AR-K72OIIO
source: https://lightmysky.com/learn/mathematics/multiply-and-add-problems-mt_AR-K72OIIO.md
retrieved: 2026-10-19
---

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# Multiply & Add Problems

Solve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems

Subject: Mathematics · Area: Multiplication & Division · Ages 8 to 9
Page: https://lightmysky.com/learn/mathematics/multiply-and-add-problems-mt_AR-K72OIIO

## Ready when they can

- Use the distributive law to solve 14 × 6 as 10 × 6 + 4 × 6
- Solve a scaling problem (e.g. 'A tower is 3 times as tall as a 15 m building')
- Solve a correspondence problem (e.g. '3 types of bread, 4 types of filling — how many different sandwiches?')

## Lesson: Multiply and add: breaking numbers apart

You already know how to multiply and how to split numbers apart. This time, you'll use both skills together. To multiply a bigger number, split it into two smaller parts, multiply each part, then add the answers.

**Example.** 14 × 6 splits into 10 × 6 and 4 × 6. That gives you 60 + 24, which equals 84.

*(drawing: The tower is 3 times as tall as the 15 m building. 3 × 15 = 45 m.)*

**Example.** A shop sells 3 kinds of bread and 4 kinds of filling. Every bread can pair with every filling, so there are 3 × 4 = 12 different sandwiches.

**Tip.** When you split a number apart, every part needs to be multiplied. If you skip a part, your answer comes out too small.

**Recap.** Split a number into parts, multiply each part, then add the results together.

## Practice

17 questions on this page, each with its working shown.

## Needs first

- [Written Multiplication](https://lightmysky.com/learn/mathematics/written-multiplication-mt_18fK9sQdIz)
- [Multi-Step Multiply & Divide](https://lightmysky.com/learn/mathematics/multi-step-multiply-and-divide-mt_EmR5n58jZt)
- [Properties of Operations](https://lightmysky.com/learn/mathematics/properties-of-operations-mt_Lb2ZnMdkYR)

## Opens up

- [Multi-step word problems with remainders](https://lightmysky.com/learn/mathematics/multi-step-word-problems-with-remainders-mt_p-nbe0w_lf)